Dynamics of Run and Tumble Particles
Lead Research Organisation:
University of Edinburgh
Department Name: Sch of Physics and Astronomy
Abstract
The Asymmetric Simple Exclusion Process (ASEP) is a paradigm of nonequilibrium statistical mechanics due to the flexibility of the model and its rich phenomenology. One variant of the model is "run and tumble" dynamics, which provides a qualitative model of bacterial movement: particles hop stochastically on a (1D) lattice, and may reverse their direction of hopping after a tumbling event. This is subject to the constraint that particles cannot move through one another. In a recent paper by Slowman, Evans, and Blythe, the steady state for a system of two run and tumble particles was found. The current project aims to further the analysis to the temporal dynamics.
Organisations
People |
ORCID iD |
| Martin Evans (Primary Supervisor) | |
| Emil Mallmin (Student) |
Studentship Projects
| Project Reference | Relationship | Related To | Start | End | Student Name |
|---|---|---|---|---|---|
| EP/N509644/1 | 01/10/2016 | 30/09/2021 | |||
| 1941659 | Studentship | EP/N509644/1 | 01/09/2017 | 31/08/2021 | Emil Mallmin |
| Description | During this award (still active), several aspects of run-and-tumble particles---an idealized random walk model of actively moving particles, such as bacteria---has been studied from a mostly analytical point of view. Key findings include an exact solution of a two-particle version of the model; a characterization of fluctuations in velocity and time spent at a given position for one particle; and a prototype study for how probabilistic conditioning can induce new interactions between run-and-tumble particles in an energy-efficient way. Overall, these results add to a growing literature on how the persistent-motion property of this model generates novel nonequilibrium phenomena. |
| Exploitation Route | The published papers registered with this award will be used by other researchers working on similar physical models. |
| Sectors | Other |