6 papers · 1 filter
Resonance and limit cycle in a noise driven Lorenz model
Himadri S. Samanta, J. K. Bhattacharjee
The effect of an external noise on the Lorenz model is investigated near the onset of convection and near the Hopf bifurcation. We show the existence of a diverging time scale near…
Diffusion in Modulated Media
Himadri S. Samanta
We study the motion of Brownian particle in modulated media in the strong damping limit by using {\em toy model}, with special emphasis on the transition from localise to diffusive…
Brownian Motion - Past and Present
J. K. Bhattacharya, Dipanjan Chakraborty, Himadri Shekar Samanta
We discuss Brownian Motion from a more elementary viewpoint presented by Einstein in 1908. Later developments and applications are briefly reviewed.
Fokker-Planck Equation : Long-Time Dynamics in Approach to Equilibrium
Himadri S. Samanta, J. K. Bhattacharjee
We discuss the approach to equilibrium of systems governed by the Fokker-Planck equation. In particular, we focus on problems involving barrier penetration and the associated Krame…
Growth Models and Models of Turbulence : A Stochastic Quantization Perspective
Himadri S. Samanta, J. K. Bhattacharjee, D. Gangopadhyay
We consider a class of growth models and models of turbulence based on the randomly stirred fluid. The similarity between the predictions of these models, noted a decade earlier, i…
Non equilibrium statistical physics with fictitious time
Himadri S. Samanta, J. K. Bhattacharjee
Problems in non equilibrium statistical physics are characterized by the absence of a fluctuation dissipation theorem. The usual analytic route for treating these vast class of pro…