Lattice models of nonequilibrium bacterial dynamics

By A. G. Thompson, J. Tailleur, M. E. Cates, Richard A. Blythe. 2010

135 citations recorded by the source corpus.

We study a model of self-propelled particles exhibiting run-and-tumble dynamics on a lattice. This non-Brownian diffusion is characterized by a random walk with a finite persistence length between changes of direction and is inspired by the motion of bacteria such as E. coli. By defining a class of models with multiple species of particles and transmutation between species we can recreate such dynamics. These models admit exact analytical results whilst also forming a counterpart to previous continuum models of run-and-tumble dynamics. We solve the externally driven non-interacting and zero-range versions of the model exactly and utilize a field-theoretic approach to derive the continuum fluctuating hydrodynamics for more general interactions. We make contact with prior approaches to run-and-tumble dynamics off lattice and determine the steady state and linear stability for a class of crowding interactions, where the jump rate decreases as density increases. In addition to its interest from the perspective of nonequilibrium statistical mechanics, this lattice model constitutes an efficient tool to simulate a class of interacting run-and-tumble models relevant to bacterial motion, so long as certain conditions (that we derive) are met.

Subfields: Condensed Matter Physics, Mathematical Physics, Molecular Biology

View Paper: https://www.semanticscholar.org/paper/c22c7a73766510aada382199eb3a035028b415fc

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Condensed Matter Physics

1. Cesare Nardini
2. M. E. Cates
3. Elsen Tjhung
4. J. Tailleur
5. É. Fodor
6. F. van Wijland
7. M. Cristina Marchetti
8. 'Etienne Fodor

In Mathematical Physics

1. M. E. Cates
2. J. Tailleur

In Molecular Biology

1. M. E. Cates
2. J. Tailleur
3. Elsen Tjhung
4. Cesare Nardini
5. M. Cristina Marchetti

Citations in the corpus

• Entropy production in field theories without time reversal symmetry: Quantifying the non-equilibrium character of active matter (2016, background): “[97] AG Thompson, J Tailleur, ME Cates, and RA Blythe, “Lattice models of nonequilibrium bacterial dynamics,” Journal of Statistical Mechanics: Theory and Experiment 2011, P02029 (2011).”