Microscopic approach to entropy production

Abstract

It is a great challenge of nonequilibrium statistical mechanics to calculate entropy production within a microscopic theory. In the framework of linear irreversible thermodynamics, we combine the Mori-Zwanzig-Forster projection operator technique with the first and second law of thermodynamics to obtain microscopic expressions for the entropy production as well as for the transport equations of the entropy density and its time correlation function. We further present a microscopic derivation of a dissipation functional from which the dissipative dynamics of an extended dynamical density functional theory can be obtained in a formally elegant way.

10 pages

References in corpus (10)

• Phase-field-crystal models for condensed matter dynamics on atomic length and diffusive time scales: an overview
• Derivation of the phase field crystal model for colloidal solidification
• Dynamical density functional theory for colloidal particles with arbitrary shape
• Derivation of a three-dimensional phase-field-crystal model for liquid crystals from density functional theory
• Phase-field-crystal model for liquid crystals
• Nonlinear Fluid Dynamics Description of non-Newtonian Fluids
• Extended dynamical density functional theory for colloidal mixtures with temperature gradients
• Polar liquid crystals in two spatial dimensions: the bridge from microscopic to macroscopic modeling
• Microscopic and macroscopic theories for the dynamics of polar liquid crystals
• Statics and dynamics of inhomogeneous liquids via the internal-energy functional

Cited by in corpus (10)

• Classical dynamical density functional theory: from fundamentals to applications
• Mori-Zwanzig projection operator formalism for systems with time-dependent Hamiltonians
• Projection operators in statistical mechanics: a pedagogical approach
• Cycle representatives for the coarse-graining of systems driven into a non-equilibrium steady state
• Perspective: New directions in dynamical density functional theory
• Mori-Zwanzig formalism for general relativity: a new approach to the averaging problem
• The Five Problems of Irreversibility
• Understanding probability and irreversibility in the Mori-Zwanzig projection operator formalism
• Microscopic density-functional approach to nonlinear elasticity theory
• Non-reciprocal hidden degrees of freedom: A unifying perspective on memory, feedback, and activity