dorsal/arxiv
View SchemaNonclassical Kinetics in Constrained Geometries: Initial Distribution Effects
| Authors | K. Lindenberg, A. H. Romero, J. M. Sancho |
|---|---|
| Categories | |
| ArXiv ID | physics/9806012 |
| URL | https://arxiv.org/abs/physics/9806012 |
| DOI | 10.1142/S0218127498000656 |
Abstract
We present a detailed study of the effects of the initial distribution on the kinetic evolution of the irreversible reaction A+B -> 0 in one dimension. Our analytic as well as numerical work is based on a reaction-diffusion model of this reaction. We focus on the role of initial density fluctuations in the creation of the macroscopic patterns that lead to the well-known kinetic anomalies in this system. In particular, we discuss the role of the long wavelength components of the initial fluctuations in determining the long-time behavior of the system. We note that the frequently studied random initial distribution is but one of a variety of possible distributions leading to interesting anomalous behavior. Our discussion includes an initial distribution with correlated A-B pairs and one in which the initial distribution forms a fractal pattern. The former is an example of a distribution whose long wavelength components are suppressed, while the latter exemplifies one whose long wavelength components are enhanced, relative to those of the random distribution.
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"abstract": "We present a detailed study of the effects of the initial distribution on the\nkinetic evolution of the irreversible reaction A+B -\u003e 0 in one dimension. Our\nanalytic as well as numerical work is based on a reaction-diffusion model of\nthis reaction. We focus on the role of initial density fluctuations in the\ncreation of the macroscopic patterns that lead to the well-known kinetic\nanomalies in this system. In particular, we discuss the role of the long\nwavelength components of the initial fluctuations in determining the long-time\nbehavior of the system. We note that the frequently studied random initial\ndistribution is but one of a variety of possible distributions leading to\ninteresting anomalous behavior. Our discussion includes an initial distribution\nwith correlated A-B pairs and one in which the initial distribution forms a\nfractal pattern. The former is an example of a distribution whose long\nwavelength components are suppressed, while the latter exemplifies one whose\nlong wavelength components are enhanced, relative to those of the random\ndistribution.",
"arxiv_id": "physics/9806012",
"authors": [
"K. Lindenberg",
"A. H. Romero",
"J. M. Sancho"
],
"categories": [
"physics.chem-ph",
"nlin.PS",
"patt-sol"
],
"doi": "10.1142/S0218127498000656",
"title": "Nonclassical Kinetics in Constrained Geometries: Initial Distribution Effects",
"url": "https://arxiv.org/abs/physics/9806012"
},
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