✍ Scribed by Malte Henkel; Enzo Orlandini; Jaime Santos
No coin nor oath required. For personal study only.
One-dimensional reaction diffusion systems are mapped through a similarity transformation onto integrable (and a priori nonstochastic) quantum chains. Time-dependent properties of these chemical models can then be found exactly. The reaction diffusion processes related to free fermion systems with site-independent interactions are classified. The time-dependence of the mean particle density is calculated. Furthermore, new integrable stochastic processes related to the Heisenberg XXZ chain are identified and the relaxation times for the particle density and density correlation for these systems are found.
📜 SIMILAR VOLUMES
In a reasonably self-contained presentation the usefulness of the Cameron-MartinGirsanov formula for rigorous and explicit path-integral calculations in quantum physics is demonstrated. Its particularization to the family of Legendre processes is shown to be a sound tool for angular path integration