Abstract
Abstract This is a chapter dedicated to a very special topic of theoretical physics and statistical mechanics: the role of chaos in the foundation of laws of statistical mechanics. Any kind of a physical object, particle, or field can be described by the corresponding equations, Newton equation, Maxwell equations, etc. These equations are reversible in time and fully deterministic, i.e. there exists a unique solution (trajectory) at any time instant t > 0 if some initial conditions are given at t = 0. How, when, and why can an ensemble of a large number of such objects be described in a statistical or probabilistic way, with time irreversible equations, growth of entropy, relaxation to the equilibrium, and other features of the kinetics? The question implies two sides of the problem: one formal and one real.
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