English
Related papers

Related papers: Dynamical Rare event simulation techniques for equ…

200 papers

In comparison to numerous enhanced sampling methods for equilbrium thermodynamics, accelerating simulations for kinetics and nonequilibrium statistics are relatively rare and less effective. Here we derive a time-reversal path sampling…

Chemical Physics · Physics 2023-11-10 Zhirong Liu

A general framework for performing event-driven simulations of systems with semi-flexible or rigid bodies interacting under impulsive torques and forces is outlined. Two different approaches are presented. In the first, the dynamics and…

Statistical Mechanics · Physics 2007-05-23 Lisandro Hernandez de la Pena , Ramses van Zon , Jeremy Schofield , Sheldon B. Opps

Finding and sampling rare trajectories in dynamical systems is a difficult computational task underlying numerous problems and applications. In this paper we show how to construct Metropolis- Hastings Monte Carlo methods that can…

Chaotic Dynamics · Physics 2017-10-16 Jorge C. Leitao , Joao M. Viana Parente Lopes , Eduardo G. Altmann

The kinetics of collective rearrangements in solution, such as protein folding and nanocrystal phase transitions, often involve free energy barriers that are both long and rough. Applying methods of transition path sampling to harvest…

Statistical Mechanics · Physics 2009-11-13 M. Grünwald , P. L. Geissler , C. Dellago

Molecular systems often remain trapped for long times around some local minimum of the potential energy function, before switching to another one -- a behavior known as metastability. Simulating transition paths linking one metastable state…

Machine Learning · Statistics 2023-02-02 Tony Lelièvre , Geneviève Robin , Inass Sekkat , Gabriel Stoltz , Gabriel Victorino Cardoso

Hamiltonian Flow Monte Carlo(HFMC) methods have been implemented in engineering, biology and chemistry. HFMC makes large gradient based steps to rapidly explore the state space. The application of the Hamiltonian dynamics allows to estimate…

Computation · Statistics 2017-09-06 Raphael Douady , Shohruh Miryusupov

This article analyzes and compares two general techniques of rare event simulation for generating paths of Markov processes over fixed time horizons: exponential tilting and stochastic bridge. These two methods allow to accurately compute…

Statistical Mechanics · Physics 2025-08-27 Javier Aguilar , Riccardo Gatto

Rare events in non-linear dynamical systems are difficult to sample because of the sensitivity to perturbations of initial conditions and of complex landscapes in phase space. Here we discuss strategies to control these difficulties and…

Statistical Mechanics · Physics 2019-04-18 Jorge C. Leitao , Joao M. V. P. Lopes , Eduardo G. Altmann

The computer simulation of many molecular processes is complicated by long time scales caused by rare transitions between long-lived states. Here, we propose a new approach to simulate such rare events, which combines transition path…

Computational Physics · Physics 2023-03-23 Sebastian Falkner , Alessandro Coretti , Christoph Dellago

The problem of observing rare events is pervasive among the molecular dynamics community and an array of different types of methods are commonly used to accelerate these long timescale processes. Typically, rare event acceleration methods…

We introduce a rigorous method to microscopically compute the observables which characterize the thermodynamics and kinetics of rare macromolecular transitions for which it is possible to identify a priori a slow reaction coordinate. In…

Biomolecules · Quantitative Biology 2015-06-05 P. Faccioli , F. Pederiva

Extreme weather events epitomize high cost: to society through their physical impacts, and to computer servers that simulate them to assess risk and advance physical understanding. It costs hundreds of simulation years to sample a few…

Atmospheric and Oceanic Physics · Physics 2026-04-14 Justin Finkel , Paul A. O'Gorman

Many processes in chemistry, physics, and biology involve rare events in which the system escapes from a metastable state by surmounting an activation barrier. Examples range from chemical reactions, protein folding, and nucleation events…

Chemical Physics · Physics 2020-10-07 Niels Zijlstra , Daniel Nettels , Rohit Satija , Dmitrii E. Makarov , Benjamin Schuler

Due to the time scale problem, rare events are not accessible by straight forward molecular dynamics. The presence of multiple reaction channels complicates the problem even further. The feasibility of the standard free energy based methods…

Statistical Mechanics · Physics 2009-11-13 Titus S. van Erp

Transition interface sampling (TIS) and replica exchange TIS (RETIS) are powerful methods for computing rates of rare events inaccessible to straightforward molecular dynamics (MD) simulations. Path reweighting extends their output,…

Chemical Physics · Physics 2026-05-15 Titus S. van Erp , Daniel T. Zhang , Elias Wils , Sina Safaei , An Ghysels

Direct simulation of biomolecular dynamics in thermal equilibrium is challenging due to the metastable nature of conformation dynamics and the computational cost of molecular dynamics. Biased or enhanced sampling methods may improve the…

Chemical Physics · Physics 2015-06-12 Benjamin Trendelkamp-Schroer , Frank Noe

In many dynamical systems there is a large separation of time scales between typical events and "rare" events which can be the cases of interest. Rare-event rates are quite difficult to compute numerically, but they are of considerable…

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

The replica exchange method is a powerful tool for overcoming slow relaxation in molecular simulations, but its efficiency depends strongly on the choice of the number and interval of replicas and their exchange probabilities. Here, we…

Statistical Mechanics · Physics 2025-06-04 Akie Kowaguchi , Katsuhiro Endo , Kentaro Nomura , Shuichi Kurabayashi , Paul E. Brumby , Kenji Yasuoka

This article presents a multi-physics methodology for the numerical simulation of physical systems that involve the non-linear interaction of multi-phase reactive fluids and elastoplastic solids, inducing high strain-rates and high…

Computational Physics · Physics 2021-06-04 Tim Wallis , Philip T. Barton , Nikolaos Nikiforakis

An open question in the field of non-equilibrium statistical physics is whether there exists a unique way through which non-equilibrium systems equilibrate irrespective of how far they are away from equilibrium. To answer this question we…

Statistical Mechanics · Physics 2014-03-14 P. Barat , A. Giri , Nilangshu K. Das , M. Bhattacharya , A. Dutta