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DC Field | Value | Language |
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dc.contributor.author | VAN DEN BROECK, Christian | - |
dc.date.accessioned | 2007-11-30T07:53:43Z | - |
dc.date.available | 2007-11-30T07:53:43Z | - |
dc.date.issued | 1991 | - |
dc.identifier.citation | JOURNAL OF STATISTICAL PHYSICS, 65(5-6). p. 971-990 | - |
dc.identifier.issn | 0022-4715 | - |
dc.identifier.uri | http://hdl.handle.net/1942/3933 | - |
dc.description.abstract | In the first part of this paper, we present two variants of the A + A --> A and A + A --> P reaction in one dimension that can be investigated analytically. In the first model, pairs of neighboring particles disappear reactively at a rate which is independent of their relative distance. It is shown that the probability density phi(x) for a nearest neighbor distance equal to x approaches the scaling form phi(x) approximately c exp(-cx/2)/(cx)1/2 in the long-time limit, with c being the concentration of particles. The second model is a ballistic analogue of the coagulation reaction A + A --> A. The model is solved by reducing it to a first-passage-time problem. The anomalous relaxation dynamics can be linked in a direct way to the fractal time properties of random walks. In the second part of this paper, we discuss the complications that arise in systems with disorder. We present a new approach that relates first-passage-time characteristics in a one-dimensional random walk to properties of random maps. In particular, we show that Sinai disorder is a borderline case for the appearance of multifractal properties. Finally, we apply a previously introduced renormalization technique to calculate the survival probability of particles moving on the line in the presence of a background of imperfect traps. | - |
dc.language.iso | en | - |
dc.publisher | PLENUM PUBL CORP | - |
dc.subject.other | TRAPPING, MULTIFRACTALITY; ONE-DIMENSIONAL SYSTEMS | - |
dc.title | REACTION, TRAPPING, AND MULTIFRACTALITY IN ONE-DIMENSIONAL SYSTEMS | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 990 | - |
dc.identifier.issue | 5-6 | - |
dc.identifier.spage | 971 | - |
dc.identifier.volume | 65 | - |
local.format.pages | 20 | - |
dc.description.notes | UNIV CATHOLIQUE LOUVAIN,B-3590 DIEPENBEEK,BELGIUM.VANDENBROECK, C, UNIV CALIF SAN DIEGO,DEPT CHEM,LA JOLLA,CA 92093. | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.bibliographicCitation.oldjcat | A1 | - |
dc.identifier.doi | 10.1007/BF01049593 | - |
dc.identifier.isi | A1991GY07100011 | - |
item.accessRights | Closed Access | - |
item.contributor | VAN DEN BROECK, Christian | - |
item.fulltext | No Fulltext | - |
item.fullcitation | VAN DEN BROECK, Christian (1991) REACTION, TRAPPING, AND MULTIFRACTALITY IN ONE-DIMENSIONAL SYSTEMS. In: JOURNAL OF STATISTICAL PHYSICS, 65(5-6). p. 971-990. | - |
Appears in Collections: | Research publications |
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