arXiv subjects

Proma Mondal

Publications and source records attributed to Proma Mondal.

2 recordsLinked to original sources

arXiv2020

Understanding the fate of corona virus transmission using a simple model

We propose a simple model for understanding the kinetics of corona virus transmission. Our model assume spreading of corona virus can happen from one to another only, if someone without enough protection comes close contact to a person carrying the corona virus. Therefore this virus spreads on a large scale within a short time through chains of such events. Using our model we provide an estimation of the number of people affected by this virus within reasonable duration of time. We choose values of different parameters of our model by non-linear least square fit of the real time data and we predict fate of this corona virus transmission using our model.

q-bio.PE↗

arXiv2020

Exact results on diffusion in a piecewise linear potential with a rectangular sink

We propose a new method for finding the exact analytical solution in Laplace domain for the problem where the probability density of a random walker in a piece-wise linear potential in presence of a rectangular sink of arbitrary width and height. The motion of the random walker is modelled by using Smoluchowski equation. For our model we have derived exact analytical expression for rate constants. This is the first model where the exact analytical solution in closed form is possible in the case of a sink of arbitrary width for position dependent potential. This model is better for understanding reaction-diffusion systems than all other existing models available in literature.

cond-mat.stat-mech↗