arXiv subjects

Somendra M Bhattacharjee

Publications and source records attributed to Somendra M Bhattacharjee.

3 recordsLinked to original sources

arXiv2016

Use of Topology in physical problems

Some of the basic concepts of topology are explored through known physics problems. This helps us in two ways, one, in motivating the definitions and the concepts, and two, in showing that topological analysis leads to a clearer understanding of the problem. The problems discussed are taken from classical mechanics, quantum mechanics, statistical mechanics, solid state physics, and biology (DNA), to emphasize some unity in diverse areas of physics. It is the real Euclidean space, $R^d$, with which we are most familiar. Intuitions can therefore be sharpened by appealing to the relevant features of this known space, and by using these as simplest examples to illustrate the abstract topological concepts. This is what is done in this chapter.

cond-mat.other↗

arXiv2013

Dynamical phase transition of a periodically driven DNA

Replication and transcription are two important processes in living systems. To execute such processes, various proteins work far away from equilibrium in a staggered way. Motivated by this, aspects of hysteresis during unzipping of DNA under a periodic drive in non-equilibrium conditions are studied. A steady state phase diagram of a driven DNA is proposed which is experimentally verifiable. As a two state system, we also compare the results of DNA with that of an Ising magnet under an asymmetrical variation of magnetic field.

cond-mat.soft↗

arXiv2009

Transverse diffusion induced phase transition in asymmetric exclusion process on a surface

We extend one dimensional asymmetric simple exclusion process (ASEP) to a surface and show that the effect of transverse diffusion is to induce a continuous phase transition from a constant density phase to a maximal current phase as the forward transition probability $p$ is tuned. The signature of the nonequilibrium transition is in the finite size effects near it. The results are compared with similar couplings operative only at the boundary. It is argued that the nature of the phases can be interpreted in terms of the modifications of boundary layers.

cond-mat.stat-mech↗