On the time-dependent formulation of analytical continuation in non-equilibrium statistical mechanics

P.V. Coveney and Cl. George

Physica A: Statistical Mechanics and its Applications, 1987, vol. 141, issue 2, 403-426

Abstract: On the basis of the dynamics-of-correlations approach to the solution of the Liouville-von Neumann equation, we develop within the familiar classification of correlations scheme a time-dependent formalism which leads naturally to an analytical continuation procedure, thereby allowing explicit evaluation of each term in the formal series solution. This procedure throws new light on the so-called iϵ-rule, and opens the way to the treatment of the full correlation subdynamics for time-dependent phenomena, which will be discussed in future publications.

Date: 1987
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:141:y:1987:i:2:p:403-426

DOI: 10.1016/0378-4371(87)90173-7

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