Theoretical approaches to nonequilibrium many-body dynamics generally rest upon an adiabatic assumption, whereby the true dynamics is represented as a sequence of equilibrium states. Going beyond this simple approximation is a notoriously difficult problem. For the case of classical Brownian many-body dynamics, we present a simulation method that allows us to isolate and precisely evaluate supe...

New features related to collective properties generated in the systems driven by random dynamics are observed and their implications for further understanding of interplay between coherence and chaos are discussed.

We present an algorithm for performing rigid-body Brownian dynamics that can take into account the hydrodynamic properties (translational and rotational friction tensors and the coupling between them) of each rigid body. In the zero temperature limit, the error term scales as Delta;{4} for time step Delta , while at nonzero temperatures the error scaling is Delta;{5/2} . We test the algorithm b...

A naive extension to MOND of the standard computation of the two-body relaxation time t2b implies that t2b is comparable to the crossing time regardless of the number N of stars in the system. This computation is questionable in view of the non-linearity of MOND’s field equation. A non-standard approach to the calculation of t2b is developed that can be extended to MOND whenever discreteness no...

We show that the growth of the size with the number of partons holds in a Thomas–Fermi analysis of the threshold bound state of D0–branes. Our results sharpen the evidence that for a fixed value of the eleven dimensional radius the partonic velocities can be made arbitrarily small as one approaches the large N limit. ∗[email protected] †[email protected] ‡[email protected]....

It is shown that for the generalized rigid body certain Cartan subalgebras (called of coordinate type) of so(n) are equilibrium points for the rigid body dynamics. In the case of so(4) there are three coordinate type Cartan subalgebras which form the set of all the regular equilibria. These coordinate type Cartan subalgebras are the analogues of the three axes of equilibria for the classical ri...

We present a novel optimization-based algorithm for articulated body dynamics simulation. We formulate the governing equations of rigid body dynamics using only the position variables and recast the position-based articulated dynamics as an optimization problem. We also extend our framework to handle joint limits, control forces/torques, fluid drag forces, and frictional contact forces. Our ref...

This report presents a simulator of rigid dynamics of a single body in Matlab. The focus was on the conservation of Angular-Momentum and we assume that we’re in the center of mass frame with no external forces. We show that the simulation agrees with the analytical solution for the case of a body with two equal moments. Qualitatively, we also show that the model exhibits the expected behavior w...

I compare various popular and unpopular techniques for simulating large collisionless stellar systems. I give a quantitative comparison of the raw cpu times required for ve separate codes, including tree codes and basis function expansions, which demonstrate that grid codes are most eecient for large numbers of particles. Since eeciency is only one consideration when choosing a code, I discuss ...