The anomalous distributions and Soret coefficient in a nonequilibrium colloid system

TL;DR

This paper investigates the density distributions and Soret coefficient in a nonequilibrium colloidal system with temperature gradients, revealing anomalous distributions and establishing a new theoretical formula linking theory and experiments.

Contribution

It introduces a novel approach connecting nonextensive statistics with colloidal density distributions and derives a new formula for the Soret coefficient.

Findings

Colloidal particles follow alpha- or Tsallis distributions under temperature gradients.

A new formula for the Soret coefficient is derived, bridging theory and experiments.

Density distributions depend on the q-parameter related to nonextensive statistics.

Abstract

The density distributions and Soret coefficient in a nonequilibrium colloidal system with nonuniform temperature are studied by the overdamped Langevin equation for Brownian motion in an inhomogeneous strong friction medium. Based on the relation between the temperature gradient, the interaction potential and the q-parameter in nonextensive statistics, We show that the colloidal particle density can be a function of the temperature and anomalously follows the noted alpha-distribution, or equivalently it can also be a function of the potential energy and follows Tsallis distribution. With the q-parameter we can establish a new formula of the Soret coefficient and thus, bridge the gap between the ideally theoretical Soret coefficient and available experiments.