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Published on: February 22, 2018
Most probable path of active Ornstein-Uhlenbeck particles
Andrea Crisanti1, Matteo Paoluzzi2
1Dipartimento di Fisica, Sapienza Università di Roma Piazzale A. Moro 2, I-00185 Rome, Italy.
We computed the most probable path for active particles driven by persistent noise in harmonic potentials. Analytical methods were used to determine the trajectory under extended Markovian dynamics.
Area of Science:
- Physics
- Statistical Mechanics
- Soft Matter Physics
Background:
- Active particles exhibit complex dynamics influenced by self-propulsion and external forces.
- Understanding nonequilibrium dynamics is crucial for fields like biophysics and materials science.
- Path integral methods offer a powerful framework for analyzing stochastic processes.
Purpose of the Study:
- To compute the most probable path of active particles driven by persistent noise.
- To analytically determine the trajectory of active particles in harmonic potentials.
- To investigate the effects of extended Markovian dynamics on particle paths.
Main Methods:
- Utilizing the path integral representation of nonequilibrium dynamics.
- Analytical computation of particle trajectories in harmonic potentials.
- Employing Ornstein-Uhlenbeck process for self-propulsive drive dynamics.
Main Results:
- Derived analytical solutions for the most probable path of active particles.
- Confirmed analytical predictions through numerical simulations.
- Compared results with approximated equilibrium-like dynamics.
Conclusions:
- The study provides an exact analytical framework for active particle trajectories.
- The findings offer insights into the behavior of active matter under nonequilibrium conditions.
- This work lays the foundation for further theoretical and experimental investigations.
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