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Condensed Matter > Statistical Mechanics
Title: Exact moments for trapped active particles: inertial impact on steady-state properties and re-entrance
(Submitted on 1 Apr 2024)
Abstract: In this study, we investigate the behavior of inertial active Brownian particles in a $d$-dimensional harmonic trap in the presence of translational diffusion. While the solution of the Fokker-Planck equation is generally challenging, it can be utilized to compute the exact time evolution of all time-dependent dynamical moments using a Laplace transform approach. We present the explicit form for several moments of position and velocity in $d$-dimensions. An interplay of time scales assures that the effective diffusivity and steady-state kinetic temperature depend on both inertia and trap strength, unlike passive systems. We present detailed `phase diagrams' using kurtosis of velocity and position showing possibilities of re-entrance.
Submission history
From: Debasish Chaudhuri [view email][v1] Mon, 1 Apr 2024 13:29:23 GMT (1814kb,D)
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