Europhys. Lett.
Volume 64, Number 5, December 2003
Page(s) 627 - 633
Section General
Published online 01 November 2003
DOI: 10.1209/epl/i2003-00274-6
Europhys. Lett., 64 (5) , pp. 627-633 (2003)

Statistics of nonequilibrium trajectories and pattern selection

H.-J. Woo

Department of Biochemistry, Weill Medical College of Cornell University New York, NY 10021, USA

(Received 24 June 2003; accepted in final form 17 September 2003)

The probability distribution of macroscopic nonequilibrium trajectories is constructed on a general ground. The phenomenological constitutive relations correspond to the evolution equation of the most probable path. A generalized entropy production, which reduces to the thermodynamic entropy production when the constitutive relations are linear, is shown to be maximized within the trajectory space of solutions to the phenomenological evolution equation.

05.70.Ln - Nonequilibrium and irreversible thermodynamics.
47.54.+r - Pattern selection; pattern formation.
05.40.-a - Fluctuation phenomena, random processes, noise, and Brownian motion.

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