论文标题
与对称性破裂的物质宏观动力学的微观方法
Microscopic approach to the macrodynamics of matter with broken symmetries
论文作者
论文摘要
通过基于局部平衡分布的统计机械方法的概括来得出一组统一的流体动力方程，这些统一的物质凝结阶段具有破裂的连续对称性。当前密度的耗散和耗散部分以及熵产生是在这种方法中系统地推断出的，通过扩大大型田间梯度的能力。对于所有运输系数，获得了绿色kubo公式。结果既适用于结晶固体和液晶。研究了微可逆性和空间对称性的后果，从而预测了由Onsager-Casimir相互关系引起的交叉效应。
A unified set of hydrodynamic equations describing condensed phases of matter with broken continuous symmetries is derived using a generalization of the statistical-mechanical approach based on the local equilibrium distribution. The dissipativeless and dissipative parts of the current densities and the entropy production are systematically deduced in this approach by expanding in powers of the gradients of the macrofields. Green-Kubo formulas are obtained for all the transport coefficients. The results apply to both crystalline solids and liquid crystals. The consequences of microreversibility and spatial symmetries are investigated, leading to the prediction of cross effects resulting from Onsager-Casimir reciprocal relations.
