Microscopic approach to the macrodynamics of matter with broken symmetries

Abstract

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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Cited by in corpus (9)

• Nonequilibrium statistical mechanics of crystals
• Enhancing (quasi-)long-range order in a two-dimensional driven crystal
• Microscopic density-functional approach to nonlinear elasticity theory
• Hydrodynamics with triangular point group
• Quantum local-equilibrium approach to dissipative hydrodynamics
• Continuum mechanics for the elastic properties of crystals: Microscopic approach based on projection-operator formalism
• Poles of hydrodynamic spectral functions and Einstein-Helfand formulas for transport coefficients
• Dissipation in Hydrodynamics from Micro- to Macroscale: Wisdom from Boltzmann and Stochastic Thermodynamics
• Elasticity in crystals with high density of local defects : insights from ultra-soft colloids