Communication: κ-dynamics--an exact method for accelerating rare event classical molecular dynamics.

κ-dynamics is an accelerated molecular dynamics method for systems with slow transitions between stable states. Short trajectories are integrated from a transition state separating a reactant state from products. The first trajectory found that leads directly to a product without recrossing the transition state and starts in the reactant state is followed. The transition time is drawn from a distribution given by the transition state theory rate and the number of attempted trajectories. Repeating this procedure from each state visited gives a statistically exact state-to-state trajectory.

[1]  H. Eyring The Activated Complex in Chemical Reactions , 1935 .

[2]  Arthur F. Voter,et al.  Transition state theory description of surface self-diffusion: Comparison with classical trajectory results , 1984 .

[3]  A. Voter Parallel replica method for dynamics of infrequent events , 1998 .

[4]  G. Henkelman,et al.  Long time scale kinetic Monte Carlo simulations without lattice approximation and predefined event table , 2001 .

[5]  James C. Keck,et al.  Variational Theory of Chemical Reaction Rates Applied to Three‐Body Recombinations , 1960 .

[6]  Eugene P. Wigner,et al.  The transition state method , 1938 .

[7]  James C. Keck,et al.  Statistical investigation of dissociation cross-sections for diatoms , 1962 .

[8]  D. Gillespie A General Method for Numerically Simulating the Stochastic Time Evolution of Coupled Chemical Reactions , 1976 .

[9]  T. Tsakalakos,et al.  Interface relaxations in epitaxial NiAl intermetallics , 1992 .

[10]  R. Swendsen,et al.  THE weighted histogram analysis method for free‐energy calculations on biomolecules. I. The method , 1992 .

[11]  James B. Anderson,et al.  Statistical theories of chemical reactions. Distributions in the transition region , 1973 .

[12]  B. Fridlund,et al.  Health predicting factors in a general population over an eight-year period in subjects with and without chronic musculoskeletal pain , 2008, Health and quality of life outcomes.

[13]  Wang,et al.  Replica Monte Carlo simulation of spin glasses. , 1986, Physical review letters.

[14]  Arthur F. Voter,et al.  Dynamical corrections to transition state theory for multistate systems: Surface self-diffusion in the rare-event regime , 1985 .

[15]  Peter G. Bolhuis,et al.  A novel path sampling method for the calculation of rate constants , 2003 .

[16]  D. Frenkel,et al.  Simulating rare events in equilibrium or nonequilibrium stochastic systems. , 2005, The Journal of chemical physics.

[17]  R. Miron,et al.  Accelerated molecular dynamics with the bond-boost method , 2003 .

[18]  A. Voter Hyperdynamics: Accelerated Molecular Dynamics of Infrequent Events , 1997 .

[19]  A. B. Bortz,et al.  A new algorithm for Monte Carlo simulation of Ising spin systems , 1975 .

[20]  A. Voter,et al.  Temperature-accelerated dynamics for simulation of infrequent events , 2000 .

[21]  Antonín Lešanovský,et al.  Systems with two dual failure modes — A survey , 1993 .

[22]  David Chandler,et al.  Transition path sampling: throwing ropes over rough mountain passes, in the dark. , 2002, Annual review of physical chemistry.