We show how the variational principle for Gibbs States (which says that for the d{ dimensional cubic lattice, the set of translation invariant Gibbs States is the same as the set of translation invariant measures which maximize entropy minus energy and moreover that this quantity corresponds to the pressure) fails for nearest neighbor nite state statistical mechanical systems on the homogeneous...

We study the entropy time evolution of a quantum mechanical model, which is frequently used as a prototype for Anderson's localization. Recently Latora and Baranger [Phys. Rev. Lett. 82, 520 (1999)] found that there exist three entropy regimes, a transient regime of passage from dynamics to thermodynamics, a linear-in-time regime of entropy increase, that is, a thermodynamic regime of Kolmogoro...

Following the paradigm of Boltzmann-BBGKY we propose a correlation entropy (of the nth order) for an interacting quantum field, obtained by ‘slaving’ (truncation with causal factorization) of the higher (n+1 th) order correlation functions in the Schwinger-Dyson system of equations. This renders an otherwise closed system effectively open where dissipation arises. The concept of correlation ent...

We demonstrate how Sakharov’s idea of induced gravity allows one to explain the statistical-mechanical origin of the entropy of a black hole. According to this idea, gravity becomes dynamical as the result of quantum effects in the system of heavy constituents of the underlying theory. The black hole entropy is related to the properties of the vacuum in the induced gravity in the presence of th...

A brief analysis of the work on changing mechanical properties high-energy alloy (HEA) Cantor CoCrFeMnNi in various ways has been performed. The article describes influence alloying with aluminum, vanadium, manganese, titanium, silicon, carbon, copper hardening wind turbines obtained by vacuum arc melting, laser melting and drip casting, subsequent plasma sintering, gas sputtering followed shoc...

the estimate of entropy (sample entropy), has been introduced by vasicek (1976), for the first time. in this paper, we provide an estimate of entropy of order statistics, that is the extention of the entropy estimate. then we present an application of the entropy estimate of order statistics as a test statistic for symmetry of distribution versus skewness. the proposed test has been compared wi...

In high-energy hevy-ion collisons a sigifi cant amount of entropy can be produced merely by the decoherence of the individual nuclear multi-particle states. We argue that the time scales on which this happens are much shorter than 1 fm/c. Decoherence can therefore explain the very rapid onset of a behaviour which resembles that of a thermalised state of matter. The mechanisms responsible for th...