TY - JOUR
T1 - Lyapunov exponents and the extensivity of dimensional loss for systems in thermal gradients
AU - Aoki, Kenichiro
AU - Kusnezov, Dimitri
PY - 2003/1/1
Y1 - 2003/1/1
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevE.68.056204
DO - 10.1103/PhysRevE.68.056204
M3 - Article
AN - SCOPUS:85035299760
SN - 1063-651X
VL - 68
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
IS - 5
ER -