Equilibrium of a mesoscopic system in an inhomogeneous space with coordinate dependent damping

International Conference and Exhibition on Mesoscopic & Condensed Matter Physics

June 22-24, 2015 Boston, USA

Arijit Bhattacharyay

Indian Institute of Science Education and Research, India

Posters-Accepted Abstracts: J Material Sci Eng

Abstract :

Complex molecules like proteins, colloids etc can often have conformation dependent damping due to varied proximity of its constituents from each other at different conformational states. The dynamics of such systems in the conformation space, when inequilibrium with a homogeneous heat bath, is a stochastic dynamics with multiplicativenoise. The origin of the multiplicative noise is related to the in homogeneity of the conformation space on top of which there can exist inhomogeneity of space caused by a conservative force field as usual. In this talk, I would show that, the equilibrium distribution of such systems has to be of a modified Maxwell-Boltzmann form where the coordinate dependent damping modifies the standard Maxwell-Boltzmann distribution. I would show an alternative approach to such problems based entirely on the demand of the absence of any current in an in homogeneous space under equilibrium conditions. In this approach, mapping of the multiplicative noise problem to an additive noise one would come out as the prerequisite for equilibrium. The results at the limit of constant damping would be recovered.

Biography :

Arijit Bhattacharyay got his PhD from Jadavpur University, India in 2004 and has done Postdoctoral works at 1. TU Darmstadt, Germany, 2. Padova University, Italy and 3. The University of Warwick, UK. He is presently an Assistant Professor at Indian Institute of Science Education and Research, Pune, India. His interest, in general, is in Statistical and Condensed Matter Physics.

Email: a.bhattacharyay@iiserpune.ac.in