TY - JOUR

T1 - Random-force-dominated reaction kinetics

T2 - Reactants moving under random forces

AU - Araujo, Mariela

AU - Havlin, Shlomo

AU - Larralde, Hernan

AU - Stanley, H. Eugene

PY - 1992

Y1 - 1992

N2 - We investigate the reaction kinetics for systems in which the dynamics of the particles is governed by a Langevin equation with negligible damping, and we find the expressions for the survival probability, residual concentrations, and reaction rates. We discover that the integral in time of the reaction front for d=1 is t1-+ exp(-x/t±) for both the low- and high-damping limits, and we estimate the exponents ± and in each case.

AB - We investigate the reaction kinetics for systems in which the dynamics of the particles is governed by a Langevin equation with negligible damping, and we find the expressions for the survival probability, residual concentrations, and reaction rates. We discover that the integral in time of the reaction front for d=1 is t1-+ exp(-x/t±) for both the low- and high-damping limits, and we estimate the exponents ± and in each case.

UR - http://www.scopus.com/inward/record.url?scp=4043159265&partnerID=8YFLogxK

U2 - 10.1103/physrevlett.68.1791

DO - 10.1103/physrevlett.68.1791

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AN - SCOPUS:4043159265

SN - 0031-9007

VL - 68

SP - 1791

EP - 1794

JO - Physical Review Letters

JF - Physical Review Letters

IS - 12

ER -