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Inertial active harmonic particle with memory induced spreading by viscoelastic suspension

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Abstract

We investigate the self-propulsion of an inertial active particle confined in a two-dimensional harmonic trap. The particle is suspended in a non-Newtonian or viscoelastic suspension with a friction kernel that decays exponentially with a time constant characterizing the memory timescale or transient elasticity of the medium. By solving the associated non-Markovian dynamics, we identify two regimes in parameter space distinguishing the oscillatory and non-oscillatory behavior of the particle motion. By simulating the particle trajectories and exactly calculating the steady-state probability distribution functions and mean square displacement; interestingly, we observe that with an increase in the memory time scale, the effective temperature of the environment increases. As a consequence, the particle becomes energetic and spread away from the center, covering larger space inside the confinement. On the other hand, with an increase in the duration of the activity, the particle becomes trapped by the harmonic confinement.

Graphical abstract

Schematic diagram of the research problem. Self-propulsion of an inertial active particle in a two dimensional harmonic well subjected to a viscoelastic environment

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Data availability

The datasets that support the main findings of our study are available upon reasonable request from the corresponding author.

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Acknowledgements

We thank the 8th statphysics community meeting (ICTS/ISPCM2023/02), during which a part of the work was done. MS acknowledges the start-up grant from UGC, state plan fund from the University of Kerala, SERB-SURE grant (SUR/2022/0377), CRG grant (CRG/2023/002026) from DST, Govt. of India, for financial support. MM acknowledges SERB international travel grant (ITS/2023/002740) from DST, Govt. of India, for financial support.

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  1. Department of Physics, University of Kerala, Kariavattom, Thiruvananthapuram, 695581, India

    F. Adersh, M. Muhsin & M. Sahoo

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  1. F. Adersh
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MS designed the research problem and supervised the complete work. The analytical calculation and simulation results are done by both FA and MM. FA, MM and MS analyzed the data. MS wrote the final version of the manuscript which was initially drafted by both FA and MM.

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Correspondence to M. Sahoo.

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Adersh, F., Muhsin, M. & Sahoo, M. Inertial active harmonic particle with memory induced spreading by viscoelastic suspension. Eur. Phys. J. E 47, 33 (2024). https://doi.org/10.1140/epje/s10189-024-00424-9

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