# The entropy production of Ornstein–Uhlenbeck active particles: a path integral method for correlations

@article{Caprini2019TheEP, title={The entropy production of Ornstein–Uhlenbeck active particles: a path integral method for correlations}, author={Lorenzo Caprini and Umberto Marini Bettolo Marconi and Andrea Puglisi and Angelo Vulpiani}, journal={Journal of Statistical Mechanics: Theory and Experiment}, year={2019} }

By employing a path integral formulation, we obtain the entropy production rate for a system of active Ornstein-Uhlenbeck particles (AOUP) both in the presence and in the absence of thermal noise. The present treatment clarifies some contraddictions concerning the definition of the entropy production rate in the AOUP model, recently appeared in the literature. We derive explicit formulas for three different cases: overdamped Brownian particle, AOUP with and without thermal noise. In addition…

## 38 Citations

Work fluctuations in the active Ornstein–Uhlenbeck particle model

- PhysicsJournal of Statistical Mechanics: Theory and Experiment
- 2021

We study the large deviations of the power injected by the active force for an active Ornstein–Uhlenbeck particle (AOUP), free or in a confining potential. For the free-particle case, we compute the…

AOUP in the presence of Brownian noise: a perturbative approach

- Physics
- 2020

By working in the small persistence time limit, we determine the steady-state distribution of an active Ornstein Uhlenbeck particle (AOUP) experiencing, in addition to self-propulsion, a Gaussian…

The chemical birth-death process with Gillespie noise

- Physics, Biology
- 2019

An exact path integral calculation of the transition probability corresponding to a one-dimensional system with state-dependent noise using a Martin-Siggia-Rose-Janssen-De Dominicis (MSRJD) path integral is provided.

Heat fluctuations in a harmonic chain of active particles.

- Medicine, PhysicsPhysical review. E
- 2021

This paper studies the heat fluctuations in a system of interacting active particles, specifically a one-dimensional harmonic chain of N active Ornstein-Uhlenbeck particles, with the chain ends connected to heat baths of different temperatures.

Excess and loss of entropy production for different levels of coarse graining.

- Physics, MedicinePhysical review. E
- 2021

This work considers a one-dimensional colloidal particle in contact with a thermal bath, moving in a sinusoidal potential and driven out of equilibrium by a small constant force, finding that the inertia is able to induce multiple jumps and affect the average jump rate.

N ov 2 01 9 Stochastic thermodynamics for self-propelled particles

- 2019

We propose a generalization of stochastic thermodynamics to systems of active particles, which move under the combined influence of stochastic internal self-propulsions (activity) and a heat bath.…

Medium Entropy Reduction and Instability in Stochastic Systems with Distributed Delay

- Computer Science, MedicineEntropy
- 2021

For a specific non-reciprocal realization of a control device, it is found that the entropic costs, measured by the total entropy production of the system plus controller, are the lowest for exponential delay and the exponential delay further yields the largest stable parameter regions.

The chemical birth-death process with additive noise.

- Biology, Physics
- 2019

This system is used to showcase eight qualitatively different ways to exactly solve continuous stochastic systems.

Stochastic thermodynamics for self-propelled particles.

- Medicine, PhysicsPhysical review. E
- 2019

The main idea is to consider joint trajectories of particles' positions and self-propulsions to exploit formal similarity of an active system and a system consisting of two subsystems interacting with different heat reservoirs and coupled by a nonsymmetric interaction.

Non-reciprocal hidden degrees of freedom: A unifying perspective on memory, feedback, and activity

- Mathematics, Physics
- 2019

We show that memory, feedback, and activity are all describable by the same unifying concept, that is non-reciprocal (NR) coupling. We demonstrate that characteristic thermodynamic features of these…

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