Quantum statistics of reaction-diffusion systems
β Scribed by C.I. Ivanov
- Publisher
- Elsevier Science
- Year
- 1980
- Tongue
- English
- Weight
- 412 KB
- Volume
- 101
- Category
- Article
- ISSN
- 0378-4371
No coin nor oath required. For personal study only.
β¦ Synopsis
A strictly quantum-statistical theory of inhomogeneous reactions is presented. The treatment is based on the theory of multi-channel reactive scattering. For the configuration probabilities of the reactants a system of reaction-diffusion equations is obtained. The expressions for the diffusion tensor and the reaction-rate coefficients are established in terms of microscopic parameters characteristic of the reacting species.
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For a stable matrix A with real entries, sufficient and necessary conditions for A y D to be stable for all non-negative diagonal matrices D are obtained. Implications of these conditions for the stability and instability of constant steadystate solutions to reactionαdiffusion systems are discussed
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