Regensburg 2025 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 4: Focus Session: Nonlinear Dynamics and Stochastic Processes – Advances in Theory and Applications I

DY 4.10: Vortrag

Montag, 17. März 2025, 12:30–12:45, H43

Non-Gaussian random forces in the generalized Langevin equation — •Hélène A. Colinet and Roland R. Netz — Freie Universität Berlin

The generalized Langevin equation (GLE), derived by projection from a general many-body Hamiltonian, exactly describes the dynamics of an arbitrary coarse-grained variable in a complex environment. The complementary force term (typically called a random force) describes the interaction with the environment, and is characterized by its second moment, linking it to the time-dependent friction memory kernel. For practical applications, this complementary force is commonly modeled as a Gaussian stochastic process, thus neglecting higher-order moments, which can become a bad approximation for non-linear systems. Leveraging advanced GLE extraction and simulation techniques, we explore the limitations of the Gaussian assumption and examine the role of non-Gaussian random forces in protein folding and conformational changes.

Keywords: Memory; Molecular Dynamics; Fluctuations and Noise