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Approximate linear response for slow variables of dynamics with explicit time scale separation
Authors:Rafail V Abramov
Institution:Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago, 851 S. Morgan St., Chicago, IL 60607, USA
Abstract:Many real-world numerical models are notorious for the time scale separation of different subsets of variables and the inclusion of random processes. The existing algorithms of linear response to external forcing are vulnerable to the time scale separation due to increased response errors at fast scales. Here we develop the approximate linear response algorithm for slow variables in a two-scale dynamical system with explicit separation of slow and fast variables, which has improved numerical stability and reduced computational expense.
Keywords:Linear response  Fluctuation&ndash  dissipation theorem  Multiscale dynamics
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