3 papers
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
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…
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…