Equilibrium stochastic delay processes

• Published in: New journal of physics Vol. 24; no. 2; pp. 23021 - 23041
• Main Authors: Holubec, Viktor, Ryabov, Artem, Loos, Sarah A M, Kroy, Klaus
• Format: Journal Article
• Language: English
• Published: Bristol IOP Publishing 01.02.2022
• Subjects: Brownian motion; Control theory; Delay; Equilibrium; exact solutions; Feedback; fluctuation theorems; Mathematical analysis; nonlinear; Physics; Signal processing; Signal transmission; Stochastic processes; stochastic thermodynamics; Thermal baths; time delay

Stochastic processes with temporal delay play an important role in science and engineering whenever finite speeds of signal transmission and processing occur. However, an exact mathematical analysis of their dynamics and thermodynamics is available for linear models only. We introduce a class of sto...