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Investigation of proton structure function F_(2)^(p)at HERA in light of an analytical solution to the Balitsky–Kovchegov equation
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作者 Ranjan Saikia Pragyan Phukan Jayanta Kumar Sarma 《Communications in Theoretical Physics》 SCIE CAS CSCD 2024年第3期120-126,共7页
In this paper,the proton structure function F_(2)^(p)(x,Q^(2))at small-x is investigated using an analytical solution to the Balitsky–Kovchegov(BK)equation.In the context of the color dipole description of deep inela... In this paper,the proton structure function F_(2)^(p)(x,Q^(2))at small-x is investigated using an analytical solution to the Balitsky–Kovchegov(BK)equation.In the context of the color dipole description of deep inelastic scattering(DIS),the structure function F_(2)^(p)(x,Q^(2))is computed by applying the analytical expression for the scattering amplitude N(k,Y)derived from the BK solution.At transverse momentum k and total rapidity Y,the scattering amplitude N(k,Y)represents the propagation of the quark-antiquark dipole in the color dipole description of DIS.Using the BK solution we extracted the integrated gluon density xg(x,Q^(2))and then compared our theoretical estimation with the LHAPDF global data fits,NNPDF3.1sx and CT18.Finally,we have investigated the behavior of F_(2)^(p)(x,Q^(2))in the kinematic region of 10^(-5)≤x≤10^(-2)and 2.5 GeV^(2)≤Q^(2)≤60 GeV^(2).Our predicted results for F_(2)^(p)(x,Q^(2))within the specified kinematic region are in good agreement with the recent high-precision data for F_(2)^(p)(x,Q^(2))from HERA(H1 Collaboration)and the LHAPDF global parametrization group NNPDF3.1sx. 展开更多
关键词 quantum chromodynamics(QCD) perturbative QCD(pQCD) proton structure function SMALL-X Balitsky-Kovchegov equation
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Evaluation of thermal resistance constitution for packaged AlGaN/GaN high electron mobility transistors by structure function method 被引量:7
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作者 张光沉 冯士维 +2 位作者 周舟 李静婉 郭春生 《Chinese Physics B》 SCIE EI CAS CSCD 2011年第2期434-439,共6页
The evaluation of thermal resistance constitution for packaged A1GaN/GaN high electron mobility transistor (HEMT) by structure function method is proposed in this paper. The evaluation is based on the transient heat... The evaluation of thermal resistance constitution for packaged A1GaN/GaN high electron mobility transistor (HEMT) by structure function method is proposed in this paper. The evaluation is based on the transient heating measurement of the A1GaN/GaN HEMT by pulsed electrical temperature sensitive parameter method. The extracted chip-level and package-level thermal resistances of the packaged multi-finger A1GaN/GaN HEMT with 400μm SiC substrate are 22.5 K/W and 7.2 K/W respectively, which provides a non-invasive method to evaluate the chip-level thermal resistance of packaged A1GaN/GaN HEMTs. It is also experimentally proved that the extraction of the chip- level thermal resistance by this proposed method is not influenced by package form of the tested device and temperature boundary condition of measurement stage. 展开更多
关键词 high electron mobility transistor self-heating effect structure function RELIABILITY
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Corrections to the scaling of the second-order structure function in isotropic turbulence 被引量:6
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作者 Le Fang Wouter J. T. Bos +2 位作者 Xiaozhou Zhou Liang Shao Jean-Pierre Bertoglio 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2010年第2期151-157,共7页
The approach of Obukhov assuming a constant skewness was used to obtain analytical corrections to the scaling of the second order structure function, starting from Kolmogorov's 4/5 law. These corrections can be used ... The approach of Obukhov assuming a constant skewness was used to obtain analytical corrections to the scaling of the second order structure function, starting from Kolmogorov's 4/5 law. These corrections can be used in model applications in which explicit expressions, rather than numerical solutions are needed. The comparison with an interpolation formula proposed by Batchelor, showed that the latter gives surprisingly precise results. The modification of the same method to obtain analytical corrections to the scaling law, taking into account the possible corrections induced by intermittency, is also proposed. 展开更多
关键词 Scaling law · structure function ·Isotropic turbulence
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MULTI-SCALE COHERENT STRUCTURES IN TURBULENT BOUNDARY LAYER DETECTED BY LOCALLY AVERAGED VELOCITY STRUCTURE FUNCTIONS 被引量:1
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作者 刘建华 姜楠 +1 位作者 王振东 舒玮 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2005年第4期495-504,共10页
The time sequence of longitudinal velocity component at different vertical locations in turbulent boundary layer was finely measured in a wind tunnel. The concept of coarse_grained velocity structure functions, which ... The time sequence of longitudinal velocity component at different vertical locations in turbulent boundary layer was finely measured in a wind tunnel. The concept of coarse_grained velocity structure functions, which describes the relative motions of straining and compressing for multi_scale eddy structures in turbulent flows, was put forward based on the theory of locally multi_scale average. Based on the consistency between coarse_grained velocity structure function and Harr wavelet transformation,detecting method was presented, by which the coherent structures and their intermittency was identified by multi_scale flatness factor calculated by locally average structure function. Phase_averaged evolution course for multi_scale coherent eddy structures in wall turbulence were extracted by this conditional sampling to educe scheme. The dynamics course of multi_scale coherent eddy structures and their effects on statistics of turbulent flows were studied. 展开更多
关键词 turbulent boundary layer coherent structure flatness factor intermittency locally averaged velocity structure function
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A multifractal model for linking Lagrangian and Eulerian velocity structure functions 被引量:1
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作者 Yu-Feng Dong Guo-Dong Jin 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2014年第4期480-484,共5页
A multifractal model is developed to connect the Lagrangian multifractal dimensions with their Eulerian counterparts. We propose that the characteristic time scale of a Lagrangian quantity should be the Lagrangian tim... A multifractal model is developed to connect the Lagrangian multifractal dimensions with their Eulerian counterparts. We propose that the characteristic time scale of a Lagrangian quantity should be the Lagrangian time scale, and it should not be the Eulerian time scale which was widely used in previous studies on Lagrangian statistics. Using the present model, we can obtain the scaling exponents of Lagrangian velocity structure functions from the existing data or models of scaling exponents of Eulerian velocity structure functions. This model is validated by comparing its prediction with the results of experiments, direct numerical simulations, and the previous theoretical models. The comparison shows that the proposed model can better predict the scaling exponents of Lagrangian velocity structure functions, especially for orders larger than 6. 展开更多
关键词 Lagrangian multifractal - Eulerian multifractal -Intermittency . Velocity structure functions
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A Lower Bound on Longitudinal Structure Function at Small x from a Self-Similarity Based Model of Proton
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作者 Akbari Jahan D.K.Choudhury 《Communications in Theoretical Physics》 SCIE CAS CSCD 2014年第5期654-658,共5页
Self-similarity based model of proton structure function at small x was reported in the literature sometime back. The phenomenological validity of the model is in the kinematical region 6.2 × 10-7 ≤ x ≤ 10-2 an... Self-similarity based model of proton structure function at small x was reported in the literature sometime back. The phenomenological validity of the model is in the kinematical region 6.2 × 10-7 ≤ x ≤ 10-2 and 0.045 ≤ Q2 ≤ 120 GeV2. We use momentum sum rule to pin down the corresponding self-similarity-based gluon distribution function valid in the same kinematical region. The model is then used to compute bound on the longitudinal structure function FL(X, Q2) for A1tarelli-Martinelli equation in QCD and is compared with the recent HERA data. 展开更多
关键词 SELF-SIMILARITY small x longitudinal structure function QCD
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Extraction of Structure Function and Gluon Distribution Function at Low-x from Cross Section Derivative by Regge Behavior
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作者 G.R.Boroun 《Communications in Theoretical Physics》 SCIE CAS CSCD 2005年第2期283-286,共4页
An approximation method based on Regge behavior is presented. This new methodrelates the reduced cross section derivative and the structure function Regge behavior at low x.With the use of this approximation method, t... An approximation method based on Regge behavior is presented. This new methodrelates the reduced cross section derivative and the structure function Regge behavior at low x.With the use of this approximation method, the C and λ parameters are calcuiated from the HERAreduced cross section data taken at low-x. Also, we calculate the structure functions F_2(x, Q~2)even for low-x values, which have not been investigated. To test the validity of calculatedstructure functions, we find the gluon distribution function in the Leading order approximationbased on Regge behaviour of structure function and compare to the NLO QCD fit to H1 data and NLOparton distribution function. 展开更多
关键词 regge behavior cross section gluon distribution structure function
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Longitudinal Structure Function FL from Charm Structure Function F2^c
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作者 B. Rezaei G.R. Boroun 《Communications in Theoretical Physics》 SCIE CAS CSCD 2013年第4期462-466,共5页
We predict the effect of the charm structure function on the longitudinal structure function at small x. In NLO analysis we find that the hard Pomeron behavior gives a good description of FL and Fk^c (k = 2, L) at s... We predict the effect of the charm structure function on the longitudinal structure function at small x. In NLO analysis we find that the hard Pomeron behavior gives a good description of FL and Fk^c (k = 2, L) at small x values. We conclude that a direct relation between FL∝ F2^c would provide useful information on how to measure longitudinal structure function at high 0,2 values. Having checked that this model gives a good description of the data, when compared with other models. 展开更多
关键词 charm structure function gluon distribution quantum chromodynamics SMALL-X
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Effects of QCD Vacuum and the Instanton Induced-Contributions to the Nucleon Structure Functions
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作者 A. Mirjalili M. Dehghani M.M. Yazdanpanah 《Communications in Theoretical Physics》 SCIE CAS CSCD 2013年第2期179-186,共8页
The instanton induced cross section in deep inelastic kinematics is a subject which people are tendentious to investigate it. Instanton induced contributions are well defined for the nucleon structure function. The no... The instanton induced cross section in deep inelastic kinematics is a subject which people are tendentious to investigate it. Instanton induced contributions are well defined for the nucleon structure function. The non-perturbative contribution to the quark distributions of structure function, F2(x, Q2), is considered within an instanton model for the QCD vacuum. We find that the structure function may possess numerically large non-perterbative contributions which are related to the violation of chirality and correspond to the correction of parton distribution of the leading twist. It is shown that the instantons give a negative contribution to the structure function at the NLO approximation. A comparison between our results, considering instantaon effect, and the case when we do not take this effect is done. Taking into account the instanton size, p, via the modified running coupling constant we get to a good agreement between our results at the NLO and NNLO approximations and the available experimental data, specially at the low values of the Bjorken variable x 〈 0.1 which confirms the validity of our calculations. 展开更多
关键词 effective Lagrangian instanton effects quark chirality flipping nucleon structure function
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Nucleon Spin Structure Functions in the Resonance Region and the Duality
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作者 DongYu-Bing FENGQing-Guo 《Communications in Theoretical Physics》 SCIE CAS CSCD 2003年第6期675-680,共6页
We discuss the nucleon spin structure function g<SUB>1</SUB> and the difference between the proton and neutron targets , based on quark model calculation. Quark-hadron duality for the nucleon spin structur... We discuss the nucleon spin structure function g<SUB>1</SUB> and the difference between the proton and neutron targets , based on quark model calculation. Quark-hadron duality for the nucleon spin structure function is also analyzed. Effects of the Δ(1232) and Roper P<SUB>11</SUB>(1440) resonances on the spin structure function and on the difference are mentioned. The results of different models for the Roper resonance are also addressed. 展开更多
关键词 constituent quark model quark-hadron duality nucleon spin structure function Roper resonance
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Nucleon Structure Function F2 in the Resonance Region and Quark-Hadron Duality
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作者 DONGYu-Bing LIMing-Fei 《Communications in Theoretical Physics》 SCIE CAS CSCD 2003年第2期193-196,共4页
Based on a simple nonrelativistic constituent quark model, the nucleon structure function F<SUB>2</SUB> in the resonance region is estimated by taking the contributions from low-lying nucleon resonances in... Based on a simple nonrelativistic constituent quark model, the nucleon structure function F<SUB>2</SUB> in the resonance region is estimated by taking the contributions from low-lying nucleon resonances into account. Calculated results are employed to study quark-hardon duality in the nucleon electron scattering process by comparing them to the scaling behavior from the data in deep inelastic scattering region. 展开更多
关键词 quark model quark-hadron duality structure functions
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Global expressions for high-order structure functions in Burgers turbulence
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作者 Jin-Han Xie 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2022年第5期20-26,I0001,共8页
Since the famous work by Kolmogorov on incompressible turbulence,the structure-function theory has been a key foundation of modern turbulence study.Due to the simplicity of Burgers turbulence,structure functions are c... Since the famous work by Kolmogorov on incompressible turbulence,the structure-function theory has been a key foundation of modern turbulence study.Due to the simplicity of Burgers turbulence,structure functions are calculated to arbitrary orders,which provides numerous implications for other compressible turbulent systems.We present the derivation of exact forcing-scale resolving expressions for high-order structure functions of the burgers turbulence.Compared with the previous theories,where the structure functions are calculated in the inertial range based on the statistics of shocks,our expressions link high-order structure functions in different orders without extra information on the flow structure and are valid beyond the inertial range,therefore they are easily checked by numerical simulations. 展开更多
关键词 structure function Burgers turbulence Turbulence theory
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Study of Nucleon Unpolarized Structure Functions
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作者 DONG Yu-Bing 《Communications in Theoretical Physics》 SCIE CAS CSCD 2008年第3期725-728,共4页
Nucleon unpolarized structure functions in the ep elastic scattering are discussed. A new unpolarized structure function F^-3 due to the two-photon-exchange is given. Numerical results of the new structure function in... Nucleon unpolarized structure functions in the ep elastic scattering are discussed. A new unpolarized structure function F^-3 due to the two-photon-exchange is given. Numerical results of the new structure function in the limit of x →1 are displayed. 展开更多
关键词 ep elastic scattering two-photon-exchange structure functions
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Longitudinal and transverse structure functions in decaying nearly homogeneous and isotropic turbulence
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作者 Imtiaz Ahmad 卢志明 刘宇陆 《Chinese Physics B》 SCIE EI CAS CSCD 2014年第1期272-278,共7页
Streamwise evolution of longitudinal and transverse velocity structure functions in a decaying homogeneous and nearly isotropic turbulence is reported for Reynolds numbers Reλ up to 720. First, two theoretical relati... Streamwise evolution of longitudinal and transverse velocity structure functions in a decaying homogeneous and nearly isotropic turbulence is reported for Reynolds numbers Reλ up to 720. First, two theoretical relations between longitudinal and transverse structure functions are examined in the light of recently derived relations and the results show that the low-order transverse structure functions can be well approximated by longitudinal ones within the sub-inertial range. Reconstruction of fourth-order transverse structure functions with a recently proposed relation by Grauer et al. is comparatively less valid than the relation already proposed by Antonia et al. Secondly, extended self-similarity methods are used to measure the scaling exponents up to order eight and the streamwise evolution of scaling exponents is explored. The scaling exponents of longitudinal structure functions are, at first location, close to Zybin's model, and at the fourth location, close to She–Leveque model. No obvious trend is found for the streamwise evolution of longitudinal scaling exponents, whereas, on the contrary, transverse scaling exponents become slightly smaller with the development of a steamwise direction. Finally, the stremwise variation of the order-dependent isotropy ratio indicates the turbulence at the last location is closer to isotropic than the other three locations. 展开更多
关键词 fully developed turbulence longitudinal and transverse structure functions scaling exponents intermittency
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Bloom-Gilman Duality of Nucleon Spin Structure Function and Elastic Peak Contribution
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作者 DONGYu-Bing 《Communications in Theoretical Physics》 SCIE CAS CSCD 2005年第4期695-698,共4页
By employing the parametrization form of the nucleon spin structure functionin the resonance region, which includes the contributions of the resonance peaks and of nonresonancebackground, we study Bloom—Oilman quark-... By employing the parametrization form of the nucleon spin structure functionin the resonance region, which includes the contributions of the resonance peaks and of nonresonancebackground, we study Bloom—Oilman quark-hadron duality of g_1 both in the inelastic resonanceregion and elastic one. 展开更多
关键词 Bloom-Gilman quark-hadron duality nucleon spin structure functions PARAMETRIZATION
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A closure model on velocity structure functions in homogeneous isotropic turbulence
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作者 Le FANG Feng GAO 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2017年第11期1627-1634,共8页
Closure models started from Chou's work have been developed for more than 70 years, aiming at providing analytical tools to describe turbulent flows in the spectral space. In this study, a preliminary attempt is pres... Closure models started from Chou's work have been developed for more than 70 years, aiming at providing analytical tools to describe turbulent flows in the spectral space. In this study, a preliminary attempt is presented to introduce a closure model in the physical space, using the velocity structure functions as key parameters. The present closure model appears to qualitatively reproduce the asymptotic scaling behav- iors at small and large scales, despite some inappropriate behaviors such as oscillations. Therefore, further improvements of the present model are expected to provide appropriate descriptions of turbulent flows in the physical space. 展开更多
关键词 homogeneous isotropic turbulence closure model structure function
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Structure function analysis of RISS and model-fitting to J1128+5925
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作者 Bin Liu Bo Peng Li-Jia Liu 《Research in Astronomy and Astrophysics》 SCIE CAS CSCD 2015年第1期37-44,共8页
There has been great progress recently in the study of radio variability, including the phenomenon of intraday variability(IDV) which occurs on short timescales of 50 h or less. There are two common explanations for... There has been great progress recently in the study of radio variability, including the phenomenon of intraday variability(IDV) which occurs on short timescales of 50 h or less. There are two common explanations for IDV: an intrinsic mechanism or the effect of radio propagation through the interstellar medium. We consider the case of refractive interstellar scintillation(RISS), an extrinsic cause of radio variability. We theoretically derive the structure function of the ‘thick screen’RISS model by using an approximation method, and discuss its application to the IDV phenomenon with some simulated results. Finally, the IDV source J1128+5925 is fitted with the ‘thin screen’ RISS model. Some possible combinations of parameters, namely source size, distance and relative velocity of the scattering screen, are presented. 展开更多
关键词 radio variable source refractive scintillation structure function IDV
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Experimental researches for scaling laws of low-order structure function in boundary layer
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作者 张珂 李万平 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2010年第6期806-811,共6页
Scaling laws are addressed by analysing moments of velocity increments which obtained by Particle-image Velocimetry(PIV)system in the boundary layer of a flat plate.In the paper,we measure the moments of increments of... Scaling laws are addressed by analysing moments of velocity increments which obtained by Particle-image Velocimetry(PIV)system in the boundary layer of a flat plate.In the paper,we measure the moments of increments of upstream velocity(u'),longitudinal velocity(v')and ponderance of vorticity(dv'/dx)at Reθ=2167 in different wall distance and verify the anomaly of the scaling exponents of high-order structure functions with the increasing order of the moments,discuss the scaling of non-integer moments of order between+2 and-1.The difference of scaling exponents of low-order structure functions between the experimental data and Kolmogorov's,SL's(She & Leveque)prediction increases as the moment order decreases toward-1,which shows that the anomaly is manifested in low-oeder moments as well.However,for same order structure functions,the scaling exponents of v' and dv'/dx are not changeable in different wall distance. 展开更多
关键词 scaling law low-order structure function turbulent boundary layer scaling exponent
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Analysis of the Longitudinal Structure Function F_L from the Non-linear Regge Gluon Density Behavior at Low-x
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作者 BOROUN G.R. REZAEI B. 《Chinese Physics Letters》 SCIE CAS CSCD 2015年第11期18-21,共4页
The longitudinal structure function with shadowing correction according to the nonlinear effects of the gluon density behavior at low x is considered. The solution of the GLR-MQ evolution equation for the gluon densit... The longitudinal structure function with shadowing correction according to the nonlinear effects of the gluon density behavior at low x is considered. The solution of the GLR-MQ evolution equation for the gluon density shows that the FL^g(x, Q2) behavior can be tamed by the singularity at low x values. Comparing our results with H1 data at R=4 GeV-1 shows that at very low x this behavior is completely tamed by taking shadowing correction into account. 展开更多
关键词 Analysis of the Longitudinal structure function F_L from the Non-linear Regge Gluon Density Behavior at Low-x
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The First Sharp Diffraction Peak in the Total Structure Function of Amorphous Chalcogenide Glasses: Anomalous Characteristics and Controversial Views
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作者 Moneeb T. M. Shatnawi 《New Journal of Glass and Ceramics》 2016年第3期37-46,共11页
Anomalous structural characteristics of the so-called first sharp diffraction peak (FSDP) that arises in the total static structure functions of network-forming glasses and liquids at around 1-2 A<sup>-1<... Anomalous structural characteristics of the so-called first sharp diffraction peak (FSDP) that arises in the total static structure functions of network-forming glasses and liquids at around 1-2 A<sup>-1</sup> have been reviewed and discussed in details. Unlike other peaks in the static structure functions, the FSDP has anomalous dependencies on temperature, pressure and composition. Despite the fact that the FSDP is considered as a signature of intermediate range order (IRO) in network-forming glasses and liquids, its structural origin remains unclear and till now, it forms a subject of debate. A brief account for some anomalous characteristics of the FSDP followed by the different controversial interpretations about its structural origin has been reviewed and discussed. Some of the interpretations that seem to be inconsistent with recent experimental results have been ruled out. The most likely structural origins for the occurrence of the FSDP have been highlighted and discussed in details. 展开更多
关键词 First Sharp Diffraction Peak (FSDP) Intermediate-Range Order (IRO) Amorphous Chalcogenide Glasses Static structure function DIFFRACTION
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