18 citations · 24 across the 6 of their papers we have counts for
7 papers
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 of the transport equation and the orthogona…
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…
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…
On the generalized Langevin equation and the Mori projection operator technique
Christoph Widder, Johannes Zimmer, Tanja Schilling
In statistical physics, the Nakajima-Mori-Zwanzig projection operator formalism is used to derive an integro-differential equation for observables in a Hilbert space, the generaliz…
Tracer dynamics in polymer networks: generalized Langevin description
Sebastian Milster, Fabian Koch, Christoph Widder +2
Tracer diffusion in polymer networks and hydrogels is relevant in biology and technology, while it also constitutes an interesting model process for the dynamics of molecules in fl…
Generalized Langevin dynamics simulation with non-stationary memory kernels: How to make noise
Christoph Widder, Fabian Glatzel, Tanja Schilling
We present a numerical method to produce stochastic dynamics according to the generalized Langevin equation with a non-stationary memory kernel. This type of dynamics occurs when a…
Generating functions for message-passing on weighted networks: directed bond percolation and SIR epidemics
Christoph Widder, Tanja Schilling
We study the SIR ("susceptible, infected, removed/recovered") model on directed graphs with heterogeneous transmission probabilities within the message-passing approximation. We ch…