# Interplay of quenching temperature and drift in Brownian dynamics

@article{Khalilian2019InterplayOQ, title={Interplay of quenching temperature and drift in Brownian dynamics}, author={Hamidreza Khalilian and Mehrana R Nejad and Ali G. Moghaddam and Christian M Rohwer}, journal={Europhysics Letters}, year={2019}, volume={128} }

We investigate the non-equilibrium evolution of ideal Brownian particles confined between two walls, following simultaneous quenches of the temperature and a constant external force. We compute (analytically and in numeric simulations) the post-quench dynamics of the density and the pressure exerted by the particles on the two walls perpendicular to the drift force. For identical walls, symmetry breaking associated with the drift gives rise to unequal particle densities and pressures on the two…

## 2 Citations

### The role of dimensionality and geometry in quench-induced nonequilibrium forces

- PhysicsJournal of physics. Condensed matter : an Institute of Physics journal
- 2021

We present an analytical formalism, supported by numerical simulations, for studying forces that act on curved walls following temperature quenches of the surrounding ideal Brownian fluid. We show…

### Ballistic propagation of density correlations and excess wall forces in quenched granular media.

- PhysicsPhysical review. E
- 2020

It is concluded that the observed effects with and without side walls constitute distinct phenomena, and the transient contribution is ascribed to enhanced relaxation of the fluid in the presence of walls.

## References

SHOWING 1-10 OF 12 REFERENCES

### Pressure and phase equilibria in interacting active brownian spheres.

- PhysicsPhysical review letters
- 2015

It is shown that P(ρ) is a state function, independent of the particle-wall interaction, and interactions contribute two terms to P, one encoding the slow-down that drives motility-induced phase separation and the other a direct contribution well known for passive systems.

### Soft inclusion in a confined fluctuating active gel.

- PhysicsPhysical review. E
- 2018

The dynamics of a point inclusion can be described by a Langevin equation with a confining potential and multiplicative noise and it is found that the active noise induces an attraction to the edges of the confining domain.

### PHASE SEPARATION IN ONE-DIMENSIONAL DRIVEN DIFFUSIVE SYSTEMS

- Physics
- 1998

Department of Physics of Complex Systems, The Weizmann Institute of Science, Rehovot 76100, Israel(February 7, 2008)A driven diﬀusive model of three types of particles that exhibits phase separation…

### Colloquium: Nonequilibrium dynamics of closed interacting quantum systems

- Physics
- 2011

This Colloquium gives an overview of recent theoretical and experimental progress in the area of nonequilibrium dynamics of isolated quantum systems. There is particularly a focus on quantum…

### The drift diffusion equation and its applications in MOSFET modeling

- Engineering
- 1991

1 Boltzmann's Equation.- 1.1 Introduction.- 1.2 Many-Body System in Equilibrium.- 1.2.1 Quantum Mechanics of Many-Body Systems.- 1.2.2 Green's Functions for Electrons.- 1.2.3 Self-Energy.- 1.2.4…

### Brownian Motion and Stochastic Calculus

- Mathematics
- 1987

This chapter discusses Brownian motion, which is concerned with continuous, Square-Integrable Martingales, and the Stochastic Integration, which deals with the integration of continuous, local martingales into Markov processes.

### Nonequilibrium Thermodynamics and its Statistical Foundations

- Physics
- 1982

H J Kreuzer 1980 Clarendon Press: Oxford University Press vii + 438 pp price £45 This is a welcome addition to the small number of books which deal with the principles of nonequilibrium statistical…

### Phase Transition Dynamics

- Physics
- 2000

User's Guide.- General Theory of Phase Transition Dynamics.- Dynamic Transition Theory.- Equilibrium Phase Transition in Statistical Physics.- Fluid Dynamics.- Geophysical Fluid Dynamics and Climate…

### Semiconductor physics and devices : basic principles

- Physics
- 2012

Part I Semiconductor Material Properties Chapter 1: The Crystal Structure of Solids Chapter 2: Introduction to Quantum Mechanics Chapter 3: Introduction to the Quantum Theory of Solids Chapter 4: The…