Poulomi Sadhukhan and Somendra M Bhattacharjee 2010 J. Phys. A: Math. Theor. 43 245001 doi:10.1088/1751-8113/43/24/245001
Thermodynamics as a nonequilibrium path integral
Poulomi Sadhukhan and Somendra M Bhattacharjee
Show affiliationsThermodynamics is a well-developed tool to study systems in equilibrium but no such general framework is available for nonequilibrium processes. The only hope for a quantitative description is to fall back upon the equilibrium language as often done in biology. This gap is bridged by the work theorem. By using this theorem, we show that the Barkhausen-type nonequilibrium noise in a process, repeated many times, can be combined to construct a special matrix 
whose principal eigenvector provides the equilibrium distribution. For an interacting system, 
, the equilibrium distribution can be obtained from the free case without any requirement of equilibrium.
- PACS
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05.70.Ln Nonequilibrium and irreversible thermodynamics
05.20.-y Classical statistical mechanics
75.60.Ej Magnetization curves, hysteresis, Barkhausen and related effects
- MSC
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15A18 Eigenvalues, singular values, and eigenvectors
82C05 Classical dynamic and nonequilibrium statistical mechanics (general)
82C80 Numerical methods (Monte Carlo, series resummation, etc.)
82C35 Irreversible thermodynamics, including Onsager-Machlup theory
- Subjects
- Dates
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Issue 24 (18 June 2010)
Received 3 December 2009, in final form 14 April 2010
Published 20 May 2010
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Thermodynamics as a nonequilibrium path integral
Poulomi Sadhukhan and Somendra M Bhattacharjee 2010 J. Phys. A: Math. Theor. 43 245001
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