Emergence of Sinai Physics in the stochastic motion of passive and active particles
Abstract
A particle that is immersed in a uniform temperature bath performs Brownian diffusion, as discussed by Einstein. But Sinai has realized that in a "random environment" the diffusion is suppressed. Followup works have pointed out that in the presence of bias $f$ there are delocalization and sliding transitions, with threshold value $f_c$ that depends on the disorder strength. We discuss in a critical way the emergence of Sinai physics for both passive and active Brownian particles. Tightbinding and FokkerPlanck versions of the model are addressed on equal footing. We assume that the transition rates between sites are enhanced either due to a driving mechanism or due to selfpropulsion mechanism that are induced by an irradiation source. Consequently, counter intuitively, the dynamics becomes subdiffusive and the relaxation modes become overdamped. For a finite system, spontaneous delocalization may arise, due to residual bias that is induced by the irradiation.
 Publication:

arXiv eprints
 Pub Date:
 June 2021
 arXiv:
 arXiv:2106.08707
 Bibcode:
 2021arXiv210608707S
 Keywords:

 Condensed Matter  Statistical Mechanics;
 Condensed Matter  Disordered Systems and Neural Networks;
 Condensed Matter  Soft Condensed Matter
 EPrint:
 11 pages, 4 figures