2020/06/30 by Rahul Dandekar, Subhadip Chakraborti, R. Rajesh
Materials Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Coalescence (physics) #Einstein relation #Lattice (music) #Mass transfer #Mechanics #Micro and Nano Robotics #Physics #Pickering emulsions and particle stabilization #Statistical physics #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.102.062111
published as Phys. Rev. E 102, 062111 (2020) · 23 pages, 18 figures
arxiv created 2020/10/25 · openalex publication_date 2020/12/04 · arxiv updated 2021/01/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the large scale behavior of a collection of hard core run and tumble particles on a one-dimensional lattice with periodic boundary conditions. Each particle has persistent motion in one direction decided by an associated spin variable until the direction of spin is reversed. We map the run and tumble model to a mass transfer model with fluctuating directed bonds. We calculate the steady-state single-site mass distribution in the mass model within a mean field approximation for larger spin-flip rates and by analyzing an appropriate coalescence-fragmentation model for small spin-flip rates. We also calculate the hydrodynamic coefficients of diffusivity and conductivity for both large and small spin-flip rates and show that the Einstein relation is violated in both regimes. We also show how the nongradient nature of the process can be taken into account in a systematic manner to calculate the hydrodynamic coefficients.