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As with many parts of the natural sciences, machine learning interatomic potentials (MLIPs) are revolutionizing the modeling of molecular crystals. However, challenges remain for the accurate and efficient calculation of sublimation…

Machine learning techniques including neural networks are popular tools for materials and chemical scientists with applications that may provide viable alternative methods in the analysis of structure and energetics of systems ranging from…

统计力学 · 物理学 2022-03-02 James Andrews , Olga Gkountouna , Estela Blaisten-Barojas

With the development of PMUs in power systems, the response-based real-time emergency control becomes a promising way to prevent power outages when power systems are subjected to large disturbances. The first step in the emergency control…

系统与控制 · 电气工程与系统科学 2026-03-31 Songhao Yang , Zhiguo Hao , Baohui Zhang , Masahide Hojo

A mixed-integer linear programming (MILP) formulation is presented for parameter estimation of the Potts model. Two algorithms are developed; the first method estimates the parameters such that the set of ground states replicate the…

数据结构与算法 · 计算机科学 2021-02-03 Siddhartha Srivastava , Veera Sundararaghavan

Machine Learning Interatomic Potentials (MLIPs) are a modern computational method that allows achieving near-quantum mechanical accuracy (DFT) while still describing large-scale systems in molecular dynamics (MD) simulations. In this work,…

Under certain conditions, the dynamics of coarse-grained models of solvated proteins can be described using a Markov state model, which tracks the evolution of populations of configurations. The transition rates among states that appear in…

软凝聚态物质 · 物理学 2022-09-26 Margarita Colberg , Jeremy Schofield

Stochastic modeling of reaction networks is a framework used to describe the time evolution of many natural and artificial systems, including, biochemical reactive systems at the molecular level, viral kinetics, the spread of epidemic…

数值分析 · 数学 2014-06-10 Alvaro Moraes , Raul Tempone , Pedro Vilanova

A popular Adam--Gibbs scenario has suggested that the excess entropy of glass and liquid over crystal dominates the dynamical arrest at the glass transition with exclusive contribution from configurational entropy over vibrational entropy.…

软凝聚态物质 · 物理学 2020-02-05 Dong Han , Dan Wei , Jie Yang , Hui-Ling Li , Min-Qiang Jiang , Yun-Jiang Wang , Lan-Hong Dai , Alessio Zaccone

The information processing capacity of a complex dynamical system is reflected in the partitioning of its state space into disjoint basins of attraction, with state trajectories in each basin flowing towards their corresponding attractor.…

无序系统与神经网络 · 物理学 2007-05-23 Peter Krawitz , Ilya Shmulevich

For a single enzyme or molecular motor operating in an aqueous solution of non-equilibrated solute concentrations, a thermodynamic description is developed on the level of an individual trajectory of transitions between states. The concept…

统计力学 · 物理学 2012-05-21 Udo Seifert

Deep learning has revolutionized modern society but faces growing energy and latency constraints. Deep physical neural networks (PNNs) are interconnected computing systems that directly exploit analog dynamics for energy-efficient,…

The essence of a chemical reaction lies in the redistribution and reorganization of electrons, which is often manifested through electron transfer or the migration of electron pairs. These changes are inherently discrete and abrupt in the…

机器学习 · 计算机科学 2025-07-14 Haitao Lin , Junjie Wang , Zhifeng Gao , Xiaohong Ji , Rong Zhu , Linfeng Zhang , Guolin Ke , Weinan E

We systematically investigate the entanglement and information dynamics of quasiperiodic systems across their extended, critical, and localized phases, aiming to identify dynamical signatures that can reveal the multifractal spatial…

无序系统与神经网络 · 物理学 2026-05-21 Huaijin Dong , Long Zhang

Active systems are characterized by a continuous production of entropy at steady state. We study the statistics of entropy production within a lattice-based model of interacting active particles that is capable of motility-induced phase…

统计力学 · 物理学 2022-12-21 Tal Agranov , Michael E. Cates , Robert L. Jack

The low-temperature driven or thermally activated motion of several condensed matter systems is often modeled by the dynamics of interfaces (co-dimension-1 elastic manifolds) subject to a random potential. Two characteristic quantitative…

无序系统与神经网络 · 物理学 2009-10-31 A. Alan Middleton

Math Word Problems (MWP) aims to automatically solve mathematical questions given in texts. Previous studies tend to design complex models to capture additional information in the original text so as to enable the model to gain more…

计算与语言 · 计算机科学 2026-01-12 Jing Xiong , Chengming Li , Min Yang , Xiping Hu , Bin Hu

We investigate the nonequilibrium stationary states of systems consisting of chemical reactions among molecules of several chemical species. To this end we introduce and develop a stochastic formulation of nonequilibrium thermodynamics of…

统计力学 · 物理学 2018-07-04 Tânia Tomé , Mário J. de Oliveira

Traditional stochastic modeling of reactive systems limits the domain of applicability of the associated path thermodynamics to systems involving a single elementary reaction at the origin of each observed change in composition. An…

统计力学 · 物理学 2023-01-18 F. Baras , A. L. Garcia , M. Malek Mansour

Scenario pathways (e.g. for the energy transition) often use a single trajectory or a band. That is not sufficient when one needs to understand why outcomes differ and under what stress or uncertainty they arise. Doing so requires tracking…

应用物理 · 物理学 2026-04-24 Andrew G. Ross

This letter highlights the entropy exchange phenomenon in a coupled binary inter-correlating system following Haldane's non-linear statistical correlation. A unique coupling between a classical and a quantum-like system at the marginal…

统计力学 · 物理学 2025-05-22 Projesh Kumar Roy