Understanding atmospheric behaviour in terms of entropy: a review of applications of the second law of thermodynamics to meteorology

Y Liu, C Liu, D Wang - Entropy, 2011 - mdpi.com
The concept of entropy and its relevant principles, mainly the principle of maximum entropy
production (MEP), the effect of negative entropy flow (NEF) on the organization of …

Contact geometry of mesoscopic thermodynamics and dynamics

M Grmela - Entropy, 2014 - mdpi.com
The time evolution during which macroscopic systems reach thermodynamic equilibrium
states proceeds as a continuous sequence of contact structure preserving transformations …

Steepest entropy ascent model for far-nonequilibrium thermodynamics: Unified implementation of the maximum entropy production principle

GP Beretta - Physical Review E, 2014 - APS
By suitable reformulations, we cast the mathematical frameworks of several well-known
different approaches to the description of nonequilibrium dynamics into a unified formulation …

Steady state of a dissipative flow-controlled system and the maximum entropy production principle

RK Niven - Physical Review E—Statistical, Nonlinear, and Soft …, 2009 - APS
A theory to predict the steady-state position of a dissipative flow-controlled system, as
defined by a control volume, is developed based on the maximum entropy principle of …

Nonlinear quantum evolution equations to model irreversible adiabatic relaxation with maximal entropy production and other nonunitary processes

GP Beretta - Reports on Mathematical Physics, 2009 - Elsevier
We first discuss the geometrical construction and the main mathematical features of the
maximum-entropy production/steepest-entropy-ascent nonlinear evolution equation …

The rate-controlled constrained-equilibrium approach to far-from-local-equilibrium thermodynamics

GP Beretta, JC Keck, M Janbozorgi, H Metghalchi - Entropy, 2012 - mdpi.com
The Rate-Controlled Constrained-Equilibrium (RCCE) method for the description of the time-
dependent behavior of dynamical systems in non-equilibrium states is a general, effective …

Essential equivalence of the general equation for the nonequilibrium reversible-irreversible coupling (GENERIC) and steepest-entropy-ascent models of dissipation …

A Montefusco, F Consonni, GP Beretta - Physical Review E, 2015 - APS
By reformulating the steepest-entropy-ascent (SEA) dynamical model for nonequilibrium
thermodynamics in the mathematical language of differential geometry, we compare it with …

Nonequilibrium thermodynamics of colloidal systems

VI Roldughin - Russian Chemical Reviews, 2012 - iopscience.iop.org
The review concerns various aspects of application of the classical nonequilibrium
thermodynamics to the description of transfer processes in colloidal systems. Specific …

[HTML][HTML] Investigation of the statistical distance to reach stationary distributions

SB Nicholson, E Kim - Physics Letters A, 2015 - Elsevier
The thermodynamic length gives a Riemannian metric to a system's phase space. Here we
extend the traditional thermodynamic length to the information length (L) out of equilibrium …

Steepest-entropy-ascent model of mesoscopic quantum systems far from equilibrium along with generalized thermodynamic definitions of measurement and reservoir

G Li, MR von Spakovsky - Physical Review E, 2018 - APS
This paper presents a nonequilibrium, first-principles, thermodynamic-ensemble-based
model for the relaxation process of interacting nonequilibrium systems. This model is …