Abstract
We present a method for computing stationary distributions for activated processes in equilibrium and nonequilibrium systems using forward flux sampling. In this method, the stationary distributions are obtained directly from the rate constant calculations for the forward and backward reactions; there is no need to perform separate calculations for the stationary distribution and the rate constant. We apply the method to the nonequilibrium rare event problem proposed by Maier and Stein, to nucleation in a 2-dimensional Ising system, and to the flipping of a genetic switch.
References
35
Referenced
97
10.1016/0009-2614(74)80109-0
/ Chem. Phys. Lett. (1974)10.1063/1.462802
/ J. Chem. Phys. (1992)10.1063/1.471721
/ J. Chem. Phys. (1996)10.1039/fd9960400093
/ Faraday Discuss. (1996)10.1063/1.436049
/ J. Chem. Phys. (1978)10.1021/bk-1977-0046
/ Algorithms for Chemical Computations, ACS Symposium, Series No. 46 by Christofferson (1977)10.1063/1.475562
/ J. Chem. Phys. (1998)10.1002/0471231509.ch1
/ Adv. Chem. Phys. (2002)10.1063/1.1562614
/ J. Chem. Phys. (2003)10.1016/j.jcp.2004.11.003
/ J. Comput. Phys. (2005)10.1103/PhysRevLett.94.018104
/ Phys. Rev. Lett. (2005)10.1063/1.2140273
/ J. Chem. Phys. (2006)10.1063/1.2198827
/ J. Chem. Phys. (2006)10.1063/1.451695
/ J. Chem. Phys. (1986)10.1146/annurev.physchem.53.082301.113146
/ Annu. Rev. Phys. Chem. (2002)10.1063/1.1644537
/ J. Chem. Phys. (2004)- D. Moroni, Ph.D. thesis, Universiteit van Amsterdam (2005).
10.1103/PhysRevE.71.056709
/ Phys. Rev. E (2005)10.1063/1.1738640
/ J. Chem. Phys. (2004)10.1103/PhysRevB.66.052301
/ Phys. Rev. B (2002)10.1063/1.2212942
/ J. Chem. Phys. (2006)10.1021/jp045523y
/ J. Phys. Chem. B (2005){'volume-title': 'Computer Simulation of Liquids', 'year': '1987', 'key': '2023063020355957700_c23'}
/ Computer Simulation of Liquids (1987)10.1103/PhysRevLett.69.3691
/ Phys. Rev. Lett. (1992)10.1007/BF02183736
/ J. Stat. Phys. (1996)10.1103/PhysRevE.48.931
/ Phys. Rev. E (1993){'key': '2023063020355957700_c27'}
{'volume-title': 'Ising Model', 'key': '2023063020355957700_c28'}
/ Ising Model10.1021/jp056377e
/ J. Phys. Chem. B (2006){'volume-title': 'Crystal Nucleation in Liquids and Glasses, Vol. 45', 'year': '1991', 'author': 'Ehrenreich', 'key': '2023063020355957700_c30'}
/ Crystal Nucleation in Liquids and Glasses, Vol. 45 by Ehrenreich (1991)10.1103/PhysRev.65.117
/ Phys. Rev. (1944)10.1021/j100540a008
/ J. Phys. Chem. (1977){'volume-title': 'Understanding Molecular Simulation. From Algorithms to Applications', 'year': '2002', 'key': '2023063020355957700_c33'}
/ Understanding Molecular Simulation. From Algorithms to Applications (2002)10.1038/35002131
/ Nature (2000)10.1038/ng869
/ Nat. Genet. (2002)
Dates
Type | When |
---|---|
Created | 17 years, 11 months ago (Sept. 21, 2007, 6:02 p.m.) |
Deposited | 2 years, 1 month ago (June 30, 2023, 4:36 p.m.) |
Indexed | 3 weeks, 3 days ago (July 30, 2025, 6:49 a.m.) |
Issued | 17 years, 11 months ago (Sept. 21, 2007) |
Published | 17 years, 11 months ago (Sept. 21, 2007) |
Published Online | 17 years, 11 months ago (Sept. 21, 2007) |
Published Print | 17 years, 11 months ago (Sept. 21, 2007) |
@article{Valeriani_2007, title={Computing stationary distributions in equilibrium and nonequilibrium systems with forward flux sampling}, volume={127}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.2767625}, DOI={10.1063/1.2767625}, number={11}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Valeriani, Chantal and Allen, Rosalind J. and Morelli, Marco J. and Frenkel, Daan and Rein ten Wolde, Pieter}, year={2007}, month=sep }