Emergence of Sinai Physics in the stochastic motion of passive and active particles
arXiv:2106.08707 · doi:10.1088/1367-2630/ac7609
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. Follow-up works have pointed out that in the presence of bias there are delocalization and sliding transitions, with threshold value 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 Fokker-Planck 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 self-propulsion mechanism that are induced by an irradiation source. Consequently, counter intuitively, the dynamics becomes sub-diffusive and the relaxation modes become over-damped. For a finite system, spontaneous delocalization may arise, due to residual bias that is induced by the irradiation.
arXiv comment25 pages, 4 figures
References in corpus (22)
- Artificial Brownian motors: Controlling transport on the nanoscale
- Localization transitions in non-Hermitian quantum mechanics
- Vortex Pinning and Non-Hermitian Quantum Mechanics
- Tuned, driven, and active soft matter
- Non-Hermitean Localization and De-Localization
- Self-assembly of micro-machining systems powered by Janus micro-motors
- Active Matter Transport and Jamming on Disordered Landscapes
- Dynamics of Molecular Motors and Polymer Translocation with Sequence Heterogeneity
- Winding Numbers, Complex Currents, and Non-Hermitian Localization
- Optimized Diffusion of Run-and-Tumble Particles in Crowded Environments
- Creep in One Dimension and Phenomenological Theory of Glass Dynamics
- Velocity and diffusion constant of an active particle in a one dimensional force field
- Avalanche Dynamics for Active Matter in Heterogeneous Media
- Negative Differential Mobility and Trapping in Active Matter Systems
- Active Matter Commensuration and Frustration Effects on Periodic Substrates
- Ramifications of disorder on active particles in one dimension
- Dynamics of Molecular Motors with Finite Processivity on Heterogeneous Tracks
- Clogging, Dynamics and Reentrant Fluid for Active Matter on Periodic Substrates
- Percolation, sliding, localization and relaxation in topologically closed circuits
- Localization due to topological stochastic disorder in active networks
- The relaxation rate of a stochastic spreading process in a closed ring
- Non-equilibrium steady state and induced currents of a mesoscopically-glassy system: interplay of resistor-network theory and Sinai physics