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TMF, 1974 Volume 19, Number 3, Pages 414–422 (Mi tmf3598)

Construction of quasiclassical approximation for transport coefficients in linear response theory

A. N. Lagar'kov, V. M. Sergeev


Abstract: The quantum expression for the static conductivity is expanded in powers of $\hbar$. The result is readily generalized for expansions in powers of $\hbar$ of the coefficients of viscosity and thermal conductivity. The expansion coefficients are represented in the form of time integrals, averaged over the classical Gibbs distribution, of the derivatives of the potential along the classical paths of the system. The result is given in a form convenient for calculation by the method of molecular dynamics.

Received: 06.12.1972


 English version:
Theoretical and Mathematical Physics, 1974, 19:3, 610–615


© Steklov Math. Inst. of RAS, 2026