2011
DOI: 10.1103/physrevlett.106.165506
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Nonequilibrium Evolution Thermodynamics of Vacancies

Abstract: An alternative approach, nonequilibrium evolution thermodynamics, is compared with the classical Landau approach. A statistical justification of the approach is done with the help of a probability distribution function on an example of a solid with vacancies. Two kinds of kinetic equations are derived in terms of the internal energy and the modified free energy.

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Cited by 29 publications
(36 citation statements)
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“…As pointed out recently, the generation and motion of structural defects in a solid under severe external action is a complicated process, whose theory is still in its infancy. 11,12 In the following, vacancies are shown to be located in the C-B-C chains and to be boron vacancies only, C-V-C (Fig. 1).…”
Section: Introductionmentioning
confidence: 86%
“…As pointed out recently, the generation and motion of structural defects in a solid under severe external action is a complicated process, whose theory is still in its infancy. 11,12 In the following, vacancies are shown to be located in the C-B-C chains and to be boron vacancies only, C-V-C (Fig. 1).…”
Section: Introductionmentioning
confidence: 86%
“…To describe such oscillation transitions using non equilibrium evolution thermodynamics [12,13], we proposed a certain type of evolution equations with inertia (or memory). To a first approximation, such a model can be applied to describe the phenomena related to the periodicity of deformation fragmenta tion and recrystallization of grains.…”
Section: Evolution Equations With Allowance For Inertiamentioning
confidence: 99%
“…By E π = 0, one indicated natural (nano)colloid-type matter aggregation with absence of an external force field [6], whereas with E π < 0 (hypo-pressure or depressurization effect) one is going to land on fairly coarse-grained material [3,12]. In external shock-pressure conditions nonequilibrium theory of vacancies, addressing the melting phenomenon in terms of (dis)continuous phase transition phenomenological rationale of Landau type, has recently been proposed [22,23].…”
Section: Smoluchowski Dynamics With Hall-petch-griffith Fingerprintmentioning
confidence: 99%