Poulomi Sadhukhan and Somendra M Bhattacharjee 2010 J. Phys. A: Math. Theor. 43 245001 doi:10.1088/1751-8113/43/24/245001
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.
05.70.Ln Nonequilibrium and irreversible thermodynamics
05.20.-y Classical statistical mechanics
75.60.Ej Magnetization curves, hysteresis, Barkhausen and related effects
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
Issue 24 (18 June 2010)
Received 3 December 2009, in final form 14 April 2010
Published 20 May 2010
Poulomi Sadhukhan and Somendra M Bhattacharjee 2010 J. Phys. A: Math. Theor. 43 245001
Somendra M Bhattacharjee and Sutapa Mukherji 1998 J. Phys. A: Math. Gen. 31 L695
Sutapa Mukherji and Somendra M Bhattacharjee 2005 J. Phys. A: Math. Gen. 38 L285
Parongama Sen and Somendra M Bhattacharjee 2002 J. Phys. A: Math. Gen. 35 L141
Somendra M Bhattacharjee 2007 J. Phys. A: Math. Theor. 40 1703
Takenori Nakano et al. 2000 ApJ 534 976
Masahiro Tsujimoto et al. 2002 ApJ 573 270
M Dikpati and P A Gilman 2007 New J. Phys. 9 297
R. Cameron and M. Schüssler 2008 ApJ 685 1291
Tong Xu et al 2008 Chin. J. Astron. Astrophys. 8 337