Effective potential method for active particles

Abstract

We investigate the steady state properties of an active fluid modeled as an assembly of soft repulsive spheres subjected to Gaussian colored noise. Such a noise captures one of the salient aspects of active particles, namely the persistence of their motion and determines a variety of novel features with respect to familiar passive fluids. We show that within the so-called multidimensional unified colored noise approximation, recently introduced in the field of active matter, the model can be treated by methods similar to those employed in the study of standard molecular fluids. The system shows a tendency of the particles to aggregate even in the presence of purely repulsive forces because the combined action of colored noise and interactions enhances the the effective friction between nearby particles. We also discuss whether an effective two-body potential approach, which would allow to employ methods similar to those of density functional theory, is appropriate. The limits of such an approximation are discussed.

14 pages, 6 figures in Molecular Physics, 11 march 2016. arXiv admin note: text overlap with arXiv:cond-mat/0605094 by other authors

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Cited by in corpus (22)

• Thermodynamic phases in two-dimensional active matter
• Active escape dynamics: the effect of persistence on barrier crossing
• Escape rate of active particles in the effective equilibrium approach
• Phase separation and multibody effects in three-dimensional active Brownian particles
• Applicability of Effective Pair Potentials for Active Brownian Particles
• Universality class of the motility-induced critical point in large scale off-lattice simulations of active particles
• Effective equilibrium states in the colored-noise model for active matter I. Pairwise forces in the Fox and unified colored noise approximations
• Effective equilibrium states in the colored-noise model for active matter II. A unified framework for phase equilibria, structure and mechanical properties
• Effective equilibrium states in mixtures of active particles driven by colored noise
• Critical active dynamics is captured by a colored-noise driven field theory
• Pressure in an exactly solvable model of active fluid
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• Critical behavior of quorum-sensing active particles
• Statistical Field Theory and Effective Action Method for scalar Active Matter
• Effective equilibrium picture in $xy-$model with exponentially correlated noise
• Ratchet-induced variations in bulk states of an active ideal gas
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• Emergent short-range repulsion for attractively coupled active particles
• Escape rate of an active Brownian particle in a rough potential
• Correlated escape of active particles across a potential barrier
• From Attraction to Repulsion: Emergent Interactions in Harmonically Coupled Active Binary System