Fundamental theory of statistical particle dynamics

Fundamental Theory of Statistical Inference

Statistical Mechanics of Dissipative Particle Dynamics

The stochastic differential equations corresponding to the updating algorithm of Dissipative Particle Dynamics (DPD), and the corresponding Fokker-Planck equation are derived. It is shown that a slight modification to the algorithm is required before the Gibbs distribution is recovered as the stationary solution to the Fokker-Planck equation. The temperature of the system is then directly relat...

Dynamics of Fundamental Matter in N = 2∗ Yang–Mills Theory

We study the dynamics of quenched fundamental matter in N = 2∗ supersymmetric large N SU(N) Yang–Mills theory at zero temperature. Our tools for this study are probe D7–branes in the holographically dual N = 2∗ Pilch–Warner gravitational background. Previous work using D3–brane probes of this geometry has shown that it captures the physics of a special slice of the Coulomb branch moduli space o...

Dynamics of interacting particle systems : stochastic process and field theory

We present an approach to the dynamics of interacting particle systems, which allows to derive path integral formulas from purely stochastic considerations. We show that the resulting field theory is a dual version of the standard theory of Doi and Peliti. This clarify both the origin of the Cole-Hopf map between the two approaches and the occurence of imaginary noises in effective Langevin equ...

Kinetic theory for dissipative particle dynamics: the importance of collisions

– Kinetic theory of dissipative particle dynamics is developed in terms of a Boltzmann pair collision theory. The kinetic transport coefficients are computed from explicit collision integrals and compared favourably with detailed simulations. Previous theory is found to correspond to a weak scattering limit, or Vlasov theory, and previously reported discrepancies with simulations are thereby re...