Response to “Rotational velocity autocorrelation function of interacting Brownian particles”

Memory function for collective diffusion of interacting Brownian particles

– The problem of memory contribution to the collective diffusion coefficient of interacting Brownian particles is considered. A well-defined theoretical expression for this contribution, free of divergent integrals, is derived. Its value is then estimated for hard sphere suspensions numerically by means of extensive computer simulations. A good physical model for a broad class of suspensions is...

Interacting Brownian particles with strong repulsion

Zero Temperature Limit for Interacting Brownian Particles

We consider a system of interacting Brownian particles in R with a pairwise potential, which is radially symmetric, of finite range and attains a unique minimum when the distance of two particles becomes a > 0. The asymptotic behavior of the system is studied under the zero temperature limit from both microscopic and macroscopic aspects. If the system is rigidly crystallized, namely if the part...

Interacting Brownian Particles as a Model of Neural Network

A model of neural network is proposed, in which the dynamics of the internal state of neurons is based on the Brownian motion with the chaotic force, and the bifurcation parameter of the chaotic force is modulated by the position of the Brownian particles. This model is applied to the associative memory problem. The parameter dependence of the dynamics is studied. It is shown that the model can...

Diffusion of interacting Brownian particles: Jamming and anomalous diffusion.

The free self-diffusion of an assembly of interacting particles confined on a quasi-one-dimensional ring is investigated both numerically and analytically. The interparticle pairwise interaction can be either attractive or repulsive and the energy barrier opposing thermal hopping of two particles one past the other is finite. Thus, for sufficiently long times, self-diffusion becomes normal or c...