Abstract
Reaction diffusion systems describe the behaviour of dynamic, interacting, particulate systems. Quantum stochastic processes generalise Brownian motion and Poisson processes, having operator valued Ito 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 exemplifed 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.
set of tools to investigate such problems.
Original language | English |
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Article number | 235002 |
Journal | Journal of Physics A: Mathematical and Theoretical |
Volume | 56 |
Issue number | 23 |
DOIs | |
Publication status | Published - 18 May 2023 |