Field Theory of Free Run and Tumble Particles in d Dimensions

Abstract

In this paper, Doi-Peliti field theory is used to describe the motion of free Run and Tumble particles in arbitrary dimensions. After deriving action and propagators, the mean square displacement and the corresponding entropy production at stationarity are calculated in this framework. We further derive the field theory of free Active Brownian Particles in two dimensions for comparison.

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• Statistical Mechanics of Interacting Run-and-Tumble Bacteria
• When are active Brownian particles and run-and-tumble particles equivalent? Consequences for motility-induced phase separation
• Applications of Field-Theoretic Renormalization Group Methods to Reaction-Diffusion Problems
• Run-and-tumble motion: field theory and entropy production
• Entropy production in exactly solvable systems
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Cited by in corpus (5)

• Positing the problem of stationary distributions of active particles as third-order differential equation
• Exact solution of a boundary tumbling particle system in one dimension
• Series representations for the characteristic function of the multidimensional Markov random flight
• Long time behavior of run-and-tumble particles in two dimensions
• Universal framework for the long-time position distribution of free active particles