The dissipation function: its relationship to entropy production, theorems for nonequilibrium systems and observations on its extrema

Reid, James C., Brookes, Sarah J., Evans, Denis J. and Searles, Debra J. (2014). The dissipation function: its relationship to entropy production, theorems for nonequilibrium systems and observations on its extrema. In Roderick C. Dewar, Charles H. Lineweaver, Robert K. Niven and Klaus Regenauer-Lieb (Ed.), Beyond the second law: entropy production and non-equilibrium systems (pp. 31-47) Heidelberg, Germany: Springer. doi:10.1007/978-3-642-40154-1_2

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Author Reid, James C.
Brookes, Sarah J.
Evans, Denis J.
Searles, Debra J.
Title of chapter The dissipation function: its relationship to entropy production, theorems for nonequilibrium systems and observations on its extrema
Title of book Beyond the second law: entropy production and non-equilibrium systems
Place of Publication Heidelberg, Germany
Publisher Springer
Publication Year 2014
Sub-type Research book chapter (original research)
DOI 10.1007/978-3-642-40154-1_2
Open Access Status DOI
Series Understanding Complex Systems
ISBN 9783642401534
9783642401541
Editor Roderick C. Dewar
Charles H. Lineweaver
Robert K. Niven
Klaus Regenauer-Lieb
Chapter number 2
Start page 31
End page 47
Total pages 17
Total chapters 22
Language eng
Abstract/Summary In this chapter we introduce the dissipation function, and discuss the behaviour of its extrema. The dissipation function allows the reversibility of a nonequilibrium process to be quantified for systems arbitrarily close to or far from equilibrium. For a system out of equilibrium, the average dissipation over a period, t, will be positive. For field driven flow in the thermodynamic and small field limits, the dissipation function becomes proportional to the rate of entropy production from linear irreversible thermodynamics. It can therefore be considered as an entropy-like quantity that remains useful far from equilibrium and for relaxation processes. The dissipation function also appears in three important theorems in nonequilibrium statistical mechanics: the fluctuation theorem, the dissipation theorem and the relaxation theorem. In this chapter we introduce the dissipation function and the theorems, and show how they quantify the emergence of irreversible behaviour in perturbed, steady state, and relaxing nonequilibrium systems. We also examine the behaviour of the dissipation function in terms of the extrema of the function using numerical and analytical approaches.
Q-Index Code B1
Q-Index Status Confirmed Code
Institutional Status UQ

 
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Created: Wed, 23 Apr 2014, 22:28:15 EST by Anthony Yeates on behalf of Aust Institute for Bioengineering & Nanotechnology