破缺对称性物质宏观动力学的微观途径
Microscopic approach to the macrodynamics of matter with broken symmetries
摘要：
利用基于局部平衡分布的热力学-力学方法的推广，导出了描述连续对称性被破坏的物质凝聚相的统一流体力学方程组。通过对宏观场梯度的幂次展开，系统地推导了电流密度和熵产生的无耗散和耗散部分。格林-久保公式得到的所有输运系数。结果适用于结晶固体和液晶。微观可逆性和空间对称性的后果进行了研究，导致预测的交叉效应所造成的Onsager-Casimir互惠关系。
英文摘要：
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.
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