Field Theory of free Active Ornstein-Uhlenbeck Particles

Abstract

We derive a Doi-Peliti field theory for free active Ornstein-Uhlenbeck particles, or, equivalently, free inertial Brownian particles, and present a way to diagonalise the Gaussian part of the action and calculate the propagator. Unlike previous course-grained approaches this formulation correctly tracks particle identity and yet can easily be expanded to include potentials and arbitrary reactions.

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Cited by in corpus (12)

• Role of initial conditions in $1D$ diffusive systems: compressibility, hyperuniformity and long-term memory
• Non-equilibrium thermodynamics of diffusion in fluctuating potentials
• Field Theory of Free Run and Tumble Particles in d Dimensions
• Quantifying Rare Events in Stochastic Reaction-Diffusion Dynamics Using Tensor Networks
• The most probable path of Active Ornstein-Uhlenbeck particles
• Time-delayed Duffing oscillator in an active bath
• Exact solution of a boundary tumbling particle system in one dimension
• Towards a liquid-state theory for active matter
• Field theories and quantum methods for stochastic reaction-diffusion systems
• Steady state correlations and induced trapping of an inertial AOUP particle
• The Two-Particle Irreducible Effective Action for Classical Stochastic Processes
• Confined active particles with spatially dependent Lorentz force: an odd twist to the "best Fokker-Planck approximation"