Superadiabatic forces in Brownian many-body dynamics

A. Fortini, D. de las Heras, J. M. Brader, M. Schmidt
Phys. Rev. Lett., 113, 167801, (2014)     DOI: 10.1103/PhysRevLett.113.167801
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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 to isolate and precisely evaluate superadiabatic correlations and the resulting forces. Application of the method to a system of one-dimensional hard particles reveals the importance for the dynamics, as well as the complexity, of these nontrivial out-of-equilibrium contributions. Our findings help clarify the status of dynamical density functional theory and provide a rational basis for the development of improved theories.

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