Showing papers by "Bidhan Chandra Bag published in 2000"
TL;DR: In this article, the authors considered a general N-degrees-of-freedom nonlinear system which is chaotic and dissipative, and showed that the nature of chaotic diffusion is reflected in the correlation of fluctuation of the linear stability matrix for the equation of motion of the dynamical system whose phase space variables behave as stochastic variables in the chaotic regime.
Abstract: We consider a general N-degrees-of-freedom nonlinear system which is chaotic and dissipative, and show that the nature of chaotic diffusion is reflected in the correlation of fluctuation of the linear stability matrix for the equation of motion of the dynamical system whose phase space variables behave as stochastic variables in the chaotic regime. Based on a Fokker-Planck description of the system in the associated tangent space and an information entropy balance equation, a relationship between chaotic diffusion and the thermodynamically inspired quantities such as entropy production and entropy flux is established. The theoretical propositions have been verified by numerical experiments.
12 citations
TL;DR: It is established that the drift and the diffusion coefficients can be related through a set of stochastic parameters that characterize the steady state of the dynamical system in a way similar to the fluctuation-dissipation relation in nonequilibrium statistical mechanics.
Abstract: We consider a general N-degree-of-freedom dissipative system that exhibits chaotic behavior. Based on a Fokker-Planck description associated with the dynamics, we establish that the drift and the diffusion coefficients can be related through a set of stochastic parameters that characterize the steady state of the dynamical system in a way similar to the fluctuation-dissipation relation in nonequilibrium statistical mechanics. The proposed relationship is verified by numerical experiments on a driven double-well system.
10 citations
TL;DR: In this article, the weak quantum noise limit of the Wigner equation for phase space distribution functions was examined and it was shown that the leading order quantum noise described in terms of an auxiliary Hamiltonian manifests itself as an additional fluctuational degree of freedom which may induce chaotic and regular oscillations in a nonlinear oscillator.
Abstract: We examine the weak quantum noise limit of the Wigner equation for phase space distribution functions. It has been shown that the leading order quantum noise described in terms of an auxiliary Hamiltonian manifests itself as an additional fluctuational degree of freedom which may induce chaotic and regular oscillations in a nonlinear oscillator.
9 citations
TL;DR: In this paper, the interplay of nonlinearity of a dynamical system and thermal fluctuation of its environment in the "physical limit" of small damping and slow diffusion in a semiclassical context is examined.
Abstract: We examine the interplay of nonlinearity of a dynamical system and thermal fluctuation of its environment in the "physical limit" of small damping and slow diffusion in a semiclassical context and show that the trajectories of c-number variables exhibit dynamical chaos due to the thermal fluctuations of the bath.
3 citations
TL;DR: In this article, the weak noise limit of an overdamped dissipative system within a semiclassical description was examined and quantization effects the growth and decay of fluctuations of the thermally equilibrated systems.
Abstract: 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 thermally equilibrated systems. We trace its origin in a semiclassical counterpart of the generalized potential for the dissipative system.
3 citations
TL;DR: In this paper, the weak noise limit of an overdamped dissipative system within a semiclassical description was examined and quantization effects the growth and decay of fluctuations of the thermally equilibrated systems.
Abstract: 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 thermally equilibrated systems. We trace its origin in a semiclassical counterpart of the generalized potential for the dissipative system.