Random-force-dominated reaction kinetics: Reactants moving under random forces

Mariela Araujo, Shlomo Havlin, Hernan Larralde, H. Eugene Stanley

Research output: Contribution to journalArticlepeer-review

61 Scopus citations


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.

Original languageEnglish
Pages (from-to)1791-1794
Number of pages4
JournalPhysical Review Letters
Issue number12
StatePublished - 1992


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