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Forward flux sampling (FFS) provides a convenient and efficient way to simulate rare events in equilibrium or non-equilibrium systems. FFS ratchets the system from an initial state to a final state via a series of interfaces in phase space.…

Chemical Physics · Physics 2015-06-15 Kai Kratzer , Axel Arnold , Rosalind J. Allen

Path sampling approaches have become invaluable tools to explore the mechanisms and dynamics of so-called rare events that are characterized by transitions between metastable states separated by sizeable free energy barriers. Their…

Statistical Mechanics · Physics 2022-06-08 Steven W. Hall , Grisell Díaz Leines , Sapna Sarupria , Jutta Rogal

Rare events are ubiquitous in many different fields, yet they are notoriously difficult to simulate because few, if any, events are observed in a conventiona l simulation run. Over the past several decades, specialised simulation methods…

Statistical Mechanics · Physics 2015-05-13 Rosalind J. Allen , Chantal Valeriani , Pieter Rein ten Wolde

Rare event simulation and estimation for systems in equilibrium are among the most challenging topics in molecular dynamics. As was shown by Jarzynski and others, nonequilibrium forcing can theoretically be used to obtain equilibrium rare…

Optimization and Control · Mathematics 2015-06-11 Carsten Hartmann , Christof Schütte

We present a new method, Non-Stationary Forward Flux Sampling, that allows efficient simulation of rare events in both stationary and non-stationary stochastic systems. The method uses stochastic branching and pruning to achieve uniform…

Molecular Networks · Quantitative Biology 2015-06-03 Nils B. Becker , Rosalind J. Allen , Pieter Rein ten Wolde

We present a method for computing stationary distributions for activated processes in equilibrium and non-equilibrium systems using Forward Flux Sampling (FFS). In this method, the stationary distributions are obtained directly from the…

Soft Condensed Matter · Physics 2009-07-06 Chantal Valeriani , Rosalind J. Allen , Marco J. Morelli , Daan Frenkel , Pieter Rein ten Wolde

Forward-flux sampling (FFS) is a path sampling technique that has gained increased popularity in recent years, and has been used to compute rates of rare event phenomena such as crystallization, condensation, hydrophobic evaporation, DNA…

Statistical Mechanics · Physics 2018-05-01 Amir Haji-Akbari

From Physics and Biology to Seismology and Economics, the behaviour of countless systems is determined by impactful yet unlikely transitions between metastable states known as \emph{rare events}, the study of which is essential for…

Computational Physics · Physics 2025-07-22 Solomon Asghar , Qing-Xiang Pei , Giorgio Volpe , Ran Ni

We review two recently developed efficient methods for calculating rate constants of processes dominated by rare events in high-dimensional complex systems. The first is transition interface sampling (TIS), based on the measurement of…

Statistical Mechanics · Physics 2009-11-10 Titus S. van Erp , Peter G. Bolhuis

We introduce a new Forward-Flux Sampling in Time (FFST) algorithm to efficiently measure transition times in rare-event processes in non-equilibrium systems, and apply it to study the first-order (discontinuous) kinetic transition in the…

Statistical Mechanics · Physics 2015-05-19 David A. Adams , Robert M. Ziff , Leonard M. Sander

We present an algorithm for finding the probabilities of rare events in nonequilibrium processes. The algorithm consists of evolving the system with a modified dynamics for which the required event occurs more frequently. By keeping track…

Statistical Mechanics · Physics 2011-04-07 Anupam Kundu , Sanjib Sabhapandit , Abhishek Dhar

We analyse the efficiency of several simulation methods which we have recently proposed for calculating rate constants for rare events in stochastic dynamical systems, in or out of equilibrium. We derive analytical expressions for the…

Other Condensed Matter · Physics 2009-11-11 Rosalind J. Allen , Daan Frenkel , Pieter Rein ten Wolde

We present three algorithms for calculating rate constants and sampling transition paths for rare events in simulations with stochastic dynamics. The methods do not require a priori knowledge of the phase space density and are suitable for…

Soft Condensed Matter · Physics 2009-11-11 Rosalind J. Allen , Daan Frenkel , Pieter Rein ten Wolde

I give an overview of rare event simulation techniques to generate dynamical pathways across high free energy barriers. The methods on which I will concentrate are the reactive flux approach, transition path sampling, (replica-exchange)…

Statistical Mechanics · Physics 2015-03-17 Titus S. van Erp

We briefly review simulation schemes for the investigation of rare transitions and we resume the recently introduced Transition Interface Sampling, a method in which the computation of rate constants is recast into the computation of fluxes…

Statistical Mechanics · Physics 2009-11-10 Daniele Moroni , Titus S. van Erp , Peter G. Bolhuis

Rare events are processes that occur upon the emergence of unlikely fluctuations. Unlike what their name suggests, rare events are fairly ubiquitous in nature, as the occurrence of many structural transformations in biology and material…

Statistical Mechanics · Physics 2020-02-26 Sarwar Hussain , Amir Haji-Akbari

Understanding the dynamics of complex molecular processes is often linked to the study of infrequent transitions between long-lived stable states. The standard approach to the sampling of such rare events is to generate an ensemble of…

Computational Physics · Physics 2023-05-22 Sebastian Falkner , Alessandro Coretti , Salvatore Romano , Phillip Geissler , Christoph Dellago

The development of enhanced sampling methods has greatly extended the scope of atomistic simulations, allowing long-time phenomena to be studied with accessible computational resources. Many such methods rely on the identification of an…

Computational Physics · Physics 2022-06-08 Luigi Bonati , GiovanniMaria Piccini , Michele Parrinello

Although many computational methods for rare event sampling exist, this type of calculation is not usually practical for general nonequilibrium conditions, with macroscopically irreversible dynamics and away from both stationary and…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Joshua T. Berryman , Tanja Schilling

Importance sampling is a rare event simulation technique used in Monte Carlo simulations to bias the sampling distribution towards the rare event of interest. By assigning appropriate weights to sampled points, importance sampling allows…

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