In:
Journal of Physics A: Mathematical and Theoretical, IOP Publishing, Vol. 56, No. 23 ( 2023-06-06), p. 235002-
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.
Type of Medium:
Online Resource
ISSN:
1751-8113
,
1751-8121
DOI:
10.1088/1751-8121/acd288
Language:
Unknown
Publisher:
IOP Publishing
Publication Date:
2023
detail.hit.zdb_id:
1363010-6
detail.hit.zdb_id:
209217-7
detail.hit.zdb_id:
3115688-5
SSG:
11
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