The relevance of chaos for the linear response theory

M. Falcioni and A. Vulpiani

Physica A: Statistical Mechanics and its Applications, 1995, vol. 215, issue 4, 481-494

Abstract: We discuss the van Kampen objection, about the range of validity of the linear response theory; we show that, in chaotic systems, the instability of the dynamics has a constructive role. For any system with good chaotic properties, a fluctuation response relation holds at macroscopic times, because the relevant perturbative parameter is tc·⋎f⋎, where tc is a correlation time and ⋎f⋎ the strength of the external force. Nevertheless, the van Kampen criticism has relevant consequences on the feasibility of numerical experiments.

Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:215:y:1995:i:4:p:481-494

DOI: 10.1016/0378-4371(94)00277-Z

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