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Thermal field management in thyroid ablation for papillary thyroid carcinoma:Advancing precision and patient-centered care
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作者 Sivan Sathish 《World Journal of Radiology》 2025年第12期1-6,共6页
Thermal ablation has become an established minimally invasive alternative to surgery for papillary thyroid carcinoma,particularly in low-risk patients seeking effective treatment with reduced morbidity.While clinical ... Thermal ablation has become an established minimally invasive alternative to surgery for papillary thyroid carcinoma,particularly in low-risk patients seeking effective treatment with reduced morbidity.While clinical outcomes are favorable,wide variability in complication rates and patient-reported experiences persists across centers and operators,emphasizing the need for strategies that standardize safety and enhance quality of life.Cai et al now introduce thermal field management(TFM),a thoughtful approach that reframes thermal ablation from a purely technical procedure into a precision-guided,patient-centered intervention.By deliberately confining the ablation zone to protect surrounding tissues,TFM addresses complications such as voice change and pain,issues often overlooked in the pursuit of technical success.Their findings,showing reduced complications and improved patient comfort,highlight the value of integrating patient-reported outcomes into routine ablation practice.This places TFM within the broader trajectory of interventional oncology,where precision and patientcenteredness are becoming central goals.If validated in multicenter prospective studies,TFM could extend beyond thyroid cancer and inform the evolution of safer,standardized ablative therapies across multiple organ systems. 展开更多
关键词 thermal ablation thermal field management Papillary thyroid carcinoma Thyroid cancer Oncologic safety
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Origin and Evolution Characteristics of Geothermal Water in the Niutuozhen Geothermal Field,North China Plain 被引量:18
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作者 王树芳 庞忠和 +3 位作者 刘久荣 林沛 刘思达 殷铭 《Journal of Earth Science》 SCIE CAS CSCD 2013年第6期891-902,共12页
Statistical study of analyses of water from 43 samples from geothermal wells, three groundwater wells, and one sample of local rainwater along with rainwater data from the Global Net- work of Isotopes in Precipitation... Statistical study of analyses of water from 43 samples from geothermal wells, three groundwater wells, and one sample of local rainwater along with rainwater data from the Global Net- work of Isotopes in Precipitation has been used to identify the origin and evolution of geothermal water in the Niutuozhen (~f=~jg) geothermal field and estimate the renewability rate of its geothermal re- source. The results show that the geothermal waters of the Jixianian Wumishanian dolomite reservoir and the Ordovician limestone reservoir are of CI-Na type, the geothermal water of the Pliocene Minghuazben (H~/~) Formation sandstone reservoir are CI-Na type and HCO3-Na type and the groundwater of the Quaternary aquifer is HCO3-Na and HCO3-Na.Mg.Ca type. A linear relationship between silica concentration and temperature indicates that higher temperature probably enhances concentration of silica in Jixianian geothermal water. 81SO shift in Wumishanian geothermal water av- eraged 1.57%o, and was less than 1%o in the other geothermal waters. The minimum and maxi-mum 14C ages of Wumishanian geothermal wa- ter are 17 000 and 33 000 years from north to the south of the Niutuozhen geothermal field. Geo- thermal water and Quaternary groundwater belong to different groundwater systems with no hydraulic connections. Although the geothermal field receives some recharge from the Yanshan and Taihang mountains outside the northern and western boundaries of the geothermal field re- spectively, the renewability rate of geothermal water is on the scale of 10 000 years. 展开更多
关键词 HYDROGEOCHEMISTRY ISOTOPE geothermal water origin and evolution Niutuozhen geo-thermal field.
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Simulation of thermal field induced by concave spherical transducer in multi-layer media 被引量:5
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作者 丁亚军 钱盛友 廖志远 《Journal of Central South University》 SCIE EI CAS 2013年第11期3166-3170,共5页
High intensity focused ultrasound(HIFU)therapy is an effective method in clinical treatment of tumors,in order to explore the bio-heat conduction mechanism of in multi-layer media by concave spherical transducer,tempe... High intensity focused ultrasound(HIFU)therapy is an effective method in clinical treatment of tumors,in order to explore the bio-heat conduction mechanism of in multi-layer media by concave spherical transducer,temperature field induced by this kind of transducer in multi-layer media will be simulated through solving Pennes equation with finite difference method,and the influence of initial sound pressure,absorption coefficient,and thickness of different layers of biological tissue as well as thermal conductivity parameter on sound focus and temperature distribution will be analyzed,respectively.The results show that the temperature in focus area increases faster while the initial sound pressure and thermal conductivity increase.The absorption coefficient is smaller,the ultrasound intensity in the focus area is bigger,and the size of the focus area is increasing.When the thicknesses of different layers of tissue change,the focus position changes slightly,but the sound intensity of the focus area will change obviously.The temperature in focus area will rise quickly before reaching a threshold,and then the temperature will keep in the threshold range. 展开更多
关键词 multi-layer media concave spherical transducer high intensity focused ultrasound thermal field
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NUMERICAL ANALYSIS AND EXPERI-MENT OF UNSTEADY THERMAL FIELD OF ROTOR PLATE FOR EDDY CURRENT RETARDER 被引量:11
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作者 LIU Chengye HE Ren 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2008年第4期71-75,共5页
The physical model based on heat transfer theory and virtual boundary method for analyzing unsteady thermal field of rotor plate for eddy current retarder used in automobile is established and boundary conditions are ... The physical model based on heat transfer theory and virtual boundary method for analyzing unsteady thermal field of rotor plate for eddy current retarder used in automobile is established and boundary conditions are also defined. The finite element governing equation is derived by Galerkin method. The time differential item is discrete based on Galerkin format that is stable at any condition. And a new style of varying time step method is used in iteration process. The thermal field on the rotor plate at the radial and axle directions is analyzed and varying temperature at appointed points on two side-surfaces is measured. The testing and analytical data are uniform approximately. Finite element method can be used for estimating thermal field of the rotor plate at initial design stage of eddy current retarder. 展开更多
关键词 Eddy current retarder thermal field Numerical analysis Varying time step method
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Research on microstructure and properties of boron/Q235 steel laser welded dissimilar joints under synchronous thermal field 被引量:4
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作者 周广涛 黄涛 +2 位作者 郭玉龙 黄奇凡 张波 《China Welding》 CAS 2023年第4期38-48,共11页
The mechanical mismatch effect frequently occurs in the dissimilar materials welded joints, thus leading to plastic gradient at the interface between the weld and heat-affected zone(HAZ). In this work, the boron steel... The mechanical mismatch effect frequently occurs in the dissimilar materials welded joints, thus leading to plastic gradient at the interface between the weld and heat-affected zone(HAZ). In this work, the boron steel and Q235 steel were selected for laser tailor welding,which obtained boron/Q235 steel tailor-welded blanks(TWBs). The method of welding with synchronous thermal field(WSTF) was utilized to eliminate the mismatch effects in TWBs. The WSTF was employed to adjust cooling rates of welded joints, thereby intervening in the solidification behaviors and phase transition of the molten pool. Boron/Q235 steel was welded by laser under conventional and WSTF(300-600 ℃) conditions, respectively. The results show that the microstructure of weld and HAZ(boron) was adequately transitioned to ferrites and pearlites instead of abundant martensite by WSTF. Meanwhile, the discrepancy of microhardness and yield strength between various regions of welded joints was greatly reduced, and the overall plasticity of welded joints was enhanced by WSTF. It is indicated that WSTF can effectively contribute to reducing plastic gradient and achieving mechanical congruity in welded joints by restraining the generation of hardbrittle phase, which could significantly improve the formability of TWBs in subsequent hot stamping. 展开更多
关键词 dissimilar metal welding laser tailor welded blank synchronous thermal field boron steel microstructure mechanical property
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Entanglement in Three-Atom Tavis-Cummings Model Induced by a Thermal Field 被引量:2
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作者 CAIJin-Fang LIUHui-Ping 《Communications in Theoretical Physics》 SCIE CAS CSCD 2005年第3期427-431,共5页
The explicit form of the evolution operator for the three-atom Tavis-Cummings model is given. The atoms can be entangled through their interaction with a thermal field. The degree of entanglement depends on the mean p... The explicit form of the evolution operator for the three-atom Tavis-Cummings model is given. The atoms can be entangled through their interaction with a thermal field. The degree of entanglement depends on the mean photon number of the thermal field and the initial state of the atoms. 展开更多
关键词 ENTANGLEMENT evolution operator Tavis-Cummings model thermal field
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Influence of gas flow on thermal field and stress during growth of sapphire single crystal using Kyropoulos method 被引量:2
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作者 LI Jinquan SU Xiaoping +4 位作者 NA Mujilatu YANG Hai LI Jianmin YU Yunqi MI Jianjun 《Rare Metals》 SCIE EI CAS CSCD 2006年第z2期260-266,共7页
The professional modeling software package CrysVUn was employed to study the process of a large sapphire single crystal growth using Kyropoulos method.The influence of gas pressure on thermal field,solid-liquid interf... The professional modeling software package CrysVUn was employed to study the process of a large sapphire single crystal growth using Kyropoulos method.The influence of gas pressure on thermal field,solid-liquid interface shape,gas velocity field and von Mises stress were studied for the first time.It is found that the root of the seed melt when gas pressure equals to one atmosphere or more than one atmosphere,especially during the seeding period,this result is consistent with the experimental observation,and this paper presents three ways to solve this problem.The temperature gradient and stress decreases significantly as the gas pressure increases.The convexity of the solid-liquid interface slightly increases when the gas pressure increases.Numerical analysis was used to optimize the hot zone design. 展开更多
关键词 gas convection thermal field von Mises stress sapphire single crystal numerical simulation
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Monitoring thermal field,humidity field and energy balance over heterogeneous surfaces in the typical valley-city 被引量:1
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作者 LI Guodong ZHANG Junhua +3 位作者 MIRZAEI Parham A. DING Shengyan DING Yapeng LIU Man 《Journal of Geographical Sciences》 SCIE CSCD 2020年第12期2015-2032,共18页
Land use and land cover(LULC)alteration has changed original energy balance and heat fluxes between land and atmosphere,and thus affects the structure characteristics of temperature and humidity fields over urban hete... Land use and land cover(LULC)alteration has changed original energy balance and heat fluxes between land and atmosphere,and thus affects the structure characteristics of temperature and humidity fields over urban heterogeneous surfaces in different spatio-temporal scales.Lanzhou is the most typical river valley city of China,it is chosen as the case study.Typical river valley terrain,rapid urbanization and severe air pollution have caused unique urban climate and urban heat island(UHI)effects in Lanzhou.Firstly,the spatial structure characteristics and dynamic evolution of temperature and humidity fields in autumn are simulated by mobile measurement experiment and GIS spatial analysis method.The results show that temperature and humidity fields have significant dynamic change within a day,and have multiple center and multiple intensity level characteristics.Then,LULC and normalized difference vegetation index(NDVI)are extracted from remote sensing images,the distribution patterns of temperature and humidity fields have close relationships with LULC and NDVI.Moreover,there is a significant positive correlation between impervious surface area and thermal field intensity.A positive correlation between NDVI value and humidity field intensity has been found as well as a negative correlation between NDVI value and thermal field intensity.Finally,heat fluxes and energy balance characteristics between ground and atmosphere are analyzed based on the Bowen-ratio System experiments.This study could provide theoretical support and practical guidance for urban planning,urban eco-environment construction and air pollution prevention of river valley city. 展开更多
关键词 thermal field humidity field energy balance heat fluxes LULC VALLEY-CITY
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Flame behavior, shock wave, and instantaneous thermal field generated by unconfined vapor-liquid propylene oxide/air cloud detonation 被引量:1
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作者 Cong-liang Ye Qing-lei Du +1 位作者 Li-juan Liu Qi Zhang 《Defence Technology(防务技术)》 SCIE EI CAS CSCD 2023年第7期18-32,共15页
Energy output and heating effects are essential for vapor-liquid fuel/air cloud detonation in the fuel-air explosive(FAE) applications or explosion accidents. The purpose of this study is to examine the dynamic large-... Energy output and heating effects are essential for vapor-liquid fuel/air cloud detonation in the fuel-air explosive(FAE) applications or explosion accidents. The purpose of this study is to examine the dynamic large-size flame behavior, shock wave propagation law, and instantaneous thermal field generated by unconfined vapor-liquid propylene oxide(PO)/air cloud detonation. Based on computational fluid dynamics(CFD) and combustion theory, a numerical simulation is used to study the detonation process of a PO/air cloud produced by a double-event fuel-air explosive(DEFAE) of 2.16 kg. The large-scale flame behavior is characterized. The flame initially spreads radially and laterally in a wing shape. Subsequently,the developed flame increases with a larger aspect ratio. Moreover, the propagation laws of shock waves at different heights are discussed. The peak pressure of 1.3 m height level with a stepwise decline is obviously different from that of the ground with an amplitude of reversed ’N’ shape. In the vast majority of the first 6.9 m, the destructive effect of the shock wave near the ground is greater than that of the shock wave at 1.3 m height. Furthermore, the dynamic instantaneous isothermal field is demonstrated.The scaling relationship of various isotherms in the instantaneous thermal field with the flame and initial cloud is summarized. The comprehensive numerical model used in this study can be applied to determine the overpressure and temperature distribution in the entire fuel/air cloud detonation field,providing guidance for assessing the extent of damage caused by DEFAE detonation. 展开更多
关键词 Numerical simulation Fuel-air explosive Fuel/air cloud FLAME Shock wave thermal field
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Present Geothermal Fields of the Dongpu Sag in the Bohai Bay Basin 被引量:11
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作者 ZUO Yinhui QIU Nansheng +4 位作者 HAO Qingqing ZHANG Yunxian PANG Xiongqi LI Zhongchao GAO Xia 《Acta Geologica Sinica(English Edition)》 SCIE CAS CSCD 2014年第3期915-930,共16页
The Dongpu sag is located in the south of the Bohai Bay basin,China,and has abundant oil and gas reserves.To date,there has been no systematic documentation of its geothermal fields.This study measured the rock therma... The Dongpu sag is located in the south of the Bohai Bay basin,China,and has abundant oil and gas reserves.To date,there has been no systematic documentation of its geothermal fields.This study measured the rock thermal conductivity of 324 cores from 47 wells,and calculated rock thermal conductivity for different formations.The geothermal gradient and terrestrial heat flow were calculated for 192 wells on basis of 892 formation-testing data from 523 wells.The results show that the Dongpu sag is characterized by a medium-temperature geothermal field between stable and active tectonic areas,with an average geothermal gradient of 32.0℃/km and terrestrial heat flow of 65.6 mW/m2.The geothermal fields in the Dongpu sag is significantly controlled by the Changyuan,Yellow River,and Lanliao basement faults.They developed in the Paleogene and the Dongying movement occurred at the Dongying Formation depositional period.The geothermal fields distribution has a similar characteristic to the tectonic framework of the Dongpu sag,namely two subsags,one uplift,one steep slope and one gentle slope.The oil and gas distribution is closely associated with the present geothermal fields.The work may provide constraints for reconstructing the thermal history and modeling source rock maturation evolution in the Dongpu sag. 展开更多
关键词 Dongpu sag Bohai Bay basin present geothermal field thermal conductivity terrestrialheat flow
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Sudden death of entanglement of two atoms interacting with thermal fields
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作者 罗成立 缪龙 +2 位作者 郑小兰 陈子翃 廖长庚 《Chinese Physics B》 SCIE EI CAS CSCD 2011年第8期30-38,共9页
We investigate the entanglement dynamics of two initially entangled atoms each interacting with a thermal field. We show that the two entangled atoms become completely disentangled in a finite time and that the lost i... We investigate the entanglement dynamics of two initially entangled atoms each interacting with a thermal field. We show that the two entangled atoms become completely disentangled in a finite time and that the lost information cannot return to the atomic system when the mean photon number of the thermal field exceeds a critical value (3.3584), even though the whole system is lossless. Then we study how the detuning between the atomic transition frequency and the field frequency and the disparity between two coupling rates would affect the evolution of the entanglement of the atomic system. 展开更多
关键词 entanglement sudden death thermal field ASYMMETRIC DETUNING
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The entanglement of two dipole-dipole coupled atoms interacting with a thermal field via a two-photon process
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作者 廖湘萍 方卯发 +1 位作者 蔡建武 郑小娟 《Chinese Physics B》 SCIE EI CAS CSCD 2008年第6期2137-2142,共6页
This paper studies entanglement between two dipole-dipole coupled atoms interacting with a thermal field via a two-photon process. It shows that the entanglement is dependent on the mean photon number of the thermal f... This paper studies entanglement between two dipole-dipole coupled atoms interacting with a thermal field via a two-photon process. It shows that the entanglement is dependent on the mean photon number of the thermal field and the dipole-dipole interaction. The results also show that the atom-atom entanglement through the two-photon process is larger than that through the one-photon process and a remarkable amount of entanglement between the atoms still remains at certain times even for a very highly noisy thermal field. 展开更多
关键词 ENTANGLEMENT two-photon process dipole-dipole interaction thermal field
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Initiation of vacuum breakdown and failure mechanism of the carbon nanotube during thermal field emission
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作者 蔡丹 刘列 +3 位作者 巨金川 赵雪龙 周泓宇 王潇 《Chinese Physics B》 SCIE EI CAS CSCD 2016年第4期206-213,共8页
The carbon nanotube (CNT)-based materials can be used as vacuum device cathodes. Owing to the excellent field emission properties of CNT, it has great potentials in the applications of an explosive field emission ca... The carbon nanotube (CNT)-based materials can be used as vacuum device cathodes. Owing to the excellent field emission properties of CNT, it has great potentials in the applications of an explosive field emission cathode. The falling off of CNT from the substrate, which frequently appears in experiments, restricts its application. In addition, the onset time of vacuum breakdown limits the performance of the high-power explosive-emission-cathode-based diode. In this paper, the characteristics of the CNT, electric field strength, contact resistance and the kind of substrate material are varied to study the parameter effects on the onset time of vacuum breakdown and failure mechanism of the CNT by using the finite element method. 展开更多
关键词 carbon nanotube thermal field electron emission vacuum breakdown failure mechanism
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NUMERICAL SIMULATION OF TRANSIENT THERMAL FIELD IN LASER MELTING PROCESS
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作者 姚国凤 陈光南 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2004年第8期945-950,共6页
Numerical simulation of thermal field was studied in laser processing. The 3-D finite element model of transient thermal calculation is given by thermal conductive equation. The effects of phase transformation latent ... Numerical simulation of thermal field was studied in laser processing. The 3-D finite element model of transient thermal calculation is given by thermal conductive equation. The effects of phase transformation latent are considered. Numerical example is given to verify the model. Finally the real example of transient thermal field is given. 展开更多
关键词 laser melting process thermal field numerical simulation
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Correct Path-Integral Formulation of Quantum Thermal Field Theory in Coherent State Representation
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作者 SUJun-Chen ZHENGFu-Hou 《Communications in Theoretical Physics》 SCIE CAS CSCD 2005年第4期641-656,共16页
The path-integral quantization of thermal scalar, vector, and spinor fields is performed newly in the coherent-state representation. In doing this, we choose the thermal electrodynamics and psi(4) theory as,examples. ... The path-integral quantization of thermal scalar, vector, and spinor fields is performed newly in the coherent-state representation. In doing this, we choose the thermal electrodynamics and psi(4) theory as,examples. By this quantization, correct expressions of the partition functions and the generating functionals for the quantum thermal electrodynamics and psi(4) theory are obtained in the coherent-state representation. These expressions allow us to perform analytical calculations of the partition functions and generating functionals and therefore are useful in practical applications. Especially, the perturbative expansions of the generating functionals are derived specifically by virtue of the stationary-phase method. The generating functionals formulated in the position space are re-derived from the ones given in the coherent-state representation. 展开更多
关键词 thermal fields partition function generating functional coherent-state representation
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Cornwall-Jackiw-Tomboulis Effective Potential for Quark Propagator in Real-Time Thermal Field Theory and Landau Gauge
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作者 ZHOU Bang-Rong 《Communications in Theoretical Physics》 SCIE CAS CSCD 2005年第5X期879-882,共4页
We complete the derivation of the Cornwall-Jackiw-Tomboulis effective potentiM for quark propagator at finite temperature and finite quark chemical potential in the real-time formalism of thermal field theory and in L... We complete the derivation of the Cornwall-Jackiw-Tomboulis effective potentiM for quark propagator at finite temperature and finite quark chemical potential in the real-time formalism of thermal field theory and in Landau gauge. In the approximation that the function A(p^2) in inverse quark propagator is replaced by unity, by means of the running gauge coupling and the quark mass function invariant under the renormalization group in zero temperature Quantum Chromadynamics (QCD), we obtain a calculable expression for the thermal effective potential, which will be a useful means to research chiral phase transition in QCD in the real-time formalism. 展开更多
关键词 CJT effective potential real-time thermal field theory QCD quark propagator Landau gauge
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Coherence-Enhanced Entanglement Induced by a Two-Mode Thermal Field
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作者 胡要花 方卯发 《Communications in Theoretical Physics》 SCIE CAS CSCD 2010年第9期421-426,共6页
Considering two identical two-level atoms interacting with two mode thermal field through a nondegeratetwo-photon process,we study the entanglement dynamics between two atoms when the atomic coherence exists.It showst... Considering two identical two-level atoms interacting with two mode thermal field through a nondegeratetwo-photon process,we study the entanglement dynamics between two atoms when the atomic coherence exists.It showsthat the entanglement is dependent on the initial atomic states,and is greatly enhanced due to atomic coherence ascompared with the case when the atomic coherence is ignored.The results also show that the entanglement can becontrolled by changing the relative phases and the amplitudes of the polarized atoms. 展开更多
关键词 ENTANGLEMENT COHERENCE two-mode thermal field
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Nonlinear Dynamics of Composite Microsheet with Graphene Skins in Non-uniform Thermal Field
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作者 Xiangying Guo Pan Jiang +1 位作者 Lin Sun Dongxing Cao 《Acta Mechanica Solida Sinica》 SCIE EI CSCD 2020年第5期707-718,共12页
The effects of different parameters on the nonlinear dynamic characteristics of macrofiber composite(MFC)microsheet with graphene(GP)skin under non-uniform thermal field are investigated.Firstly,the physical parameter... The effects of different parameters on the nonlinear dynamic characteristics of macrofiber composite(MFC)microsheet with graphene(GP)skin under non-uniform thermal field are investigated.Firstly,the physical parameters of the MFC–GP structure are calculated by the mixing rule,and the constitutive equations of the structure are set up by employing the Eringen theory.The nonlinear dynamic equations of the microsheet are obtained by using Hamilton’s principle.Then,the heat conduction equations of the microsheet are considered,adopting Green and Naghdi’s generalized thermoelasticity theory.According to the Galerkin weighted residual method,the thermoelasticity coupling equations of the structure are obtained.Meanwhile,the influence of the positive piezoelectric effect of GP and MFC on the vibration response of the structure is also investigated.The nonlinear dynamic governing equations including displacement,coupled thermoelasticity,and electricity field are discretized by the Galerkin method.The effects of non-local parameter,volume fraction of GP,and thermal and electricity coupling coefficients on structural dynamic behavior are discussed in the numerical simulation. 展开更多
关键词 MFC-GP microsheet Non-uniform thermal field Nonlocal parameter Nonlinear dynamic responses
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Finite-time disentanglement induced by single-mode thermal field
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作者 韩峰 夏云杰 《Chinese Physics B》 SCIE EI CAS CSCD 2009年第12期5144-5148,共5页
In this paper, we study the entanglement dynamics of atoms locally coupled to a cavity field. By studying two different models within the framework of cavity QED, we show that the so-called atomic entanglement sudden ... In this paper, we study the entanglement dynamics of atoms locally coupled to a cavity field. By studying two different models within the framework of cavity QED, we show that the so-called atomic entanglement sudden death always occurs if initially the cavity field is in the thermal state, in clear contrast with that in the vacuum state where the same entanglement decay is in infinite time. 展开更多
关键词 entanglement sudden death thermal fields
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Explicit Proof of Equivalence of Two—Point Functions in the Two Formalisms of Thermal Field Theory
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作者 ZHOUBang-Rong 《Communications in Theoretical Physics》 SCIE CAS CSCD 2002年第1期49-54,共6页
We give an explicit proof of equivalence of the two-point function to one-loop order in the two formalisms of thermal theory based on the expressions in the real-time formalism and indicate that the key point of comp... We give an explicit proof of equivalence of the two-point function to one-loop order in the two formalisms of thermal theory based on the expressions in the real-time formalism and indicate that the key point of completing the proof is to separate carefully the imaginary part of the zero-temperature loop integral from relevant expressions and this fact will certainly be very useful for examination of the equivalent problem of two formalisms of thermal field theory in other theories, including the one of the propagators for scalar bound states in an NJL model. 展开更多
关键词 two-point function thermal field theory equivalence of the imaginary-time and real-time formalisms imaginary part of zero-temperature loop
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