Microscopic realization of cross-correlated noise processes

We present a microscopic theory of cross-correlated noise processes, starting from a Hamiltonian system-reservoir description. In the proposed model, the system is nonlinearly coupled to a reservoir composed of harmonic oscillators, which in turn is driven by an external fluctuating force. We show t...

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Bibliographic Details
Published in:Chaos (Woodbury, N.Y.) N.Y.), 2010-06, Vol.20 (2), p.023130-023130-5
Main Authors: Shit, Anindita, Chattopadhyay, Sudip, Banik, Suman Kumar, Chaudhuri, Jyotipratim Ray
Format: Article
Language:English
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Summary:We present a microscopic theory of cross-correlated noise processes, starting from a Hamiltonian system-reservoir description. In the proposed model, the system is nonlinearly coupled to a reservoir composed of harmonic oscillators, which in turn is driven by an external fluctuating force. We show that the resultant Langevin equation derived from the composite system ( system + reservoir + external modulation) contains the essential features of cross-correlated noise processes.
ISSN:1054-1500
1089-7682
DOI:10.1063/1.3454590