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arXiv · 2312.09823

Dynamic control of the Bose-Einstein-like condensation transition in scalar active matter

Jonas Berx
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Abstract

The dynamics of a generic class of scalar active matter exhibiting a diffusivity edge is studied in a confining potential where the amplitude is governed by a time-dependent protocol. For such non-equilibrium systems, the diffusion coefficient vanishes when the single-particle density field reaches a critical threshold, inducing a condensation transition that is formally akin to Bose-Einstein condensation. We show that this transition arises even for systems that do not reach a steady state, leading to condensation in finite time. Since the transition can be induced for a fixed effective temperature by evolving the system, we effectively show that the temporal coordinate constitutes an alternative control parameter to tune the transition characteristics. For a constant-amplitude protocol, our generalised thermodynamics reduces in the steady-state limit to earlier results. Lastly, we show numerically that for periodic modulation of the potential amplitude, the condensation transition is reentrant.

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Jonas Berx. 2023-12-15. Dynamic control of the Bose-Einstein-like condensation transition in scalar active matter. https://doi.org/10.1088/1367-2630%2Fad34f3

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