Document Type : Original Article
Authors
Department of physics, Bu-Ali Sina University, Hamedan, Iran
Abstract
Bacteria can move for various reasons, including in response to chemical stimuli in the environment. In this article, we model the movement patterns of a typical bacteria in the form of a discrete-time Markov chain in one dimension (one-dimensional running and tumble model). Then with the help of the large deviation theory, the behavior of the probability density function of current (displacement per unit time), as a dynamical variable that is defined on the moving path, is studied. We will show that it is possible to observe a dynamical phase transition in the system.
Keywords
- large deviation theory
- dynamical phase transition
- chemotaxis
- run and tumble model
- stochastic process
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