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

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.

11 pages, 7 figures

References in corpus (12)

• Motility-Induced Phase Separation
• Optimal finite-time processes in stochastic thermodynamics
• Expansion of a Bose-Einstein Condensate in the Presence of Disorder
• Exact moments in a continuous time random walk with complete memory of its history
• Compressibility and the Equation of State of an Optical Quantum Gas in a Box
• Bose-Einstein Condensation in Scalar Active Matter with Diffusivity Edge
• Magnetic microswimmers exhibit Bose-Einstein-like condensation
• Fluctuation-dissipation relation for a Bose-Einstein condensate of photons
• Bose-Einstein-like Condensation due to Diffusivity Edge under Periodic Confinement
• Time-dependent condensate fraction in an analytical model
• Time-dependent condensation of bosonic potassium
• Reentrant condensation transition in a model of driven scalar active matter with diffusivity edge