Confined active particles with spatially dependent Lorentz force: an odd twist to the "best Fokker-Planck approximation"
arXiv:2410.21087 · doi:10.1103/PhysRevE.111.025412
Abstract
We derive a version of the so-called "best Fokker-Planck approximation" (BFPA) to describe the spatial properties of interacting active Ornstein-Uhlenbeck particles (AOUPs) in arbitrary spatial dimensions. In doing so, we also take into account the odd-diffusive contribution of the Lorentz force acting on a charged particle in a spatially dependent magnetic field, sticking to the overdamped limit. While the BFPA itself does not turn out to be widely useful, our general approach allows to deduce an appropriate generalization of the Fox approximation, which we use to characterize the stationary behavior of a single active particle in an external potential by deriving analytic expressions for configurational probability distributions (or effective potentials). In agreement with computer simulations, our theory predicts that the Lorentz force reduces the effective attraction and thus the probability to find an active particle in the vicinity of a repulsive wall. Even for an inhomogeneous magnetic field, our theoretical findings provide useful qualitative insights, specifically regarding the location of accumulation regions.
References in corpus (71)
- Active Particles in Complex and Crowded Environments
- Motility-Induced Phase Separation
- Dynamical clustering and phase separation in suspensions of self-propelled colloidal particles
- Athermal Phase Separation of Self-Propelled Particles with no Alignment
- Active Brownian Particles. From Individual to Collective Stochastic Dynamics
- How far from equilibrium is active matter?
- Phase behaviour of active Brownian particles: The role of dimensionality
- A self-propelled particle in an external potential: is there an effective temperature?
- Dynamics of a Brownian circle swimmer
- Effective Interactions in Active Brownian Suspensions
- Statistical Mechanics of Active Ornstein Uhlenbeck Particles
- Inertial effects of self-propelled particles: from active Brownian to active Langevin motion
- Odd Viscosity and Odd Elasticity
- Multidimensional Stationary Probability Distribution for Interacting Active Particles
- Irreversibility in active matter systems: Fluctuation theorem and mutual information
- Inertial delay of self-propelled particles
- Active particles with soft and curved walls: Equation of state, ratchets, and instabilities
- Tunable long range forces mediated by self-propelled colloidal hard spheres
- Towards a statistical mechanical theory of active fluids
- Glassy dynamics of athermal self-propelled particles: Computer simulations and a nonequilibrium microscopic theory
- Inertial self-propelled particles
- The nonequilibrium glassy dynamics of self-propelled particles
- The Entropy Production of Ornstein-Uhlenbeck Active Particles: a path integral method for correlations
- Swim pressure on walls with curves and corners
- How active forces influence nonequilibrium glass transitions
- Heat, temperature and Clausius inequality in a model for active brownian particles
- Escape rate of active particles in the effective equilibrium approach
- Diffusion of active chiral particles
- Active Ornstein-Uhlenbeck model for self-propelled particles with inertia
- Applicability of Effective Pair Potentials for Active Brownian Particles
- The active trap model
- Effective equilibrium states in the colored-noise model for active matter I. Pairwise forces in the Fox and unified colored noise approximations
- Time-dependent inertia of self-propelled particles: the Langevin rocket
- Active Brownian particles at interfaces: An effective equilibrium approach
- Linear response and correlation of a self-propelled particle in the presence of external fields
- Nonlocal stationary probability distributions and escape rates for an active Ornstein-Uhlenbeck particle
- Active matter under control: Insights from response theory
- Emergence of Nonwhite Noise in Langevin Dynamics with Magnetic Lorentz Force
- Evaluating linear response in active systems with no perturbing field
- Pressure and Flow of Exponentially Self-Correlated Active Particles
- Active matter: quantifying the departure from equilibrium
- Projection operators in statistical mechanics: a pedagogical approach
- Dynamics of active particles with space-dependent swim velocity
- Active Brownian and inertial particles in disordered environments: short-time expansion of the mean-square displacement
- Dynamics of active particles with translational and rotational inertia
- Effective equilibrium states in the colored-noise model for active matter II. A unified framework for phase equilibria, structure and mechanical properties
- Entropons as collective excitations in active solids
- Effective equilibrium states in mixtures of active particles driven by colored noise
- Chiral active matter in external potentials
- Critical active dynamics is captured by a colored-noise driven field theory
- Pressure in an exactly solvable model of active fluid
- Lorentz forces induce inhomogeneity and fluxes in active systems
- AOUP in the presence of Brownian noise: a perturbative approach
- Oscillatory force autocorrelations in equilibrium odd-diffusive systems
- Time-dependent properties of interacting active matter: dynamical behavior of one-dimensional systems of self-propelled particles
- Pressure, surface tension and curvature in active systems: A touch of equilibrium
- Anomalous fluxes in overdamped Brownian dynamics with Lorentz force
- Time-correlation functions for odd Langevin systems
- Dynamics of Magnus Dominated Particle Clusters, Collisions, Pinning and Ratchets
- Correlations in multithermostat Brownian systems with Lorentz force
- Nondiffusive Fluxes in Brownian System with Lorentz Force
- Self-propelled particle in a nonconvex external potential: Persistent limit in one dimension
- Field Theory of free Active Ornstein-Uhlenbeck Particles
- Emerging mesoscale flows and chaotic advection in dense active matter
- Unusual stationary state in Brownian systems with Lorentz force
- Intermittent relaxation and avalanches in extremely persistent active matter
- Field-Theory of Active Chiral Hard Disks: A First-Principles Approach to Steric Interactions
- Inertial active Ornstein-Uhlenbeck particle in the presence of magnetic field
- Work Fluctuations in the Active Ornstein- Uhlenbeck Particle model
- Memory Effects in Active Particles with Exponentially Correlated Propulsion
- Steady state correlations and induced trapping of an inertial AOUP particle