C. Widder

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20212026

most citedGeneralized Langevin dynamics simulation with non-stationary memory kernels: How to make noise

18 citations · 24 across the 6 of their papers we have counts for

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math.DS2026

Existence and Uniqueness Proof for the Transport Equation and the Orthogonal Dynamics Equation for Zwanzig's Projection on Gaussian Spaces: A Vanishing Viscosity Method

Christoph Widder

We prove the existence of unique solutions $u \in H^{1} (0, T; L_{γ}^{2} (R^{n})) \cap L^{2} (0, T; H_{γ}^{1} (R^{n}))$ of the transport equation $u_{t} = F \cdot \nabla u + f$ and the orthogona…

math-ph2026

Mori-Zwanzig formalism: An existence proof for weak solutions of the orthogonal dynamics equation

Christoph Widder

In classical statistical physics, the Mori-Zwanzig projection operator technique is used to derive generalized Langevin equations for a random variable (observable). Standard deriv…

math-ph2026

Generalised Langevin Dynamics: Significance and Limitations of the Projection Operator Formalism

Christoph Widder, Tanja Schilling

We discuss some mathematical aspects of the Mori-Zwanzig projection operator formalism. The core of the Mori-Zwanzig formalism is the generalised Langevin equation, which is typica…