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States of Classical Statistical Mechanics

Journal of Mathematical Physics, 1967
A state of an infinite system in classical statistical mechanics is usually described by its correlation functions. We discuss here other descriptions in particular: as (1) a state on a B* algebra; (2) a collection of density distributions; (3) a field theory; (4) a measure on a ``space of configurations of infinitely many particles.'' We consider the ...
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Classical Statistical Mechanics

2015
According to classical mechanics, equations of motion supplemented by initial conditions uniquely determine the subsequent evolution of a given system. For typical systems of our interest, however, the number of mechanical degrees of freedom is of the order of 1024. One cannot possibly write down 1024 equations of motion, much less solve them.
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Classical Statistical Mechanics

1999
Statistical mechanics poses the problem of deducing macroscopic properties of matter from the atomic hypothesis. According to the hypothesis matter consists of atoms or molecules that move subject to the laws of classical mechanics or of quantum mechanics.
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From classical statistics to geostatistics

, 2015
J. Montero   +2 more
semanticscholar   +1 more source

Biometric face recognition: from classical statistics to future challenges

, 2013
G. Givens   +5 more
semanticscholar   +1 more source

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