Definition and Time Evolution of Correlations in Classical Statistical Mechanics [PDF]
Entropy, 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
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Quantum mechanics as classical statistical mechanics with an ontic extension and an epistemic restriction [PDF]
Nature 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
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Non-Equilibrium Liouville and Wigner Equations: Classical Statistical Mechanics and Chemical Reactions for Long Times [PDF]
Entropy, 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
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Disorder-induced quantum-to-classical transition, or how the world becomes classical [PDF]
EPJ 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
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Hybrid classical-quantum computing: Applications to statistical mechanics of financial markets [PDF]
E3S 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
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Quantum–Classical Mechanics: Statistical Approach to Molecular Collisions
Computer 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
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Quantum Approach to Classical Statistical Mechanics [PDF]
Physical Review Letters, 2007 We present a new approach to study the thermodynamic properties of $d$-dimensional classical systems by reducing the problem to the computation of ground state properties of a $d$-dimensional quantum model. This classical-to-quantum mapping allows us to deal with standard optimization methods, such as simulated and quantum annealing, on an equal basis.
Somma, R. D., Batista, C. D., Ortiz, G.
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A simple second order thermodynamic perturbation theory for associating fluids
Condensed 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
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Probabilistic cellular automata for interacting fermionic quantum field theories
Nuclear 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
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Contextuality in Classical Physics and Its Impact on the Foundations of Quantum Mechanics
Entropy, 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
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