Reaction diffusion systems and extensions of quantum stochastic processes

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Greenman, Chris D. (2023) Reaction diffusion systems and extensions of quantum stochastic processes. Journal of Physics A: Mathematical and Theoretical, 56 (23). ISSN 1751-8113

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Abstract

Reaction diffusion systems describe the behaviour of dynamic, interacting, particulate systems. Quantum stochastic processes generalise Brownian motion and Poisson processes, having operator valued Itô calculus machinery. Here it is shown that the three standard noises of quantum stochastic processes can be extended to model reaction diffusion systems, the methods being exemplified with spatial birth-death processes. The usual approach for these systems are master equations, or Doi-Peliti path integration techniques. The machinery described here provide efficient analyses for many systems of interest, and offer an alternative set of tools to investigate such problems.

Item Type:	Article
Additional Information:	Data availability statement: No new data were created or analysed in this study.
Uncontrolled Keywords:	doi-peliti,birth-death process,path integration,quantum stochastic process,reaction-diffusion,statistical and nonlinear physics,statistics and probability,modelling and simulation,mathematical physics,physics and astronomy(all) ,/dk/atira/pure/subjectarea/asjc/3100/3109
Faculty \ School:	Faculty of Science > School of Natural Sciences Faculty of Science > School of Computing Sciences
UEA Research Groups:	Faculty of Science > Research Groups > Centre for Photonics and Quantum Science Faculty of Science > Research Groups > Computational Biology
Related URLs:	http://www.scopus.com/inward/record.url?... https://arxiv.org/abs/2212.10864
Depositing User:	LivePure Connector
Date Deposited:	28 Apr 2023 09:30
Last Modified:	05 Jun 2023 09:30
URI:	https://ueaeprints.uea.ac.uk/id/eprint/91901
DOI:	10.1088/1751-8121/acd288

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