HR: 17:20h
AN: NG14A-06    [Abstracts]
TI: Thermodynamic Condition For The Validity of Maximum Entropy Production Principle
AU: * Sawada, Y
EM: sawada@tohtech.ac.jp
AF: Tohoku Institute of Technology, 35-1,Yagiyama-Kasumi, Taihaku, , Sendai, 982-8577 Japan
AB: Many spatio-temporal patterns are possible for a given boundary condition in a closed nonlinear system far from equilibrium. In 1981, the author proposed Maxumum Entropy Production(MEP) principle, as a general thermodynamic principle of pattern selection concerning of a finite closed system including a nonlinear mechanism inside. "The entropy of a set of reservoirs connected through a small nonlinear system increases along a path of evolution which produces the largest amount of entropy increment per unit time among a manifold of the allowed paths_h. Derivation of the principle of entropy change is based on the concept of the second law of thermodynamics, applied for the composite system of plural reservoirs connected through a nonlinear system. Utilizing the fact that any target nonlinear system is much smaller than the reservoirs, one can assume that the total entropy is the sum of the entropies of the reservoirs. For the validity of MPE principle, some appropriate conditions must be satisfied for the time constants of the reservoirs. This check may be essential when the MPE principle is applied to the phenomena in geophysics. In this paper I examine the conditions for ssone comosite systems
DE: 4430 Complex systems
DE: 4460 Pattern formation
DE: 4485 Self-organization
SC: Nonlinear Geophysics [NG]
MN: Fall Meeting 2005