Kinetic Boltzmann, Vlasov and related equations
A Sinitsyn, E Dulov, V Vedenyapin - 2011 - books.google.com
Boltzmann and Vlasov equations played a great role in the past and still play an important
role in modern natural sciences, technique and even philosophy of science. Classical …
role in modern natural sciences, technique and even philosophy of science. Classical …
Information gain within nonextensive thermostatistics
L Borland, AR Plastino, C Tsallis - Journal of Mathematical Physics, 1998 - pubs.aip.org
There is a currently growing body of evidence implying that a nonextensive thermostatistical
description is needed in order to adequately understand a vast class of physical …
description is needed in order to adequately understand a vast class of physical …
[图书][B] Microscopic chaos, fractals and transport in nonequilibrium statistical mechanics
R Klages - 2007 - books.google.com
A valuable introduction for newcomers as well as an important reference and source of
inspiration for established researchers, this book provides an up-to-date summary of central …
inspiration for established researchers, this book provides an up-to-date summary of central …
The rate of entropy change in non-Hamiltonian systems
L Andrey - Physics Letters A, 1985 - Elsevier
PII: 0375-9601(85)90799-6 Page 1 Volume 1 llA, number 1,2 PHYSICS LETTERS 26 August
1985 THE RATE OF ENTROPY CHANGE IN NON-HAMILTONIAN SYSTEMS L. ANDREY …
1985 THE RATE OF ENTROPY CHANGE IN NON-HAMILTONIAN SYSTEMS L. ANDREY …
Stochastic limit-cycle oscillations of a nonlinear system under random perturbations
Dynamical systems with ε ε small random perturbations appear in both continuous
mechanical motions and discrete stochastic chemical kinetics. The present work provides a …
mechanical motions and discrete stochastic chemical kinetics. The present work provides a …
On the statistical mechanics of non-Hamiltonian systems: the generalized Liouville equation, entropy, and time-dependent metrics
GS Ezra - Journal of mathematical chemistry, 2004 - Springer
Several questions in the statistical mechanics of non-Hamiltonian systems are discussed.
The theory of differential forms on the phase space manifold is applied to provide a fully …
The theory of differential forms on the phase space manifold is applied to provide a fully …
The mean-field limit of the Cucker-Smale model on complete Riemannian manifolds
We study the mean-field limit of the Cucker-Smale (CS) model for flocking on complete
smooth Riemannian manifolds. For this, we first formally derive the kinetic manifold CS …
smooth Riemannian manifolds. For this, we first formally derive the kinetic manifold CS …
Minimum Kullback entropy approach to the Fokker-Planck equation
AR Plastino, HG Miller, A Plastino - Physical Review E, 1997 - APS
We consider a minimum Kullback entropy approach to determine approximate, time-
dependent solutions to the N-dimensional Fokker-Planck (FP) equation. It is shown that the …
dependent solutions to the N-dimensional Fokker-Planck (FP) equation. It is shown that the …
Remarks on entropy and irreversibility in non-Hamiltonian systems
JD Ramshaw - Physics Letters A, 1986 - Elsevier
Entropy and irreversibility in non-hamiltonian systems are discussed from a fully covariant
point of view. The discussion is based on the generalized Liouville equation, the definition of …
point of view. The discussion is based on the generalized Liouville equation, the definition of …
Reversible measure-preserving integrators for non-Hamiltonian systems
GS Ezra - The Journal of chemical physics, 2006 - pubs.aip.org
We present a systematic method for deriving reversible measure-preserving integrators for
non-Hamiltonian systems such as the Nosé-Hoover thermostat and generalized Gaussian …
non-Hamiltonian systems such as the Nosé-Hoover thermostat and generalized Gaussian …