Showing papers by "Bidhan Chandra Bag published in 2008"
TL;DR: The authors' simulation results show that colored noise enhances the tendency of cluster formation and in the long time limit the cluster number in the aggregation process exhibits depletion with time following a power law with an exponent which increases remarkably with non-Markovian character of the noise processes.
Abstract: In this paper we have explored a model for self-induced aggregation of Brownian particles incorporating non-Markovian and non-Gaussian character of the associated random noise processes. The time evolution of each individual is guided by an overdamped Langevin equation of motion with a nonlocal drift arising out of the imbalance in the local distribution of the other individuals. Our simulation results show that colored noise enhances the tendency of cluster formation. Another observation is that the critical noise variance decreases at first with increase in noise correlation time followed by an increase after exhibiting a minimum. Furthermore, in the long time limit the cluster number in the aggregation process exhibits depletion with time following a power law with an exponent which increases remarkably with non-Markovian character of the noise processes.
15 citations
TL;DR: In this article, the authors studied the time evolution of the entropy of a harmonic oscillator driven by colored noise using the Fokker-Planck description of the stochastic process.
Abstract: We discuss the time evolution of the entropy (S) of a harmonic oscillator driven by colored noise. Our analysis is based on the Fokker–Planck description of the stochastic process. For all noise colors, the rate dS/dt, and its upper bound UB, monotonically decay to zero with time. The decay is determined by the rate of phase space contraction, which in turn depends on the noise spectrum. The dependence of dS/dt and UB on the damping strength for various noise colors is studied in detail. The role of the noise correlation time in the present context has been studied for different colored noises.
5 citations
TL;DR: The interplay of deterministic and random forces reveals non-monotonic behavior in the variation of the information entropy with damping constant in noise driven open systems.
Abstract: In this paper we have studied information entropy and its time derivative for colored cross-correlated noise driven open systems. These quantities are calculated based on the Fokker–Planck description of stochastic processes. Our results consider the effect of the noise correlation strength and correlation time due to the correlation between additive and multiplicative white noises on the information entropy as well as relaxation time. The interplay of deterministic and random forces reveals non-monotonic behavior in the variation of the information entropy with damping constant.
4 citations