ICAMS / Interdisciplinary Centre for Advanced Materials Simulation

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Reweighting the path ensemble in transition path sampling

Date: 04.10.2010
Place: Fifth International Conference on Multiscale Materials Modeling (MMM2010), Freiburg, Germany

Jutta Rogal
Wolfgang Lechner, Computational Chemistry Group, University of Amsterdam, Amsterdam, The Netherlands
Jarek Juraszek, Spanish National Cancer Research Center (CNIO), Madrid, Spain
Bernd Ensing, Computational Chemistry Group, University of Amsterdam, Amsterdam, The Netherlands
Peter Bolhuis, Computational Chemistry Group, University of Amsterdam, Amsterdam, The Netherlands

Sampling rare events in complex, high dimensional systems, such as crystal nucleation, protein folding and chemical reactions, remains a challenge for computational studies. Employing regular all-atom molecular dynamics (MD) simulations with a time step of a few femtoseconds becomes quickly unfeasible as the system tends to spend most of the time in a stable state hardly sampling the transition barrier regions of the phase space. Yet, these rare events dominate the dynamical behaviour over an extended time scale.

Among other approaches, transition path sampling (TPS) provides a possibility to explore transitions between stable states in rare event systems. One of the key advantages in TPS is that an a priori definition of a reaction coordinate is not required. In addition, since the dynamics used in TPS correspond to the actual underlying physical dynamics, the true kinetic mechanism is sampled. Transition interface sampling (TIS), a variant of TPS, has been developed to improve the calculation of rate constants by introducing a number of interfaces along a certain order parameter, through which the positive effective flux can be measured.

Here we introduce a reweighting scheme for the path ensembles within the TIS framework. Once the sampling has been performed in the biased TIS ensemble, the reweighting allows for the analysis of free energy landscapes and committor projections in an arbitrary order parameter space. In addition we suggest that the reweighted path ensemble can be used to optimize possible non-linear reaction coordinates.

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