The Langevin equation for a Brownian particle, in contact with a heat bath which offers state dependent friction, is considered to study the directed motion in presence of two external correlated noises. The effects of correlation on transport of the Brownian particle in a symmetric periodic potential is studied and it has been found that the steady state current increases with increase in the degree of correlation. This property suggests that by controlling the degree of correlation one can enhance the current in a properly designed experiment. © the Owner Societies.

PINAKI CHAUDHURY

Chemistry

B MUKHERJEE

S CHATTOPADHYAY

CHAUDHURI J RAY

University of Calcutta (informally known as Calcutta University or CU) is a collegiate public state university located in Kolkata, West Bengal, India.&nbsp;Within India it is recognized as a &quot;Five-Star University&quot; and accredited &quot;A&quot; Grade by National Assessment and Accreditation Council.

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The University of Calcutta has secured the Fifth position among the Universities of India in the prestigious &quot;Indian University Ranking 2019&quot; list, released by the NIRF of the Ministry of Human Resource Development, Government of India.

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It was established on 24 January 1857, and was one of the first institutions in Asia to be established as a multidisciplinary and Western-style university. Its alumni and faculty include several heads of state, heads of government, social reformers, prominent artists, only academy award winner and Dirac medal winner in India, many Fellows of the Royal Society and five Nobel laureates as of 2019 which is highest in South Asia.

University Of Calcutta

Physical Chemistry Chemical Physics

We develop, invoking a suitable system-reservoir model, the Langevin equation with a state-dependent dissipation associated with a quantum Brownian particle submerged in a heat bath that offers a state-dependent friction to study the directed motion (by studying the phase-induced current) in the presence of an external noise. We study the phase induced current when both system and bath are subjected to external modulation by the noise and thereby expose the system to two cross-correlated noises. We also demonstrate the well-known fact that two noises remain mutually correlated if they share a common origin. We study the effects of correlation on the current in a periodic potential and envisage that the steady state current increases with increase in the extent of correlation, implying that exercising control on the degree of correlation can enhance the current in a properly designed experiment. To establish our model, we analyze numerically the effect of the external noise on system and bath separately as well as on composition of both. © 2011 American Institute of Physics.

Fulltext

Journal of Mathematical Physics

Phase induced transport of a Brownian particle in a periodic potential in the presence of an external noise: A semiclassical treatment

Physical Review E

Generalization of the escape rate from a metastable state driven by external cross-correlated noise processes

Dynamics of a metastable state nonlinearly coupled to a heat bath driven by external noise

Journal of Physics A: Mathematical and General

The effect of interference of coloured additive and multiplicative white noises on escape rate

Effects of cross correlation on the relaxation time of a bistable system driven by cross-correlated noise

Correlated noise in a logistic growth model

Effect of correlated noises on directed motion

Journal	Physical Chemistry Chemical Physics
Publisher	ROYAL SOC CHEMISTRY
ISSN	1463-9076