4 papers
Transition time estimation for -function coupling in two state problem: An analytically solvable model
Mayank Vashistha, Chinmoy Samanta, Aniruddha Chakraborty
We propose a simple method to calculate transition time in a two-state scattering problem, where two constant potentials are coupled by a delta function potential $V_{12}=V_{21}=k_…
Reaction-diffusion dynamics through a Gaussian sink in the presence of an attractive stepwise linear potential energy curve
Chinmoy Samanta, Aniruddha Chakraborty
In the present report, we have introduced the Fredholm integral method to solve the Smoluchowski equation in the Laplace domain. We get an exact semi-analytical solution for the li…
Reaction-Diffusion dynamics in presence of active barrier: Pinhole sink
Chinmoy Samanta
In this article, we give a semi-analytic expression for survival probability when particles are diffusing in an active potential well. There is no analytic solution available in th…
A new approach in an analytical method for diffusion dynamics for the presence of delocalized sink in a potential well: Application to different potential curves
Chinmoy Samanta
We provide a new approach to solve one dimension Fokker-Planck equation in the Laplace domain for the case where a particle is evolving in a potential energy curve in the presence…