Flow and Structure in Nonequilibrium Brownian Many-Body Systems

Nonequilibrium Ornstein-Zernike relation for Brownian many-body dynamics.

We derive a dynamic Ornstein-Zernike equation for classical fluids undergoing overdamped Brownian motion and driven out of equilibrium. Inhomogeneous two-time correlation functions are obtained from functional differentiation of the one-body density and current with respect to an appropriately chosen external field. Functional calculus leads naturally to non-Markovian equations of motion for th...

Dynamic correlations in Brownian many-body systems.

For classical Brownian systems driven out of equilibrium, we derive inhomogeneous two-time correlation functions from functional differentiation of the one-body density and current with respect to external fields. In order to allow for appropriate freedom upon building the derivatives, we formally supplement the Smoluchowski dynamics by a source term, which vanishes at the physical solution. Th...

Superadiabatic forces in Brownian many-body dynamics.

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...

Nonequilibrium Relativistic Quantum Many-Body Theory

Scaling in Many-body Systems and Proton Structure Function

The observation of scaling in processes in which a weakly interacting probe delivers large momentum q to a many-body system simply reflects the dominance of incoherent scattering off target constituents. While a suitably defined scaling function may provide rich information on the internal dynamics of the target, in general its extraction from the measured cross section requires careful conside...