Regensburg 2019 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 30: Statistical Physics far from Thermal Equilibrium

DY 30.6: Talk

Wednesday, April 3, 2019, 11:45–12:00, H6

Field theory for interacting Brownian particles — •Rohit Jain¹ and Matthias Krüger² — ¹Institut für Theoretische Physik, 37077 Göttingen, Germany — ²Institut für Theoretische Physik, 37077 Göttingen, Germany

We derive a field theory for interacting Brownian particles starting from the stochastic equation for the density operator [1], using different approximations [2]. This field theory, among other things, can be used to analyze stresses and forces in non-equilibrium scenarios [3]. We discuss and analyze several applications. For instance, with this approach, we calculate the time-dependent two-point correlation functions. We also discuss the relation of this approach with the existing ones, namely dynamical density functional theory, classical Ginzburg-Landau theory, and also with quantum field theories.

References: [1] D. S. Dean, J. Phys. A: Math. Gen., 29, L613 (1996). [2] D. S. Dean and M. Krüger, J. Chem. Phys. 146, 134507 (2017). [3] M. Krüger et al, J. Chem. Phys. 148, 084503 (2018).