Magnus expansions and pseudospectra of Master Equations
arXiv:1701.02522
Abstract
New directions in research on master equations are showcased by example. Magnus expansions, time-varying rates, and pseudospectra are highlighted. Exact eigenvalues are found and contrasted with the large errors produced by standard numerical methods in some cases. Isomerisation provides a running example and an illustrative application to chemical kinetics. We also give a brief example of the totally asymmetric exclusion process.
References in corpus (5)
- Master equations and the theory of stochastic path integrals
- Macdonald processes, quantum integrable systems and the Kardar-Parisi-Zhang universality class
- Singular stochastic PDEs
- Error Control for Exponential Integration of the Master Equation
- Robustness analysis of spatiotemporal models in the presence of extrinsic fluctuations