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Further development of the kinetic many-body concept of large energy fluctuations and rate processes in solids

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  • Khait, Y.L.

Abstract

A new development of the kinetic many-body treatment of the short-lived large energy fluctuation (SLEF) of N0 ≥ 1 heavy particles of classical solids up to ϵ0 ⪢ ϵ0 = 3N0kT and of SLEF-induced rate processes is presented. The finiteness of the SLEF lifetime Δτ ≈ 10−13−10−12 s and that of the energy transfer velocity c0 are put in the basis of this treatment. It is shown that: (i) the SLEF and a single event of the SLEF-induced rate process is a collective non-stationary non-equilibrium phenomenon involving many N1 ⪢ N0 particles located in the small volume of radius l ⪅ c0Δτ; (ii) The SLEF includes advanced phenomena preceding the SLEF peak at τm = 0 and the retarded ones at τR > 0, linked by time inversion; (iii) The newly obtained equations for The SLEF probability W and the rate coefficients K, presented in the Arrhenius form, with prefactors W0 and K0, exponentially dependent on material parameters; (iv) These equations allow narrowing the theory-observation gap in rate processes.

Suggested Citation

  • Khait, Y.L., 1980. "Further development of the kinetic many-body concept of large energy fluctuations and rate processes in solids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 103(1), pages 1-34.
    • Handle: RePEc:eee:phsmap:v:103:y:1980:i:1:p:1-34
    DOI: 10.1016/0378-4371(80)90205-8
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    References listed on IDEAS

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    1. Edholm, O. & Leimar, O., 1979. "The accuracy of Kramers' theory of chemical kinetics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 98(1), pages 313-324.
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