Mixing Classical mechanical system that is ergodic and possesses additional properties associated with relaxation. [Pg.118]

Such a system is then as ergodic as, for example, a classical gas, only the mechanisms of ergodicity are different (in one case elastic collisions, in the other decay of excited states through induced and spontaneous emission). [Pg.13]

In classical mechanics, an alternate definition of ergodicity is to say that (in the Koopman formalism, see in particular Arnold-Avez) a system is ergodic if the projector [Pg.339]

A RRKM unimolecular system obeys the ergodic principle of statistical mechanics [337]. A quantity of more utility than N t), for analyzing the classical dynamics of a micro-canonical ensemble, is the lifetime distribution Pc t), which is defined by [Pg.207]

The spontaneous emission in atomic problems and the decay of unstable particles are irreversible processes which manifest the ergodicity of these systems. It is therefore interesting to compare the mechanism of irreversibility which is involved to that in the usual many-body systems such as a classical gas. [Pg.14]

The equivalence of these two averages is the essence of a very important system property called ergodicity, which deserves a separate subsection further in this chapter. pA hat is used here to emphasize that, in quantum mechanics, the Hamiltonian is an operator acting on the h function and not just a function of particle coordinates and momenta, as in classical mechanics. [Pg.19]

Chapter 1 introduces basic elements of polymer physics (interactions and force fields for describing polymer systems, conformational statistics of polymer chains, Flory mixing thermodynamics. Rouse, Zimm, and reptation dynamics, glass transition, and crystallization). It provides a brief overview of equilibrium and nonequilibrium statistical mechanics (quantum and classical descriptions of material systems, dynamics, ergodicity, Liouville equation, equilibrium statistical ensembles and connections between them, calculation of pressure and chemical potential, fluctuation [Pg.607]

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