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GENERALIZATION OF CLASSICAL STATISTICAL MECHANICS TO QUANTUM MECHANICS AND STABLE PROPERTY OF CONDENSED MATTER [PDF]

open access: yesModern Physics Letters B, 2004
Classical statistical average values are generally generalized to average values of quantum mechanics. It is discovered that quantum mechanics is a direct generalization of classical statistical mechanics, and we generally deduce both a new general continuous eigenvalue equation and a general discrete eigenvalue equation in quantum mechanics, and ...
Huang, Y. C., Ma, F. C., Zhang, N.
core   +5 more sources

Fifty years of Middle European Cooperation: a personal perspective of the physical evolution in statistical mechanics and condensed matter

open access: yesJournal of Statistical Mechanics: Theory and Experiment
Abstract The 50th Anniversary of Middle European Cooperation (MECO) conferences is celebrated by recalling how from the programs of MECO meetings, it is possible to follow the evolution of Condensed Matter and Statistical Mechanics of the last fifty years. It will be unravelled a personal view of how MECO meetings in the decades actively
Carlo Di Castro
openaire   +2 more sources

Models of dark matter halos based on statistical mechanics: II. The fermionic King model [PDF]

open access: yes, 2014
We discuss the nature of phase transitions in the fermionic King model which describes tidally truncated quantum self-gravitating systems. This distribution function takes into account the escape of high energy particles and has a finite mass.
Chavanis, Pierre-Henri   +2 more
core   +4 more sources

Statistical mechanics of Floquet quantum matter: exact and emergent conservation laws [PDF]

open access: yesJournal of Physics: Condensed Matter, 2021
Equilibrium statistical mechanics rests on the assumption of chaotic dynamics of a system modulo the conservation laws of local observables: extremization of entropy immediately gives Gibbs’ ensemble (GE) for energy conserving systems and a generalized ...
A. Haldar, Arnab Das
semanticscholar   +1 more source

Why neural functionals suit statistical mechanics [PDF]

open access: yesJournal of Physics: Condensed Matter, 2023
We describe recent progress in the statistical mechanical description of many-body systems via machine learning combined with concepts from density functional theory and many-body simulations. We argue that the neural functional theory by Sammüller et al
Florian Sammüller   +2 more
semanticscholar   +1 more source

Why Noether’s theorem applies to statistical mechanics [PDF]

open access: yesJournal of Physics: Condensed Matter, 2021
Noether’s theorem is familiar to most physicists due its fundamental role in linking the existence of conservation laws to the underlying symmetries of a physical system.
Sophie Hermann, M. Schmidt
semanticscholar   +1 more source

Developments in the Tensor Network — from Statistical Mechanics to Quantum Entanglement [PDF]

open access: yesJournal of the Physical Society of Japan, 2021
Tensor networks (TNs) have become one of the most essential building blocks for various fields of theoretical physics such as condensed matter theory, statistical mechanics, quantum information, and quantum gravity.
K. Okunishi, T. Nishino, H. Ueda
semanticscholar   +1 more source

A condensed-matter analogue of the false vacuum [PDF]

open access: yes, 2021
Through experimental investigation into the behaviour of a polar dielectric working fluid, an ideal ‘quasi-thermodynamic’ cycle has been established.
M. Gibbons
semanticscholar   +1 more source

The Mechanics and Statistics of Active Matter [PDF]

open access: yes, 2010
Active particles contain internal degrees of freedom with the ability to take in and dissipate energy and, in the process, execute systematic movement. Examples include all living organisms and their motile constituents such as molecular motors.
Alberts B   +9 more
core   +3 more sources

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