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Fractional statistical mechanics [PDF]
The Liouville and first Bogoliubov hierarchy equations with derivatives of noninteger order are derived. The fractional Liouville equation is obtained from the conservation of probability to find a system in a fractional volume element. This equation is used to obtain Bogoliubov hierarchy and fractional kinetic equations with fractional derivatives ...
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Statistical Mechanics of Nonequilibrium Liquids [PDF]
"There is a symbiotic relationship between theoretical nonequilibrium statistical mechanics on the one hand and the theory and practice of computer simulation on the other.
Evans, Denis J +8 more
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From Relativistic Mechanics towards Relativistic Statistical Mechanics
Till now, kinetic theory and statistical mechanics of either free or interacting point particles were well defined only in non-relativistic inertial frames in the absence of the long-range inertial forces present in accelerated frames.
Luca Lusanna
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Stochastic thermodynamics of all-to-all interacting many-body systems
We provide a stochastic thermodynamic description across scales for N identical units with all-to-all interactions that are driven away from equilibrium by different reservoirs and external forces.
Tim Herpich +3 more
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Thermodynamic efficiency in dissipative chemistry
Open chemical systems operate out of equilibrium, providing more opportunities than closed systems, but a theoretical framework to describe their performance is lacking. Here, the authors assess the efficiency of two classes of dissipative processes with
Emanuele Penocchio +2 more
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Justifying Typicality Measures of Boltzmannian Statistical Mechanics and Dynamical Systems [PDF]
A popular view in contemporary Boltzmannian statistical mechanics is to interpret the measures as typicality measures. In dynamical systems theory measures can similarly be interpreted as typicality measures.
Werndl, Charlotte
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Negative differential response in chemical reactions
Reaction currents in chemical networks usually increase when increasing their driving affinities. But far from equilibrium the opposite can also happen. We find that such negative differential response (NDR) occurs in reaction schemes of major biological
Gianmaria Falasco +3 more
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Introduction to Statistical Mechanics of Charged Systems [PDF]
The paper is the summary of lectures given in São Carlos, Brazil during the 2004 Summer School on Statistical Mechanics. My objective was to provide the students with some basic tools necessary to study the thermodynamics of Coulomb systems.
Levin, Yan, Yan Levin, Levin,Yan
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Semiclassical statistical mechanics [PDF]
Invited talk at the La Plata meeting on `Trends in Theoretical Physics', La Plata, April, 1997; 14 pages + 5 ps figures.
de Carvalho, C. A. A., Cavalcanti, R. M.
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Closed Trans-Scale Statistical Microdamage Mechanics [PDF]
Damage and failure due to distributed microcracks or microvoids are on the challenging frontiers of solid mechanics. This appeals strongly to tools not yet fully developed in continuum damage mechanics, in particular to irreversible statistical ...
李晖凌 +4 more
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