AI 中文总结
研究一般时空非平衡下成对相互作用多体系统的过阻尼布朗动力学，提出变分方案，通过联合自由功率最小化原理确定相关物理量，内在自由功率泛函分熵率与能量率，源于通用熵超功率泛函，由两个连续性方程完善动力学描述。
AI 中文摘要
我们提出了一种形式上精确的变分方案，用于一般时空非平衡状态下成对相互作用多体系统的过阻尼布朗动力学。联合自由功率最小化原理瞬时确定单体电流和全局粒子间距离通量。内在自由功率泛函分为熵率和能量率，后者被明确处理。熵率的绝热贡献是平衡熵元密度泛函的时间导数。真正的非平衡效应源于通用熵超功率泛函。两个连续性方程完善了动力学描述。
英文摘要
We present a formally exact variational scheme for the overdamped Brownian dynamics of pairwise interacting many-body systems in general spatiotemporal nonequilibrium. A joint free power minimization principle determines instantaneously the one-body current and the global interparticle distance flux. The intrinsic free power functional splits into entropic and energetic rates, where the latter are treated explicitly. The adiabatic contribution to the entropy rate is the time derivative of the equilibrium entropy metadensity functional. Genuine nonequilibrium effects originate from a universal entropy superpower functional. Two continuity equations close the dynamical description.
Comments7 pages
