Memory Effects in Dynamical Many-Body Systems: The Isomnesic (Constant-Memory) Approximation.

Abstract

Exact numerical solutions of a generalized master equation for a system involving a temporally localized memory kernel and a constant one are presented. Comparison with an isomnesic (constant-memory) approximation, with the memory kernel reduced to the sum of a local and a constant term, gives excellent agreement. A Markovian version of the problem is also described and found to be inherently ambiguous, devoid of significant physical features seen in the transient regions, but leading to the same steady-state as the isomnesic approximation. Keywords include: Many-bodied systems, Generalized master equation, memory effects, Isomnesic approximation, Agreement with exact results, Improvement on markovian approximation.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1985
Accession Number
ADA154160

Entities

People

  • A. C. Beri
  • Thomas F. George

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  • University of Rochester

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  • Computational Fluid Dynamics (CFD)
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.