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

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

doi:10.1103/physrevlett.68.1791

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

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

Department of Physics - at Bar-Ilan University

Boston University
Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

61 Scopus citations

Abstract

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 language	English
Pages (from-to)	1791-1794
Number of pages	4
Journal	Physical Review Letters
Volume	68
Issue number	12
DOIs	https://doi.org/10.1103/physrevlett.68.1791
State	Published - 1992

Access to Document

10.1103/physrevlett.68.1791

Cite this

@article{c60a1bda68654ca187f9d432ac5b4430,

title = "Random-force-dominated reaction kinetics: Reactants moving under random forces",

abstract = "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.",

author = "Mariela Araujo and Shlomo Havlin and Hernan Larralde and Stanley, \{H. Eugene\}",

year = "1992",

doi = "10.1103/physrevlett.68.1791",

language = "אנגלית",

volume = "68",

pages = "1791--1794",

journal = "Physical Review Letters",

issn = "0031-9007",

publisher = "American Physical Society",

number = "12",

}

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 - https://www.scopus.com/pages/publications/4043159265

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 -

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

Abstract

Access to Document

Other files and links

Fingerprint

Cite this