Results 31 to 40 of about 435,619 (47)

Is microcanonical ensemble stable? [PDF]

open access: yesarXiv, 2017
No, in a rigorous sense specified below.
arxiv  

On a geometric mean and power-law statistical distributions [PDF]

open access: yesarXiv, 2005
For a large class of statistical systems a geometric mean value of the observables is constrained. These observables are characterized by a power-law statistical distribution.
arxiv  

Nonequilibrium Thermodynamics [PDF]

open access: yesarXiv, 2019
Aspects of the modern dynamical systems approach to thermodynamics of stationary states out of equilibrium with attention to the original conceptions which arose at the beginnings of Statistical ...
arxiv  

Legendre transforms of the fundamental thermodynamic relation and statistical ensembles [PDF]

open access: yesarXiv, 2014
We show how the Legendre transforms of the fundamental thermodynamic relation can be used to introduce different statistical ensembles.
arxiv  

Entropy, Nonequilibrium, Chaos and Infinitesimals [PDF]

open access: yesarXiv, 2006
A survey of the approach to Statistical Mechanics following Boltzmann's theory of ensembles and ergodic hypothesis leading to chaoticity as a unifying principle of equilibrium and nonequilibrium Statistical Mechanics.
arxiv  

A Field Guide to Recent Work on the Foundations of Statistical Mechanics [PDF]

open access: yesarXiv, 2008
This is an extensive review of recent work on the foundations of statistical mechanics. Subject matters discussed include: interpretation of probability, typicality, recurrence, reversibility, ergodicity, mixing, coarse graining, past hypothesis, reductionism, phase average, thermodynamic limit, interventionism, entropy.
arxiv  

Three lectures on statistical mechanics [PDF]

open access: yesarXiv, 2016
These lectures were prepared for the 2014 PCMI graduate summer school and were designed to be a lightweight introduction to statistical mechanics for mathematicians. The applications feature some of the themes of the summer school: sphere packings and tilings.
arxiv  

Deriving Landauer's erasure principle from statistical mechanics [PDF]

open access: yesarXiv, 2005
We present a concise derivation of Landauer's erasure principle from the postulates of statistical mechanics, along with a small number of additional but uncontroversial axioms.
arxiv  

Theoretical construction of 1D anyon models [PDF]

open access: yesarXiv, 2007
One-dimensional anyon models are renewedly constructed by using path integral formalism. A statistical interaction term is introduced to realize the anyonic exchange statistics. The quantum mechanics formulation of statistical transmutation is presented.
arxiv  

Conformal Field Theory and Statistical Mechanics [PDF]

open access: yesarXiv, 2008
The lectures provide a pedagogical introduction to the methods of CFT as applied to two-dimensional critical behaviour.
arxiv  

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