67 citations · 845 across the 53 of their papers we have counts for
20 papers · 1 filter
Stochastic dynamics of two-step processes with harmonic potential
Jyotipriya Roy, Chitrak Bhadra, Debapriya Das +2
In this paper we address the one-dimensional problem of stochastic renewal in different damping environments. An ensemble of particles with some specified initial distribution in p…
Inhomogeneous quantum diffusion and decay of a meta-stable state
Pulak Kumar Ghosh, Debashis Barik, Deb Shankar Ray
We consider the quantum stochastic dynamics of a system whose interaction with the reservoir is considered to be linear in bath co-ordinates but nonlinear in system co-ordinates. T…
Langevin dynamics with dichotomous noise; direct simulation and applications
Debashis Barik, Pulak Kumar Ghosh, Deb Shankar Ray
We consider the motion of a Brownian particle moving in a potential field and driven by dichotomous noise with exponential correlation. Traditionally, the analytic as well as the n…
Quantum escape kinetics over a fluctuating barrier
Pulak Kumar Ghosh, Debashis Barik, Bidhan Chandra Bag +1
The escape rate of a particle over a fluctuating barrier in a double well potential exhibits resonance at an optimum value of correlation time of fluctuation. This has been shown t…
Noise-induced transition in a quantum system
Pulak Kumar Ghosh, Debashis Barik, Deb Shankar Ray
We examine the noise-induced transition in a fluctuating bistable potential of a driven quantum system in thermal equilibrium. Making use of a Wigner canonical thermal distribution…
Quantum state-dependent diffusion and multiplicative noise: a microscopic approach
Debashis Barik, Deb Shankar Ray
The state-dependent diffusion, which concerns the Brownian motion of a particle in inhomogeneous media has been described phenomenologically in a number of ways. Based on a system-…
Noise-induced quantum transport
Pulak Kumar Ghosh, Debashis Barik, Deb Shankar Ray
We analyze the problem of directed quantum transport induced by external exponentially correlated telegraphic noise. In addition to quantum nature of the heat bath, nonlinearity of…
Quantum phase space function formulation of reactive flux theory
Debashis Barik, Suman Kumar Banik, Deb Shankar Ray
On the basis of a coherent state representation of quantum noise operator and an ensemble averaging procedure a scheme for quantum Brownian motion has been proposed recently [Baner…
A numerical method for generation of quantum noise and solution of generalized c-number quantum Langevin equation
Dhruba Banerjee, Bidhan Chandra Bag, Suman Kumar Banik +1
Based on a coherent state representation of noise operator and an ensemble averaging procedure we have recently developed [Phys. Rev. E {\bf 65}, 021109 (2002); {\it ibid.} 051106…
Quantum Kramers' equation for energy diffusion and barrier crossing dynamics in the low friction regime
Dhruba Banerjee, Suman Kumar Banik, Bidhan Chandra Bag +1
Based on a true phase space probability distribution function and an ensemble averaging procedure we have recently developed [Phys. Rev. E 65, 021109 (2002)] a non-Markovian quantu…
The noise properties of stochastic processes and entropy production
Bidhan Chandra Bag, Suman Kumar Banik, Deb Shankar Ray
Based on a Fokker-Planck description of external Ornstein-Uhlenbeck noise and cross-correlated noise processes driving a dynamical system we examine the interplay of the properties…
Fluctuations and the existence of potential in dissipative semiclassical systems
Bidhan Chandra Bag, Deb Shankar Ray
We examine the weak noise limit of an overdamped dissipative system within a semiclassical description and show how quantization influences the growth and decay of fluctuations of…
The generalized Kramers' theory for an external noise driven bath
Jyotipratim Ray Chaudhuri, Suman Kumar Banik, Deb Shankar Ray
We consider a system-reservoir model where the reservoir is modulated by an external noise. Both the internal noise of the reservoir and the external noise are stationary, Gaussian…
The generalized Kramers' theory for nonequilibrium open one-dimensional systems
Suman Kumar Banik, Jyotipratim Ray Chaudhuri, Deb Shankar Ray
The Kramers' theory of activated processes is generalized for nonequilibrium open one-dimensional systems. We consider both the internal noise due to thermal bath and the external…
Barrier crossing induced by very slow external noise
Suman Kumar Banik, Jyotipratim Ray Chaudhuri, Deb Shankar Ray
We consider the motion of a particle in a force field subjected to adiabatic, fluctuations of external origin. We do not put the restriction on the type of stochastic process that…
A simple semiclassical approach to Kramers' problem
Jyotipratim Ray Chaudhuri, Bidhan Chandra Bag, Deb Shankar Ray
We show that Wigner-Leggett-Caldeira equation for Wigner phase space distribution function which describes the quantum Brownian motion of a particle in a force field in a high teme…
Adiabatic noise-induced escape rate for nonequilibrium open systems
Suman Kumar Banik, Jyotipratim Ray Chaudhuri, Deb Shankar Ray
We consider the motion of an overdamped particle in a force field in presence of an external, adiabatic noise, without the restriction that the noise process is Gaussian or the sto…
Theory of non-stationary activated rate processes : nonexponential relaxation kinetics
Jyotipratim Ray Chaudhuri, Gautam Gangopadhyay, Deb Shankar Ray
We have explored a simple microscopic model to simulate a thermally activated rate process where the associated bath which comprises a set of relaxing modes is not in an equilibriu…
Theory of Adiabatic fluctuations : third-order noise
S. K. Banik, J. R. Chaudhuri, D. S. Ray
We consider the response of a dynamical system driven by external adiabatic fluctuations. Based on the `adiabatic following approximation' we have made a systematic separation of t…
Linear systems with adiabatic fluctuations
S. K. Banik, D. S. Ray
We consider a dynamical system subjected to weak but adiabatically slow fluctuations of external origin. Based on the ``adiabatic following'' approximation we carry out an expansio…