Hierarchies of nonclassical reaction kinetics due to anisotropic confinements
dc.contributor.author | Ahn, Jaewook | en_US |
dc.contributor.author | Kopelman, Raoul | en_US |
dc.contributor.author | Argyrakis, Panos | en_US |
dc.date.accessioned | 2010-05-06T21:44:53Z | |
dc.date.available | 2010-05-06T21:44:53Z | |
dc.date.issued | 1999-01-22 | en_US |
dc.identifier.citation | Ahn, Jaewook; Kopelman, Raoul; Argyrakis, Panos (1999). "Hierarchies of nonclassical reaction kinetics due to anisotropic confinements." The Journal of Chemical Physics 110(4): 2116-2121. <http://hdl.handle.net/2027.42/70174> | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/70174 | |
dc.description.abstract | In contrast to classical chemical reaction kinetics, for diffusion limited chemical reactions the anisotropy of the geometry has far reaching effects. We use tubular two and three-dimensional spaces to illustrate and discuss the dimensional crossover in A+B→0A+B→0 reactions due to dimensional compactification. We find that the crossover time tc = Wαtc=Wα scales as α = β/(a−b),α=β/(a−b), where a, b, and β are given by the earlier and the late time inverse density scaling of ρ−1 ∼ taρ−1∼ta and ρ−1 ∼ tbWβ,ρ−1∼tbWβ, respectively. We also obtain a critical width WcWc below (above) which the chemical reaction progresses without (with) traversing a two or three-dimensional Ovchinnikov–Zeldovich (OZ) reaction regime. As a result we find that there exist different hierarchies of dimensionally forced crossovers, depending on the initial conditions and geometric restrictions. Kinetic phase diagrams are employed, and exponents are given for various Euclidean and fractal compactified geometries, for the A+BA+B and A+AA+A elementary reactions. Monte Carlo simulations illustrate some of the kinetic hierarchies. © 1999 American Institute of Physics. | en_US |
dc.format.extent | 3102 bytes | |
dc.format.extent | 122918 bytes | |
dc.format.mimetype | text/plain | |
dc.format.mimetype | application/pdf | |
dc.publisher | The American Institute of Physics | en_US |
dc.rights | © The American Institute of Physics | en_US |
dc.title | Hierarchies of nonclassical reaction kinetics due to anisotropic confinements | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Physics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Departments of Chemistry and Physics, University of Michigan, Ann Arbor, Michigan 48109-1055 | en_US |
dc.contributor.affiliationum | Department of Chemistry, University of Michigan, Ann Arbor, Michigan 48109-1055 | en_US |
dc.contributor.affiliationother | Department of Physics, University of Thessaloniki, 54006 Thessaloniki, Greece | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/70174/2/JCPSA6-110-4-2116-1.pdf | |
dc.identifier.doi | 10.1063/1.477820 | en_US |
dc.identifier.source | The Journal of Chemical Physics | en_US |
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dc.owningcollname | Physics, Department of |
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