Superadiabatic forces in Brownian many-body dynamics

Area of Science:

• Physics
• Computational Physics
• Statistical Mechanics

Background:

• Theoretical approaches to nonequilibrium many-body dynamics often rely on the adiabatic assumption, approximating dynamics as a series of equilibrium states.
• Moving beyond the adiabatic approximation in classical Brownian many-body dynamics is a significant challenge.

Purpose of the Study:

• To develop and present a novel simulation method for evaluating superadiabatic correlations in classical Brownian many-body dynamics.
• To precisely quantify the forces arising from these superadiabatic correlations.

Main Methods:

• Developed a simulation technique to isolate and evaluate superadiabatic correlations.
• Applied the method to a one-dimensional system of hard particles.

Main Results:

• The simulation method successfully isolates and quantifies superadiabatic correlations and their associated forces.
• Analysis of the one-dimensional hard particle system highlights the significance and complexity of these out-of-equilibrium contributions.

Conclusions:

• The findings clarify the role of superadiabatic correlations in nonequilibrium dynamics.
• Provides a foundation for improving theories such as dynamical density functional theory.