An explicit relation between the dimensional loss [Formula presented] entropy production, and transport is established under thermal gradients, relating the microscopic and macroscopic behaviors of the system. The extensivity of [Formula presented] in systems with bulk behavior follows from the relation. The maximum Lyapunov exponents in thermal equilibrium and [Formula presented] in nonequilibrium depend on the choice of heat baths, while their product is unique and macroscopic. Finite-size corrections are also computed and all results are verified numerically.
|ジャーナル||Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics|
|出版ステータス||Published - 2003 1 1|
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics