Effects of time delay on transport processes in an active Brownian particle

2013 ◽  
Vol 392 (19) ◽  
pp. 4210-4215 ◽  
Author(s):  
Wei Guo ◽  
Can-Jun Wang ◽  
Lu-Chun Du ◽  
Dong-Cheng Mei
Keyword(s):  
Time Delay ◽  
Brownian Particle ◽  
Transport Processes ◽  
Active Brownian Particle

scholarly journals Motility-Induced Microphase and Macrophase Separation in a Two-Dimensional Active Brownian Particle System

2020 ◽  
Vol 125 (17) ◽  
Author(s):  
Claudio B. Caporusso ◽  
Pasquale Digregorio ◽  
Demian Levis ◽  
Leticia F. Cugliandolo ◽  
Giuseppe Gonnella
Keyword(s):  
Particle System ◽  
Brownian Particle ◽  
Two Dimensional ◽  
Active Brownian Particle ◽  
Macrophase Separation

Do hydrodynamic interactions affect the swim pressure?

Soft Matter ◽  
2018 ◽  
Vol 14 (18) ◽  
pp. 3581-3589 ◽  
Author(s):  
Eric W. Burkholder ◽  
John F. Brady
Keyword(s):  
Brownian Particle ◽  
Hydrodynamic Interactions ◽  
Particle Model ◽  
Active Brownian Particle

We generalize the active Brownian particle model to account for hydrodynamic interactions.

scholarly journals Active Brownian particles: mapping to equilibrium polymers and exact computation of moments

Soft Matter ◽  
2020 ◽  
Vol 16 (20) ◽  
pp. 4776-4787 ◽  
Author(s):  
Amir Shee ◽  
Abhishek Dhar ◽  
Debasish Chaudhuri
Keyword(s):  
Brownian Particle ◽  
Exact Calculation ◽  
Exact Computation ◽  
Brownian Particles ◽  
Active Brownian Particle ◽  
Equilibrium Polymers

A polymer-mapping of active Brownian particle (ABP)-trajectories, and exact calculation of the moments of dynamical variables provide insights into the mechanical crossovers in polymers with length, and related dynamical crossovers in ABP-motion.

scholarly journals Intermediate scattering function of an anisotropic active Brownian particle

2016 ◽  
Vol 6 (1) ◽  
Author(s):  
Christina Kurzthaler ◽  
Sebastian Leitmann ◽  
Thomas Franosch
Keyword(s):  
Brownian Particle ◽  
Rotational Diffusion ◽  
Effective Diffusion ◽  
Mean Square Displacement ◽  
Scattering Function ◽  
Directed Motion ◽  
Stochastic Motion ◽  
Length Scales ◽  
Intermediate Scattering Function ◽  
Active Brownian Particle

Abstract Various challenges are faced when animalcules such as bacteria, protozoa, algae, or sperms move autonomously in aqueous media at low Reynolds number. These active agents are subject to strong stochastic fluctuations, that compete with the directed motion. So far most studies consider the lowest order moments of the displacements only, while more general spatio-temporal information on the stochastic motion is provided in scattering experiments. Here we derive analytically exact expressions for the directly measurable intermediate scattering function for a mesoscopic model of a single, anisotropic active Brownian particle in three dimensions. The mean-square displacement and the non-Gaussian parameter of the stochastic process are obtained as derivatives of the intermediate scattering function. These display different temporal regimes dominated by effective diffusion and directed motion due to the interplay of translational and rotational diffusion which is rationalized within the theory. The most prominent feature of the intermediate scattering function is an oscillatory behavior at intermediate wavenumbers reflecting the persistent swimming motion, whereas at small length scales bare translational and at large length scales an enhanced effective diffusion emerges. We anticipate that our characterization of the motion of active agents will serve as a reference for more realistic models and experimental observations.

Stochastic resonance in deformable potential with time-delayed feedback

2021 ◽  
Vol 379 (2192) ◽  
pp. 20200234 ◽  
Author(s):  
Y. J. Wadop Ngouongo ◽  
M. Djolieu Funaye ◽  
G. Djuidjé Kenmoé ◽  
T. C. Kofané
Keyword(s):  
Time Delay ◽  
Stochastic Resonance ◽  
Brownian Particle ◽  
Delayed Feedback ◽  
Memory Effects ◽  
Loop Area ◽  
Feedback Strength ◽  
Hysteresis Loop Area ◽  
Time Delayed Feedback ◽  
With Memory

This paper reports the stochastic resonance (SR) phenomenon with memory effects for a Brownian particle in a potential whose shape is subjected to deformation. We model the deformation in the system by the Remoissenet–Peyrard potential and the memory effects by the time-delayed feedback. The question of the possible influence of time-delayed feedback on the occurrence of SR is then of our interest. We examine numerically the effect of feedback strength as well as time delay on SR phenomenon in terms of hysteresis loop area. It is found that time-delayed feedback has a significant effect on SR and can induce double resonances in the system. We show that the properties of SR are varying, depending on interdependence between feedback strength, time delay and shape parameter. This article is part of the theme issue ‘Vibrational and stochastic resonance in driven nonlinear systems (part 1)’.

Sign in / Sign up

Export Citation Format

Share Document