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
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:4043159265
SN - 0031-9007
VL - 68
SP - 1791
EP - 1794
JO - Physical Review Letters
JF - Physical Review Letters
IS - 12
ER -