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We introduce a new update scheme to systematically improve the efficiency of parallel tempering simulations. We show that by adapting the number of sweeps between replica exchanges to the canonical autocorrelation time, the average…

统计力学 · 物理学 2008-09-26 Elmar Bittner , Andreas Nussbaumer , Wolfhard Janke

In this paper we present extensions to the original adaptive parallel tempering algorithm. Two different approaches are presented. In the first one we introduce state-dependent strategies using current information to perform a swap step. It…

统计计算 · 统计学 2014-06-25 Mateusz Krzysztof Łącki , Błażej Miasojedow

Parallel tempering, or replica exchange, is a popular method for simulating complex systems. The idea is to run parallel simulations at different temperatures, and at a given swap rate exchange configurations between the parallel…

概率论 · 数学 2016-04-20 J. D. Doll , Paul Dupuis , Pierre Nyquist

We introduce a path sampling method for obtaining statistical properties of an arbitrary stochastic dynamics. The method works by decomposing a trajectory in time, estimating the probability of satisfying a progress constraint, modifying…

统计力学 · 物理学 2015-06-04 Nicholas Guttenberg , Aaron R. Dinner , Jonathan Weare

The Peyrard-Bishop DNA model describes the molecular interactions with simple potentials which allow efficient calculations of melting temperatures. However, it is based on a Hamiltonian that does not consider the helical twist or any other…

生物大分子 · 定量生物学 2020-07-16 Mateus Rodrigues Leal , Gerald Weber

Parallel tempering (PT), also known as replica exchange, is the go-to workhorse for simulations of multi-modal distributions. The key to the success of PT is to adopt efficient swap schemes. The popular deterministic even-odd (DEO) scheme…

机器学习 · 计算机科学 2022-11-22 Wei Deng , Qian Zhang , Qi Feng , Faming Liang , Guang Lin

A variant of the parallel tempering method is proposed in terms of a stochastic switching process for the coupled dynamics of replica configuration and temperature permutation. This formulation is shown to facilitate the analysis of the…

化学物理 · 物理学 2017-12-20 Jianfeng Lu , Eric Vanden-Eijnden

An analysis of the network defined by the potential energy minima of multi-atomic systems and their connectivity via reaction pathways that go through transition states allows to understand important characteristics like thermodynamic,…

材料科学 · 物理学 2016-08-03 Bastian Schaefer , Stefan Goedecker

We study the opportunities for parallelism for the simulation of surface reactions. We introduce the concept of a partition and we give new simulation methods based on Cellular Automaton using partitions. We elaborate on the advantages and…

计算物理 · 物理学 2007-05-23 S. V. Nedea , J. J. Lukkien , A. P. J. Jansen , P. A. J. Hilbers

We describe a new, surprisingly simple algorithm, that simulates exact sample paths of a class of stochastic differential equations. It involves rejection sampling and, when applicable, returns the location of the path at a random…

概率论 · 数学 2007-05-23 Alexandros Beskos , Gareth O. Roberts

Transition Path Theory (TPT) provides a rigorous framework to investigate the dynamics of rare thermally activated transitions. In this theory, a central role is played by the forward committor function q^+(x), which provides the ideal…

统计力学 · 物理学 2018-08-15 G. Bartolucci , S. Orioli , P. Faccioli

The effectiveness of a new algorithm, parallel tempering, is studied for numerical simulations of biological molecules. These molecules suffer from a rough energy landscape. The resulting slowing down in numerical simulations is overcome by…

化学物理 · 物理学 2009-10-30 Ulrich H. E. Hansmann

Reaction paths and probabilities are inferred, in a usual Monte Carlo or Molecular Dynamic simulation, directly from the evolution of the positions of the particles. The process becomes time-consuming in many interesting cases in which the…

统计力学 · 物理学 2011-10-11 Massimiliano Picciani , Manuel Athenes , Jorge Kurchan , Julien Tailleur

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…

统计力学 · 物理学 2009-11-10 Daniele Moroni , Titus S. van Erp , Peter G. Bolhuis

Transition path sampling is a method for estimating the rates of rare events in molecular systems based on the gradual transformation of a path distribution containing a small fraction of reactive trajectories into a biased distribution in…

统计力学 · 物理学 2015-10-28 Pierre Terrier , Mihai-Cosmin Marinica , Manuel Athènes

We study the thermal and mechanical behavior of DNA denaturation in the frame of the mesoscopic Peyrard- Bishop-Dauxois model with the inclusion of solvent interaction. By analyzing the melting transition of a homogeneous A-T sequence, we…

生物物理 · 物理学 2010-09-29 Rafael Tapia-Rojo , Juan J. Mazo , Fernando Falo

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,…

化学物理 · 物理学 2026-05-15 Titus S. van Erp , Daniel T. Zhang , Elias Wils , Sina Safaei , An Ghysels

We present a family of algorithms for the fast determination of reaction paths and barriers in phase space and the computation of the corresponding rates. The method requires the reaction times be large compared to the microscopic time,…

统计力学 · 物理学 2009-11-10 Sorin Tanase-Nicola , Jorge Kurchan

Reaction rates are a complicated function of molecular interactions, which can be selected from vast chemical design spaces. Seeking the design that optimizes a rate is a particularly challenging problem since the rate calculation for any…

统计力学 · 物理学 2020-11-18 Alex Albaugh , Todd R. Gingrich

We have developed a new simulation algorithm for free-energy calculations. The method is a multidimensional extension of the replica-exchange method. While pairs of replicas with different temperatures are exchanged during the simulation in…

统计力学 · 物理学 2009-10-31 Yuji Sugita , Akio Kitao , Yuko Okamoto