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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

A path-integral hybrid Monte Carlo approach with enveloping bridging potentials (PIHMC-EBP) is proposed for calculating numerically exact tunneling splittings in molecular systems. The central idea is to construct an approximately…

化学物理 · 物理学 2026-04-15 Yu-Chen Wang , Jeremy O. Richardson

Enhanced sampling methods typically require predefined collective variables (CVs) that presuppose knowledge of reaction coordinates, restricting the discovery of unanticipated transition mechanisms or intermediates. Here, we show that a…

化学物理 · 物理学 2026-04-08 Xiangrui Li , Daniel Schwalbe-Koda

Hybrid modelling enhances the accuracy and predictive capability of dynamic models by integrating first principles with data-driven methods, effectively mitigating epistemic uncertainties inherent in mechanistic approaches. However, hybrid…

动力系统 · 数学 2025-06-17 Ulderico Di Caprio , M. Enis Leblebici

The notion of entropy is shared between statistics and thermodynamics, and is fundamental to both disciplines. This makes statistical problems particularly suitable for reaction network implementations. In this paper we show how to perform…

分子网络 · 定量生物学 2017-04-07 Muppirala Viswa Virinchi , Abhishek Behera , Manoj Gopalkrishnan

Machine learning interatomic potentials (MLIPs) enable efficient modeling of molecular interactions with quantum mechanical (QM) accuracy. However, constructing robust and representative training datasets that capture subtle,…

化学物理 · 物理学 2026-01-28 Lejia Zeng , Xintong Zhang , Yuchan Pei , Lifeng Zhao , Lan Hua , Jincai Yang , Niu Huang

Hybrid quantum/classical techniques can flexibly couple ab initio simulations to an empirical or elastic medium to model materials systems that cannot be contained in small periodic supercells. However, due to electronic non-locality a…

材料科学 · 物理学 2018-03-09 Thomas D. Swinburne , James R. Kermode

Markov processes are widely used mathematical models for describing dynamic systems in various fields. However, accurately simulating large-scale systems at long time scales is computationally expensive due to the short time steps required…

机器学习 · 计算机科学 2024-01-29 Marco Federici , Patrick Forré , Ryota Tomioka , Bastiaan S. Veeling

Using the entropy $S$ as a reaction coordinate, we determine the free energy barrier associated with the formation of a liquid droplet from a supersaturated vapor for atomic and molecular fluids. For this purpose, we develop the $\mu VT-S$…

统计力学 · 物理学 2021-08-25 Caroline Desgranges , Jerome Delhommelle

Accurate atomistic simulations of gas-surface scattering require potential energy surfaces that remain reliable over broad configurational and energetic ranges while retaining the efficiency needed for extensive trajectory sampling. Here,…

Modeling the response of material and chemical systems to electric fields remains a longstanding challenge. Machine learning interatomic potentials (MLIPs) offer an efficient and scalable alternative to quantum mechanical methods but do not…

材料科学 · 物理学 2025-04-08 Peichen Zhong , Dongjin Kim , Daniel S. King , Bingqing Cheng

In simplified models of glasses we clarify the existence of two different kinds of activated dynamics, which coexist, with one of the two dominating over the other. One is the energy barrier hopping that is typically used to picture…

无序系统与神经网络 · 物理学 2022-08-16 Matthew R. Carbone , Marco Baity-Jesi

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

The length-scale dependence of the dynamic entropy is studied in a molecular dynamics simulation of a binary Lennard-Jones liquid above the mode-coupling critical temperature $T_c$. A number of methods exist for estimating the entropy of…

软凝聚态物质 · 物理学 2009-10-31 Paolo Allegrini , Jack F. Douglas , Sharon C. Glotzer

Monte Carlo simulations using entropic sampling to estimate the number of configurations of a given energy are a valuable alternative to traditional methods. We introduce {\it tomographic} entropic sampling, a scheme which uses multiple…

统计力学 · 物理学 2015-05-28 Ronald Dickman , A. G. Cunha-Netto

The major problem in information theoretic analysis of neural responses and other biological data is the reliable estimation of entropy--like quantities from small samples. We apply a recently introduced Bayesian entropy estimator to…

数据分析、统计与概率 · 物理学 2009-09-29 Ilya Nemenman , William Bialek , Rob de Ruyter van Steveninck

Understanding kinetics including reaction pathways and associated transition rates is an important yet difficult problem in numerous chemical and biological systems especially in situations with multiple competing pathways. When these…

计算物理 · 物理学 2021-09-22 Sun-Ting Tsai , Zachary Smith , Pratyush Tiwary

Bifurcation theory is the usual analytic approach to study the parameter space of a dynamical system. Despite the great power of prediction of these techniques, fundamental limitations appear during the study of a given problem. Nonlinear…

混沌动力学 · 物理学 2023-10-02 Alexandre Wagemakers , Alvar Daza , Miguel A. F. Sanjuán

With the formal construction of a thermodynamic spring, I describe the mechanics, energetics, entropy, and kinetics of a binary mechanical model system. A protein that transitions between two metastable structural states behaves as a…

生物物理 · 物理学 2025-01-22 Josh E. Baker

A novel approximation scheme is proposed to describe the dynamics of the spin-boson problem. Being nonperturbative in the coupling strength nor in the tunneling frequency, it gives reliable results over a wide regime of temperatures and…

统计力学 · 物理学 2009-11-13 Francesco Nesi , Elisabetta Paladino , Michael Thorwart , Milena Grifoni