English

Microscopic realization of cross-correlated noise processes

Statistical Mechanics 2010-06-25 v1 Chemical Physics

Abstract

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.

Keywords

Cite

@article{arxiv.1005.5583,
  title  = {Microscopic realization of cross-correlated noise processes},
  author = {Anindita Shit and Sudip Chattopadhyay and Suman Kumar Banik and Jyotipratim Ray Chaudhuri},
  journal= {arXiv preprint arXiv:1005.5583},
  year   = {2010}
}

Comments

5 pages

R2 v1 2026-06-21T15:29:49.560Z