Mixing time of A + B− > 0 in one dimension

Haynes, Christophe P. (2016) Mixing time of A + B− > 0 in one dimension. Fractals, 24 2: . doi:10.1142/S0218348X16500158

Author Haynes, Christophe P.
Title Mixing time of A + B− > 0 in one dimension
Formatted title
Mixing time of A + B− > 0 in one dimension
Journal name Fractals   Check publisher's open access policy
ISSN 0218-348X
Publication date 2016-06
Year available 2016
Sub-type Article (original research)
DOI 10.1142/S0218348X16500158
Open Access Status Not yet assessed
Volume 24
Issue 2
Total pages 10
Place of publication Singapore, Singapore
Publisher World Scientific Publishing
Collection year 2017
Language eng
Formatted abstract
A mixing time density of A + B → 0 on a finite one-dimensional domain is defined for general initial and boundary conditions in which A and B diffuse at the same rate. The density is a measure of the number of A and B particles that mix through the center of the reaction zone. It also corresponds to the reaction density for the special case in which A and B annihilate upon contact. An exact expression is found for the generating function of the mixing time. The analysis is extended to multiple reaction fronts and finitely ramified fractals. The method involves using the kernel of the Laplace transform integral operator to map and analyze a moving homogeneous Dirichlet interior point condition.
Keyword Boundary value problems
Chemical kinetics and reactions
Classical theories of reactions and/or energy transfer
Classical transport
Ordinary and partial differential equations
Special regimes and techniques
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
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