3 papers
cond-mat.stat-mech2026
Einstein's theory of Brownian motion: The non-Fickian normal diffusion
A. Bhattacharyay
Einstein's theory of diffusion defines what is considered {\it normal diffusion}. Historically, Einstein considered homogeneous diffusion characterised by a diffusion constant in h…
cond-mat.soft2026
A model of thermophoresis of colloidal proteins in water using non-Fickian diffusion currents
Mayank Sharma, Angad Singh, A. Bhattacharyay
In 1928, Chapman generalised Einstein's theory of diffusion for non-uniform fluids to show the presence of a non-Fickian diffusion current, which he considered important in thermod…
cond-mat.stat-mech2024
Entropic pulling and diffusion diode in an Itô process
Mayank Sharma, A. Bhattacharyay
Biological environments at micrometer scales and below are often crowded, and experience incessant stochastic thermal fluctuations. The presence of membranes/pores, and multiple bi…