Active velocity processes with suprathermal stationary distributions and long-time tails
arXiv:1912.10780 · doi:10.1103/PhysRevE.101.062130
Abstract
When a particle moves through a spatially-random force field, its momentum may change at a rate which grows with its speed. Suppose moreover that a thermal bath provides friction which gets weaker for large speeds, enabling high-energy localization. The result is a unifying framework for the emergence of heavy tails in the velocity distribution, relevant for understanding the power-law decay in the electron velocity distribution of space plasma or more generally for explaining non-Maxwellian behavior of driven gases. We also find long-time tails in the velocity autocorrelation, indicating persistence at large speeds for a wide range of parameters and implying superdiffusion of the position variable.
arXiv comment20 pages, 7 figures
References in corpus (19)
- Active Particles in Complex and Crowded Environments
- Active Brownian Particles. From Individual to Collective Stochastic Dynamics
- Active matter
- Velocity statistics in excited granular media
- Run-and-tumble particle in one-dimensional confining potential: Steady state, relaxation and first passage properties
- Lattice Models of Nonequilibrium Bacterial Dynamics
- The Formation of Kappa-Distribution Accelerated Electron Populations in Solar Flares
- Dual Maxwellian-Kappa modelling of the solar wind electrons: new clues on the temperature of Kappa populations
- Velocity Fluctuations in Electrostatically Driven Granular Media
- Long-time tails and cage effect in driven granular fluids
- Modeling the dynamics of a tracer particle in an elastic active gel
- Stochastic Particle Acceleration in Turbulence Generated by the Magnetorotational Instability
- Classical motion in force fields with short range correlations
- Multi-thermal representation of the kappa-distribution of solar flare electrons and application to simultaneous X-ray and EUV observations
- Nonequilibrium dynamics induced by scattering forces for optically trapped nanoparticles in strongly inertial regimes
- Signatures of motor susceptibility in the dynamics of a tracer particle in an active gel
- On a possible nonequilibrium imprint in the cosmic background at low frequencies
- Mobility and Diffusion of a Tagged Particle in a Driven Colloidal Suspension
- Producing suprathermal tails in the stationary velocity distribution