Emergence of Sinai physics in the stochastic motion of passive and active particles

@article{Shapira2022EmergenceOS,
  title={Emergence of Sinai physics in the stochastic motion of passive and active particles},
  author={Dekel Shapira and Doron Cohen},
  journal={New Journal of Physics},
  year={2022},
  volume={24}
}
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. Follow-up 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. Tight-binding and…