局域多阱势量子晶格模型的慢弛豫时间和快弛豫时间：Sn $_{2}$ P $_{2}$ S $_{6}$铁电晶体的唯象动力学
Slow and fast relaxation times of quantum lattice model with local multi-well potentials: phenomenological dynamics for Sn$_{2}$P$_{2}$S$_{6}$ ferroelectric crystals
摘要：
作为以前发表的工作的延续[Velychko O.五、斯塔修克岛五、Phase Transitions，2019，92，420]，给出了Sn $_{2}$ P $_{2}$ S $_{6}$铁电晶格形变情况下多阱势量子晶格模型弛豫动力学的唯象框架.该框架是基于统计平衡理论和不可逆热力学的结合。为了研究这些动力学在一个连接的方式，我们假设的偶极子排序或极化（$η$）和体积变形（$u$）可以被视为通量和力的意义上的Onsager理论。从力与通量的线性关系出发，导出了速率方程，并用两个弛豫时间（$τ_{S}, τ_{F}$）表征，描述了平衡态附近的不可逆过程。研究了$τ_{S}$和$τ_{F}$在铁电相变附近的行为。
英文摘要：
As a continuation of the previously published work [Velychko O. V., Stasyuk I. V., Phase Transitions, 2019, 92, 420], a phenomenological framework for the relaxation dynamics of quantum lattice model with multi-well potentials is given in the case of deformed Sn$_{2}$P$_{2}$S$_{6}$ ferroelectric lattice. The framework is based on the combination of statistical equilibrium theory and irreversible thermodynamics. In order to study these dynamics in a connected way we assume that the dipole ordering or polarization ($η$) and volume deformation ($u$) can be treated as fluxes and forces in the sense of Onsager theory. From the linear relations between the forces and fluxes, the rate equations are derived and characterized by two relaxation times ($τ_{S}, τ_{F}$) which describe the irreversible process near the equilibrium states. The behaviors of $τ_{S}$ and $τ_{F}$ in the vicinity of ferroelectric phase transitions are studied.
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