Arijit Bhattacharyay

Research Interests

My broader area of interest is Statistical and condensed matter physics. At present, I am working mostly on coordinate-dependent diffusion to understand its implications for particle transport and self-organisation. Brownian motion is the basis of diffusion in a heat bath, and Einstein developed the physical theory of Brownian motion in 1905. However, even after more than a century, Brownian motion and diffusion as its consequence remain a widely debated area when diffusion is coordinate-dependent. The main reason for this controversy is a half-truth often mentioned, that diffusion evens out concentration inhomogeneities. Where the truth is, homogeneous diffusion evens out concentration inhomogeneities. However, notions based on half-truths have apparently led to the abandonment of the Itô convention for multiplicative-noise stochastic problems, mostly in the physics literature. The focus of my present work in statistical physics is on these issues. Beyond this, I am presently working on a spinor Bose-Einstein condensate, particle transport by thermophoresis and some non-linear dynamical systems. Previously, I have worked on pattern formation in reaction-diffusion systems, resistive transitions in one-dimensional superconductors, protein folding, analogue gravity, etc.

Publications

Publications