Stochastic order parameter dynamics for phase coexistence in heat conduction
Stochastic order parameter dynamics for phase coexistence in heat conduction
复制标题
热传导中相共存的随机序参数动力学
DOI：
10.1103/physreve.103.062129
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发表时间：
2021
影响因子：
2.4
通讯作者：
Nakayama Yohei
中科院分区：
文献类型：
--
作者：
Sasa Shin-ichi;Nakagawa Naoko;Itami Masato;Nakayama Yohei
本文提出了一个描述稳态热传导过程中相共存的随机序参量模型。通过分析具有非平衡绝热边界条件的随机动力学，其中总能量随时间守恒，我们推导出一个变分原理，确定非平衡稳态的热力学性质。由此产生的变分原理表明，当有序区域的热导率小于（大于）无序区域的热导率时，有序区域和无序区域之间的界面温度变得大于（小于）线性响应区域中的平衡转变温度。这意味着过热有序（过冷无序）状态出现在界面附近，这是由Nakagawa和Sasa [Liquid-Gas Transitions in Steady Heat Conduction，Phys. Rev. Lett. 119，260602（2017）PRLTAO0031-900710.1103/PhysRevLett.119.260602。]
We propose a stochastic order parameter model for describing phase coexistence in steady heat conduction near equilibrium. By analyzing the stochastic dynamics with a nonequilibrium adiabatic boundary condition, where total energy is conserved over time, we derive a variational principle that determines thermodynamic properties in nonequilibrium steady states. The resulting variational principle indicates that the temperature of the interface between the ordered region and the disordered region becomes greater (less) than the equilibrium transition temperature in the linear response regime when the thermal conductivity in the ordered region is less (greater) than that in the disordered region. This means that a superheated ordered (supercooled disordered) state appears near the interface, which was predicted by an extended framework of thermodynamics proposed in Nakagawa and Sasa [Liquid-Gas Transitions in Steady Heat Conduction, Phys. Rev. Lett. 119, 260602 (2017)PRLTAO0031-900710.1103/PhysRevLett.119.260602.]