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Stochastic resonance; fluctuation theorem.

We study the fluctuations of work done and dissipated heat of a Brownian particle in a symmetric double well system. The system is driven by two periodic input signals that rock the potential simultaneously. Confinement in one preferred well can be achieved by modulating the relative phase between the drives. We show that in the presence of pumping the stochastic resonance signal is enhanced when analysed in terms of the average work done on the system per cycle. This is in contrast with the case when pumping is achieved by applying an external static bias, which degrades resonance. We analyse the nature of work and heat fluctuations and show that the steady state fluctuation theorem holds in this system.

Navinder Singh¹ Sourabh Lahiri¹ A M Jayannavar¹

1. Institute of Physics, Sachivalaya Marg, Bhubaneswar 751 005, India

Published

March 2010

Manuscript received

24 December 2008

Manuscript revised

14 October 2009

Accepted

27 October 2009