TY - JOUR
T1 - Remarks on non-Hamiltonian statistical mechanics
T2 - Lyapunov exponents and phase-space dimensionality loss
AU - Hoover, Wm G.
AU - Posch, H. A.
AU - Aoki, K.
AU - Kusnezov, D.
PY - 2002/11
Y1 - 2002/11
N2 - The dissipation associated with nonequilibrium flow processes is reflected by the formation of strange attractor distributions in phase space. The information dimension of these attractors is less than that of the equilibrium phase space, corresponding to the extreme rarity of nonequilibrium states. Here we take advantage of a simple model for heat conduction to demonstrate that the nonequilibrium dimensionality loss can definitely exceed the number of phase-space dimensions required to thermostat an otherwise Hamiltonian system.
AB - The dissipation associated with nonequilibrium flow processes is reflected by the formation of strange attractor distributions in phase space. The information dimension of these attractors is less than that of the equilibrium phase space, corresponding to the extreme rarity of nonequilibrium states. Here we take advantage of a simple model for heat conduction to demonstrate that the nonequilibrium dimensionality loss can definitely exceed the number of phase-space dimensions required to thermostat an otherwise Hamiltonian system.
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U2 - 10.1209/epl/i2002-00269-3
DO - 10.1209/epl/i2002-00269-3
M3 - Article
AN - SCOPUS:0036851029
VL - 60
SP - 337
EP - 341
JO - Lettere Al Nuovo Cimento
JF - Lettere Al Nuovo Cimento
SN - 0295-5075
IS - 3
ER -