A mobile Coulomb gas permeating a fixed background crystalline lattice of charged colloidal crystals is subject to an electrostatic-elastic coupling,which we study on the continuum level by introducing a minimal coupl...A mobile Coulomb gas permeating a fixed background crystalline lattice of charged colloidal crystals is subject to an electrostatic-elastic coupling,which we study on the continuum level by introducing a minimal coupling between electrostatic and displacement fields.We derive linearized,Debye–Hückel-like mean-field equations that can be analytically solved,incorporating the minimal coupling between electrostatic and displacement fields leading to an additional effective attractive interaction between mobile charges that depends in general on the strength of the coupling between the electrostatic and displacement fields.By analyzing the Gaussian fluctuations around the mean-field solution we also identify and quantify the region of its stability in terms of the electrostatic-elastic screening length.This detailed continuum theory incorporating the standard lattice elasticity and electrostatics of mobile charges provides a baseline to investigate the electrostatic-elastic coupling for microscopic models in colloid science and materials science.展开更多
The behavior of liquids undergoing phase transition in the gravitational field is studied by considering the generalized Van der Waals equation. Considering the two simple models for liquid-vapor boundary of a pure cl...The behavior of liquids undergoing phase transition in the gravitational field is studied by considering the generalized Van der Waals equation. Considering the two simple models for liquid-vapor boundary of a pure classical fluid, the generalized Van der Waals equation shows how the three critical parameters (critical temperature, critical volume and critical pressure), suffice to describe the reduced state parameters (reduced temperature, reduced volume and reduced pressure), the concentration profile and the liquid-vapor boundary position, which can be used to observe transition phenomenon. This model shows how the form of the equation can influence the vertical phase separation induced by the stationary gravitational field, and on the gas condensation effects.展开更多
A multi-relaxation-time discrete Boltzmann model for compressible non-ideal gases with adjustable specific heat ratio is proposed,and the impact of surface tension on Rayleigh-Taylor instability(RTI)is investigated fr...A multi-relaxation-time discrete Boltzmann model for compressible non-ideal gases with adjustable specific heat ratio is proposed,and the impact of surface tension on Rayleigh-Taylor instability(RTI)is investigated from two perspectives:macroscopic and non-equilibrium characteristics.In terms of physical cognition,(1)it is found that there are two critical surface tensions:the upper critical value and the lower critical value.When the surface tension is below the lower critical value,the RTI evolution aligns qualitatively with the case without surface tension.As the surface tension coefficient increases,the inhibitory effect on RTI evolution gradually strengthens.When the surface tension is greater than the upper critical value,the disturbance interface tends to be stable after multiple oscillations.When the surface tension is in between,the perturbation interface first reverses,or even multiple reverses,and then destabilizes and develops rapidly.(2)A series of new kinetic behavior characteristics are given,and it is found that some behavior characteristics have important reference value for the control of system behavior.For example,the first peak in the growth rate of the global average non-organized momentum flux strength D_(2)corresponds to the onset of the regular nonlinear stage.The peak in the growth rate of the global average non-organized energy flux strength D_(3,1)marks the beginning of the re-acceleration stage.The onset of the uniform acceleration stage in the growth rate of the global average nonequilibrium strength D_(T NE)corresponds to the system transitioning into the regular nonlinear stage,while its terminal point(also the peak)corresponds to the system entering the re-acceleration stage.These insights enhance understanding of RTI mechanisms in complex fluids kinetically.展开更多
基金HW is partially supported by the open research fund of Songshan Lake Materials Laboratory No.2023SLABFN20the General Program of National Natural Science Foundation of China(NSFC)under Grant No.12374210+2 种基金the startup fund under Grant No.WIUCASQD2022005 from Wenzhou Institute University of Chinese Academy of Sciences(WIU-CAS)Z-CO-Y was supported by the Major Program of the NSFC under Grant No.22193032RP acknowledges the support of UCAS and funding from the Key Program of NSFC under Grant No.12034019.
文摘A mobile Coulomb gas permeating a fixed background crystalline lattice of charged colloidal crystals is subject to an electrostatic-elastic coupling,which we study on the continuum level by introducing a minimal coupling between electrostatic and displacement fields.We derive linearized,Debye–Hückel-like mean-field equations that can be analytically solved,incorporating the minimal coupling between electrostatic and displacement fields leading to an additional effective attractive interaction between mobile charges that depends in general on the strength of the coupling between the electrostatic and displacement fields.By analyzing the Gaussian fluctuations around the mean-field solution we also identify and quantify the region of its stability in terms of the electrostatic-elastic screening length.This detailed continuum theory incorporating the standard lattice elasticity and electrostatics of mobile charges provides a baseline to investigate the electrostatic-elastic coupling for microscopic models in colloid science and materials science.
文摘The behavior of liquids undergoing phase transition in the gravitational field is studied by considering the generalized Van der Waals equation. Considering the two simple models for liquid-vapor boundary of a pure classical fluid, the generalized Van der Waals equation shows how the three critical parameters (critical temperature, critical volume and critical pressure), suffice to describe the reduced state parameters (reduced temperature, reduced volume and reduced pressure), the concentration profile and the liquid-vapor boundary position, which can be used to observe transition phenomenon. This model shows how the form of the equation can influence the vertical phase separation induced by the stationary gravitational field, and on the gas condensation effects.
基金supported by the National Natural Science Foundation of China(Grant Nos.11875001,and 12172061)the Shandong Province Higher Educational Youth Innovation Science and Technology Program(Grant No.2019KJJ009)+6 种基金the Natural Science Foundation of Shandong Province(Grant Nos.ZR2020MA061,and ZR2022MA075)the Foundation of National Key Laboratory of Shock Wave and Detonation Physics(Grant No.JCKYS2023212003)the opening project of State Key Laboratory of Explosion Science and Technology(Beijing Institute of Technology)(Grant No.KFJJ2023-02M)the Hebei Outstanding Youth Science Foundation(Grant No.A2023409003)the Central Guidance on Local Science and Technology Development Fund of Hebei Province(Grant No.226Z7601G)the 2023 Computational Physics Key Laboratory Youth Fund Sponsored Project(Grant No.6142A05QN23001)the science foundation of NCIAE(Grant No.GFCXJJ-2023-01)。
文摘A multi-relaxation-time discrete Boltzmann model for compressible non-ideal gases with adjustable specific heat ratio is proposed,and the impact of surface tension on Rayleigh-Taylor instability(RTI)is investigated from two perspectives:macroscopic and non-equilibrium characteristics.In terms of physical cognition,(1)it is found that there are two critical surface tensions:the upper critical value and the lower critical value.When the surface tension is below the lower critical value,the RTI evolution aligns qualitatively with the case without surface tension.As the surface tension coefficient increases,the inhibitory effect on RTI evolution gradually strengthens.When the surface tension is greater than the upper critical value,the disturbance interface tends to be stable after multiple oscillations.When the surface tension is in between,the perturbation interface first reverses,or even multiple reverses,and then destabilizes and develops rapidly.(2)A series of new kinetic behavior characteristics are given,and it is found that some behavior characteristics have important reference value for the control of system behavior.For example,the first peak in the growth rate of the global average non-organized momentum flux strength D_(2)corresponds to the onset of the regular nonlinear stage.The peak in the growth rate of the global average non-organized energy flux strength D_(3,1)marks the beginning of the re-acceleration stage.The onset of the uniform acceleration stage in the growth rate of the global average nonequilibrium strength D_(T NE)corresponds to the system transitioning into the regular nonlinear stage,while its terminal point(also the peak)corresponds to the system entering the re-acceleration stage.These insights enhance understanding of RTI mechanisms in complex fluids kinetically.
