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

open access: yesEntropy (Basel), 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’
Dufour CG.
europepmc   +2 more sources

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

open access: yesNat Commun, 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 ...
Budiyono A, Rohrlich D.
europepmc   +2 more sources

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

open access: yesEntropy (Basel), 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 ...
Álvarez-Estrada RF.
europepmc   +2 more sources

Disorder-induced quantum-to-classical transition, or how the world becomes classical [PDF]

open access: yesEPJ Web of Conferences, 2022
Decoherence theory explains how quantum mechanics gives rise to classical mechanics through the entanglement of a quantum system’s evolution with the degrees of freedom of the environment.
Bringuier Eric
doaj   +1 more source

Hybrid classical-quantum computing: Applications to statistical mechanics of financial markets [PDF]

open access: yesE3S Web of Conferences, 2021
Hybrid Classical-Quantum computing is now offered by several commercial quantum computers. In this project, a model of financial options, Statistical Mechanics of Financial Markets (SMFM), uses this approach. However, only Classical (super-)computers are
Ingber Lester
doaj   +1 more source

Quantum–Classical Mechanics: Statistical Approach to Molecular Collisions

open access: yesComputer Sciences & Mathematics Forum, 2023
The chaotic dynamics of the transient state in molecular and physicochemical transitions in quantum–classical mechanics is considered in relation to the problem of redistribution of the vibrational–rotational energy of polyatomic molecules M and M1 in ...
Vladimir V. Egorov
doaj   +1 more source

A simple second order thermodynamic perturbation theory for associating fluids

open access: yesCondensed Matter Physics, 2021
An approximation within Wertheim's second order perturbation theory is proposed which allows for the development of a general solution for pure component fluids with an arbitrary number and functionality of association sites.
B. D. Marshall
doaj   +1 more source

Probabilistic cellular automata for interacting fermionic quantum field theories

open access: yesNuclear Physics B, 2021
A classical local cellular automaton can describe an interacting quantum field theory for fermions. We construct a simple classical automaton for a particular version of the Thirring model with imaginary coupling. This interacting fermionic quantum field
C. Wetterich
doaj   +1 more source

Contextuality in Classical Physics and Its Impact on the Foundations of Quantum Mechanics

open access: yesEntropy, 2021
It is shown that the hallmark quantum phenomenon of contextuality is present in classical statistical mechanics (CSM). It is first shown that the occurrence of contextuality is equivalent to there being observables that can differentiate between pure and
Fritiof Wallentin
doaj   +1 more source

The functional mechanics: evolution of the moments of distribution function and the poincare recurrence theorem

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011
One of modern approaches to a problem of the coordination of classical mechanics and the statistical physics - the functional mechanics is considered.
Andrey I Mikhailov
doaj   +3 more sources

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