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Work statistics in stochastically driven systems

New Journal of Physics, 2014
We identify the conditions under which a stochastic driving that induces energy changes into a system coupled with a thermal bath can be treated as a work source.
Gatien Verley, Christian Van den Broeck, Massimiliano Esposito   +2 more
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Is Kaniadakis κ-generalized statistical mechanics general?

Physics Letters B, 2023
In this Letter we introduce some field-theoretic approach for computing the critical properties of systems undergoing continuous phase transitions governed by the κ-generalized statistics, namely κ-generalized statistical field theory.
T.F.A. Alves, J.F. da Silva Neto, F.W.S. Lima, G.A. Alves, P.R.S. Carvalho   +4 more
doaj   +1 more source

Geometrization of statistical mechanics

Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 1999
Classical and quantum statistical mechanics are cast here in the language of projective geometry to provide a unified geometrical framework for statistical physics. After reviewing the Hilbert space formulation of classical statistical thermodynamics, we introduce projective geometry as a basis for analysing probabilistic aspects of statistical physics.
Brody, Dorje C., Hughston, Lane P.
openaire   +3 more sources

Statistical mechanics of networks [PDF]

Physical Review E, 2004
We study the family of network models derived by requiring the expected properties of a graph ensemble to match a given set of measurements of a real-world network, while maximizing the entropy of the ensemble. Models of this type play the same role in the study of networks as is played by the Boltzmann distribution in classical statistical mechanics ...
Park, JY Park, Juyong, Newman, MEJ Newman, MEJ   +1 more
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Statistical Mechanics Involving Fractal Temperature

Fractal and Fractional, 2019
In this paper, the Schrödinger equation involving a fractal time derivative is solved and corresponding eigenvalues and eigenfunctions are given. A partition function for fractal eigenvalues is defined.
Alireza Khalili Golmankhaneh
doaj   +1 more source

Several identities in statistical mechanics

International Journal of Mathematics and Mathematical Sciences, 1994
In an earlier paper concerning a solvable Inodel in statistical mechanics, Miwa and Jimbo state a theta-function identity which they have checked to the 200th power, but of which they do not have a proof.
M. D. Hirschhorn
doaj   +1 more source

Lectures on statistical mechanics

Journal of Plasma Physics
Abstract Presented here is a transcription of the lecture notes from Professor Allan N. Kaufman’s graduate statistical mechanics course Physics 212A and 212B at the University of California Berkeley from the 1972–1973 academic year.
Allan N. Kaufman, Bruce I. Cohen, Alain J. Brizard   +2 more
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Statistical Mechanics of Crabgrass

The Annals of Probability, 1989
The authors investigate the time evolution of the contact branching particle processes on \({\mathbb{Z}}^ d/M=\{(x_ 1/M,...,x_ d/M)\}\in {\mathbb{R}}^ d,\) \(x\in {\mathbb{Z}}^ d\). The critical rate of births \(\lambda_ c(M)>0\) is introduced, \(\lambda_ c(M)=\inf \{\lambda:\) the contact process survives with positive probability\(\}\).
Bramson, M., Durrett, R., Swindle, G.
openaire   +2 more sources

Thermodynamics and statistical mechanics [PDF]

Nature, 1972
Thermodynamics and Statistical Mechanics. By P.T. Landsberg (Oxford University Press: Oxford, 1979.) £9.75.
openaire   +1 more source

Statistical mechanics for non-Hermitian quantum systems

Physical Review Research, 2023
We present a systematic study of statistical mechanics for non-Hermitian quantum systems. Our work reveals that the stability of a non-Hermitian system necessitates the existence of a single path-dependent conserved quantity, which, in conjunction with ...
Kui Cao, Su-Peng Kou
doaj   +1 more source