scholarly journals Brownian particles with electrostatic repulsion on the circle: Dyson's model for unitary random matrices revisited

2001 ◽  
Vol 5 ◽  
pp. 203-224 ◽  
Author(s):  
Emmanuel Cépa ◽  
Dominique Lépingle
Keyword(s):  
Random Matrices ◽  
Electrostatic Repulsion ◽  
Brownian Particles ◽  
Dyson’S Model

scholarly journals Existence and uniqueness of solutions for two- dimensional fractional non- colliding particle systems

2020 ◽  
Vol 71 (1) ◽  
pp. 11-17
Author(s):  
Huong Vu Thi
Keyword(s):  
Diffusion Coefficients ◽  
Existence And Uniqueness ◽  
Particle Systems ◽  
Electrostatic Repulsion ◽  
Nearest Neighbour ◽  
Two Dimensional ◽  
Stochastic Evolution ◽  
Uniqueness Of Solutions ◽  
Restoring Force ◽  
Brownian Particles

In this paper, we consider the stochastic evolution of two particles with electrostatic repulsion and restoring force which is modeled by a system of stochastic differential equations driven by fractional Brownian motion where the diffusion coefficients are constant. This is the simplest case for some classes of non- colliding particle systems such as Dyson Brownian motions, Brownian particles systems with nearest neighbour repulsion. We will prove that the equation has a unique non- colliding solution in path- wise sense.

Trapping of Brownian particles by random traps: destruction of the fluctuation slow-down

1998 ◽  
Vol 77 (5) ◽  
pp. 1277-1281
Author(s):  
Alexander M. Berezhkovskii, Veaceslav Zaloj,
Keyword(s):  
Brownian Particles ◽  
Random Traps

The system of convective thermals as a generalized ensemble of Brownian particles

2016 ◽  
Vol 186 (2) ◽  
pp. 113-124 ◽  
Author(s):  
Alexander N. Vulfson ◽  
Oleg O. Borodin
Keyword(s):  
Brownian Particles

Communication Optimal Parallel Multiplication of Sparse Random Matrices

2013 ◽  
Author(s):  
Grey Ballard ◽  
Aydin Buluc ◽  
James Demmel ◽  
Laura Grigori ◽  
Benjamin Lipshitz ◽  
...  
Keyword(s):  
Random Matrices ◽  
Sparse Random Matrices ◽  
Parallel Multiplication

Nondiffusive Brownian Motion Studied by Diffusing-Wave Spectroscopy

1989 ◽  
Vol 177 ◽  
Author(s):  
D. J. Pine ◽  
D. A. Weitz ◽  
D. J. Durian ◽  
P. N. Pusey ◽  
R. J. A. Tough
Keyword(s):  
Autocorrelation Function ◽  
Colloidal Particles ◽  
Scattered Light ◽  
Short Time Scale ◽  
Velocity Autocorrelation Function ◽  
Velocity Autocorrelation ◽  
Power Law Decay ◽  
Brownian Particles ◽  
Short Time ◽  
Surrounding Fluid

ABSTRACTOn a short time scale, Brownian particles undergo a transition from initially ballistic trajectories to diffusive motion. Hydrodynamic interactions with the surrounding fluid lead to a complex time dependence of this transition. We directly probe this transition for colloidal particles by measuring the autocorrelation function of multiply scattered light and observe the effects of the slow power-law decay of the velocity autocorrelation function.

Sign in / Sign up

Export Citation Format

Share Document