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.
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March 2025
Research Article|
March 03 2025
Inertial dynamics of run-and-tumble particle
Special Collection:
Anomalous Diffusion and Fluctuations in Complex Systems and Networks
Debraj Dutta
;
Debraj Dutta
(Conceptualization, Data curation, Formal analysis, Investigation, Methodology, Supervision, Visualization, Writing – original draft, Writing – review & editing)
1
S. N. Bose National Centre for Basic Sciences
, Kolkata 700106, India
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Anupam Kundu
;
Anupam Kundu
a)
(Conceptualization, Investigation, Methodology, Supervision, Writing – original draft, Writing – review & editing)
2
International Centre for Theoretical Sciences, Tata Institute of Fundamental Research
, Bengaluru 560089, India
a)Author to whom correspondence should be addressed: [email protected]
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Urna Basu
Urna Basu
(Conceptualization, Investigation, Methodology, Supervision, Writing – original draft, Writing – review & editing)
1
S. N. Bose National Centre for Basic Sciences
, Kolkata 700106, India
Search for other works by this author on:
Debraj Dutta
1
Anupam Kundu
2,a)
Urna Basu
1
1
S. N. Bose National Centre for Basic Sciences
, Kolkata 700106, India
2
International Centre for Theoretical Sciences, Tata Institute of Fundamental Research
, Bengaluru 560089, India
a)Author to whom correspondence should be addressed: [email protected]
Chaos 35, 033109 (2025)
Article history
Received:
November 28 2024
Accepted:
February 16 2025
Citation
Debraj Dutta, Anupam Kundu, Urna Basu; Inertial dynamics of run-and-tumble particle. Chaos 1 March 2025; 35 (3): 033109. https://doi.org/10.1063/5.0250965
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