Work

Inertial dynamics of run-and-tumble particle

Year: 2025

Type: article

Abstract: We study the dynamics of a single inertial run-and-tumble particle on a straight line. The motion of this particle is characterized by two intrinsic timescales, namely, an inertial and an active timescale. We show that interplay of these two times-scales leads to the emergence of four distinct regimes, characterized by different dynamical behavior of mean-squared displacement and survival probability. We analytically compute the position distributions in these regimes when the two timescales are well separated. We show that in the large-time limit, the distribution has a large deviation form and compute the corresponding large deviation function analytically. We also find the persistence exponents in the different regimes theoretically. All our results are supported with numerical simulations.

Source: Chaos An Interdisciplinary Journal of Nonlinear Science

DOI: 10.1063/5.0250965

Authors: Debraj Dutta, Anupam Kundu, Urna Basu

Institutions: S.N. Bose National Centre for Basic Sciences, Tata Institute of Fundamental Research, International Centre for Theoretical Sciences

Language: English

Topic: Micro and Nano Robotics

Subfield: Condensed Matter Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Arthritis National Research Foundation, National Research Foundation, Department of Science and Technology, Ministry of Science and Technology, India, Department of Atomic Energy, Government of India

Awards: G1772542340, G3222526884, G4459151492, G7152629316