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

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  • Coveney, P.V.
  • George, Cl.

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.

Suggested Citation

  • Coveney, P.V. & George, Cl., 1987. "On the time-dependent formulation of analytical continuation in non-equilibrium statistical mechanics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 141(2), pages 403-426.
    • Handle: RePEc:eee:phsmap:v:141:y:1987:i:2:p:403-426
    DOI: 10.1016/0378-4371(87)90173-7
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    References listed on IDEAS

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    1. Misra, B. & Prigogine, I. & Courbage, M., 1979. "From deterministic dynamics to probabilistic descriptions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 98(1), pages 1-26.
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