The Dissipation Function: Its Relationship to Entropy Production, Theorems for Nonequilibrium Systems and Observations on Its Extrema

2013 ◽  
pp. 31-47 ◽  
Author(s):  
James C. Reid ◽  
Sarah J. Brookes ◽  
Denis J. Evans ◽  
Debra J. Searles
Keyword(s):  
Entropy Production ◽  
Dissipation Function ◽  
Nonequilibrium Systems

scholarly journals Time, Irreversibility and Entropy Production in Nonequilibrium Systems

Entropy ◽  
2020 ◽  
Vol 22 (8) ◽  
pp. 887 ◽  
Author(s):  
Umberto Lucia ◽  
Giulia Grisolia ◽  
Alexander L. Kuzemsky
Keyword(s):  
Thermal Radiation ◽  
Entropy Production ◽  
Entropy Generation ◽  
Temporal Evolution ◽  
Nonequilibrium Systems ◽  
Time Irreversibility ◽  
Shed Light

The aim of this review is to shed light on time and irreversibility, in order to link macroscopic to microscopic approaches to these complicated problems. After a brief summary of the standard notions of thermodynamics, we introduce some considerations about certain fundamental aspects of temporal evolution of out-of-equilibrium systems. Our focus is on the notion of entropy generation as the marked characteristic of irreversible behaviour. The concept of time and the basic aspects of the thermalization of thermal radiation, due to the interaction of thermal radiation with matter, are explored concisely from complementary perspectives. The implications and relevance of time for the phenomenon of thermal radiation and irreversible thermophysics are carefully discussed. The concept of time is treated from a different viewpoint, in order to make it as clear as possible in relation to its different fundamental problems.

On the different formalisms for the transport equations of thermoelectricity: A review

2015 ◽  
Vol 40 (3) ◽  
Author(s):  
José A. Manzanares ◽  
Miikka Jokinen ◽  
Javier Cervera
Keyword(s):  
Entropy Production ◽  
Transport Equations ◽  
Dissipation Function ◽  
Point Of View ◽  
Entropy Production Rate ◽  
Systematic Classification ◽  
Seebeck Coefficients ◽  
Primary Focus

AbstractResearchers in thermoelectricity with backgrounds in non-equilibrium thermodynamics, thermoelectric engineering or condensed-matter physics tend to use different choices of flux densities and generalized forces. These choices are seldom justified from either the dissipation function or the entropy production rate. Because thermoelectric phenomena are a primary focus in several emerging fields, particularly in recent energy-oriented developments, a review of the different formalisms employed is judged timely. A systematic classification of the transport equations is presented here. The requirements on valid transport equations imposed by the invariance of the entropy production are clearly explained. The effective Peltier and Seebeck coefficients, and the thermal conductivity, corresponding to the different choices of flux densities and generalized forces, are identified. Emphasis is made on illustrating the compatibility of apparently disparate formalisms. The advantages and drawbacks of these formalisms are discussed, especially from the point of view of the experimental determination of their thermoelectric coefficients.

scholarly journals On entropy production in nonequilibrium systems

2015 ◽  
Vol 2015 (8) ◽  
pp. P08014 ◽  
Author(s):  
Robert Ziener ◽  
Amos Maritan ◽  
Haye Hinrichsen
Keyword(s):  
Entropy Production ◽  
Nonequilibrium Systems

From Stochastic Thermodynamics to Thermodynamic Inference

2019 ◽  
Vol 10 (1) ◽  
pp. 171-192 ◽  
Author(s):  
Udo Seifert
Keyword(s):  
Entropy Production ◽  
Molecular Motors ◽  
Coarse Grained ◽  
Nonequilibrium Systems ◽  
General Strategy ◽  
Stochastic Thermodynamics ◽  
Typical Situation ◽  
Experimental Systems ◽  
Model Free ◽  
Consistency Constraints

For a large class of nonequilibrium systems, thermodynamic notions like work, heat, and, in particular, entropy production can be identified on the level of fluctuating dynamical trajectories. Within stochastic thermodynamics various fluctuation theorems relating these quantities have been proven. Their application to experimental systems requires that all relevant mesostates are accessible. Recent advances address the typical situation that only partial, or coarse-grained, information about a system is available. Thermodynamic inference as a general strategy uses consistency constraints derived from stochastic thermodynamics to infer otherwise hidden properties of nonequilibrium systems. An important class in this respect are active particles, for which we resolve the conflicting strategies that have been proposed to identify entropy production. As a paradigm for thermodynamic inference, the thermodynamic uncertainty relation provides a lower bound on the entropy production through measurements of the dispersion of any current in the system. Likewise, it quantifies the cost of precision for biomolecular processes. Generalizations and ramifications allow the inference of, inter alia, model-free upper bounds on the efficiency of molecular motors and of the minimal number of intermediate states in enzymatic networks.

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