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Quantum mechanics as classical statistical mechanics with an ontic extension and an epistemic restriction [PDF]

open access: yesNature Communications, 2017
Where does quantum mechanics part ways with classical statistical mechanics? Here the authors derive both within a common framework; the former differs from the latter by an ontic nonseparable random variable and a restriction on the allowed phase space ...
Agung Budiyono, Daniel Rohrlich
doaj   +4 more sources

Ergodic hypothesis in classical statistical mechanics [PDF]

open access: yesRevista Brasileira de Ensino de Física, 2007
An updated discussion on physical and mathematical aspects of the ergodic hypothesis in classical equilibrium statistical mechanics is presented. Then a practical attitude for the justification of the microcanonical ensemble is indicated.
César R. de Oliveira, Thiago Werlang
doaj   +6 more sources

Quasicontinuous approximation in classical statistical mechanics [PDF]

open access: greenUkrainian Mathematical Journal, 2011
Within the framework of classical statistical mechanics, we consider infinite continuous systems of point particles with strong superstable interaction. A family of approximate correlation functions is defined to take into account solely the configurations of particles in the space
S. M. Petrenko   +2 more
semanticscholar   +5 more sources

Definition and Time Evolution of Correlations in Classical Statistical Mechanics [PDF]

open access: yesEntropy, 2018
The study of dense gases and liquids requires consideration of the interactions between the particles and the correlations created by these interactions. In this article, the N-variable distribution function which maximizes the Uncertainty (Shannon’
Claude G. Dufour
doaj   +2 more sources

Quantum Systems on Non-$k$-Hyperfinite Complexes: A Generalization of Classical Statistical Mechanics on Expander Graphs [PDF]

open access: greenQuantum information & computation, 2013
We construct families of cell complexes that generalize expander graphs. These families are called non-k-hyperfinite, generalizing the idea of a non-hyperfinite (NH) family of graphs.
Michael Freedman, M. B. Hastings
openalex   +3 more sources

On the analyticity in the potential in classical statistical mechanics [PDF]

open access: greenCommunications in Mathematical Physics, 1978
Some general results on strong cluster properties of connected or partially connected correlations, and their links with analyticity properties with respect to the potential or to classes of perturbations of the potential are presented.
D. Iagolnitzer, Bernard Souillard
openalex   +5 more sources

Non-Equilibrium Liouville and Wigner Equations: Classical Statistical Mechanics and Chemical Reactions for Long Times [PDF]

open access: yesEntropy, 2019
We review and improve previous work on non-equilibrium classical and quantum statistical systems, subject to potentials, without ab initio dissipation. We treat classical closed three-dimensional many-particle interacting systems without any “heat ...
Ramon F. Álvarez-Estrada
doaj   +2 more sources

Basis of Local Approach in Classical Statistical Mechanics [PDF]

open access: yesEntropy, 2005
: An ensemble of classical subsystems interacting with surrounding particles has been considered. In general case, a phase volume of the subsystems ensemble was shown to be a function of time.
Sergey R. Sharov
doaj   +4 more sources

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