Applicability of Effective Pair Potentials for Active Brownian Particles

Abstract

We have performed a case study investigating a recently proposed scheme to obtain an effective pair potential for active Brownian particles [Farage et al., Phys. Rev. E 91, 042310 (2015)]. Applying this scheme to the Lennard-Jones potential, numerical simulations of active Brownian particles are compared to simulations of passive Brownian particles interacting by the effective pair potential. Analyzing the static pair correlations, our results indicate a limited range of activity parameters (speed and orientational correlation time) for which we obtain quantitative, or even qualitative, agreement. Moreover, we find a qualitatively different behavior for the virial pressure even for small propulsion speeds. Combining these findings we conclude that beyond linear response active particles exhibit genuine non-equilibrium properties that cannot be captured by effective pair interaction alone.

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Cited by in corpus (5)

• Spontaneous velocity alignment in Motility-induced Phase Separation
• Perspective: Nonequilibrium glassy dynamics in dense systems of active particles
• How active forces influence nonequilibrium glass transitions
• Escape rate of active particles in the effective equilibrium approach
• Theoretical approaches to the steady-state statistical physics of interacting dissipative units