Spontaneous collective transport in a heat-bath

Abstract

We investigate emergence of spontaneous filtering of Brownian motion in higher dimensional space by many-body structures of symmetry broken dimers undergoing stochastic evolution through an Itô-process. Interacting dimer form structures, which eventually restrict rotational degrees of freedom of individual constituents, resulting in spontaneous emergence of collective transport. In this phenomenon, interaction and broken structural symmetry play cooperatively in emergence of collective transport out of thermal fluctuations. As a general phenomenon, spontaneous filtering of Brownian fluctuation might play an important role in the structural transition of complex molecules on top of what is known in terms of Kramers-rate process. This could also be a missing link to completely understand basics of bio-polymers’ folding transitions (protein folding) where structure might encode motion in phase space.