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We investigate the theoretical foundations of the simulated tempering method and use our findings to design efficient algorithms. Employing a large deviation argument first used for replica exchange molecular dynamics [Plattner et al., J.…

化学物理 · 物理学 2019-02-08 Anton Martinsson , Jianfeng Lu , Benedict Leimkuhler , Eric Vanden-Eijnden

We showcase the utility of the Lagrangian descriptors method in qualitatively understanding the underlying dynamical behavior of dynamical systems governed by fractional-order differential equations. In particular, we use the Lagrangian…

混沌动力学 · 物理学 2025-02-07 Dylan Theron , Hadi Susanto , Makrina Agaoglou , Charalampos Skokos

We present a novel method for drawing samples from Gibbs distributions with densities of the form $\pi(x) \propto \exp(-U(x))$. The method accelerates the unadjusted Langevin algorithm by introducing an inertia term similar to Polyak's…

数值分析 · 数学 2025-10-09 Alexander Falk , Andreas Habring , Christoph Griesbacher , Thomas Pock

Long global gyrokinetic turbulence simulations are particularly challenging in situations where the system deviates strongly from its initial state and when fluctuation level are high e.g. in strong gradient regions. For Particle-in-Cell…

等离子体物理 · 物理学 2022-11-09 Moahan Murugappan , Laurent Villard , Stephan Brunner , Ben Fynney McMillan , Alberto Bottino

A new method is presented for performing first-principles molecular-dynamics simulations of systems with variable occupancies. We adopt a matrix representation for the one-particle statistical operator Gamma, to introduce a ``projected''…

材料科学 · 物理学 2009-10-30 Nicola Marzari , David Vanderbilt , M. C. Payne

We have developed and implemented a new quantum molecular dynamics approximation that allows fast and accurate simulations of dense plasmas from cold to hot conditions. The method is based on a carefully designed orbital-free implementation…

等离子体物理 · 物理学 2015-06-22 Travis Sjostrom , Jerome Daligault

We report the development of a variable-temperature Kelvin probe force microscopy (KPFM) system capable of stable and highly sensitive operation over a wide temperature range based on a GM-cooler-based cryogen-free cryostat. The system…

应用物理 · 物理学 2025-07-15 Namkyung Lee , Seungwon Jung , Baeksan Jang , Sangwook Ha , Joonho Jang

We introduce a generative modeling framework for thermodynamic computing, in which structured data is synthesized from noise by the natural time evolution of a physical system governed by Langevin dynamics. While conventional diffusion…

统计力学 · 物理学 2025-11-03 Stephen Whitelam

Multiple time scale molecular dynamics enhances computational efficiency by updating slow motions less frequently than fast motions. However, in practice the largest outer time step possible is limited not by the physical forces but by…

统计力学 · 物理学 2011-01-13 Joseph A. Morrone , Thomas E. Markland , Michele Ceriotti , B. J. Berne

Non-equilibrium molecular dynamics simulations, of crucial importance in sliding friction, are hampered by arbitrariness and uncertainties in the removal of the frictionally generated Joule heat. Building upon general pre-existing…

材料科学 · 物理学 2012-08-29 A. Benassi , A. Vanossi , G. E. Santoro , E. Tosatti

In the replica-exchange molecular dynamics method, where constant-temperature molecular dynamics simulations are performed in each replica, one usually rescales the momentum of each particle after replica exchange. This rescaling method had…

统计力学 · 物理学 2010-04-14 Yoshiharu Mori , Yuko Okamoto

We present a multiscale modeling approach that integrates molecular dynamics simulations, machine learning, and the Elastically Collective Nonlinear Langevin Equation (ECNLE) theory to investigate the glass transition dynamics of polymer…

软凝聚态物质 · 物理学 2026-01-21 Nguyen T. T. Duyen , Ngo T. Que , Anh D. Phan

Because most chemical or biological experiments are performed under conditions of controlled pressure and temperature, it is important to simulate the isobaric-isothermal ensemble at the atomic level to reveal the microscopic mechanism. By…

统计力学 · 物理学 2025-04-14 Weihao Liang , Sihan Wang , Cong Wang , Weizhou Wang , Xinchen She , Chongbin Wang , Jiushu Shao , Jian Liu

Accurate learning of system dynamics is becoming increasingly crucial for advanced control and decision-making in engineering. However, real-world systems often exhibit multiple channels and highly nonlinear transition dynamics, challenging…

机器学习 · 统计学 2025-10-20 Tengjie Zheng , Jilan Mei , Di Wu , Lin Cheng , Shengping Gong

Most deterministic schemes for controlling temperature by kinetic variables (NH thermsotat), configurational variables (BT thermostat) and all phase space variables (PB thermostat) are non-ergodic for systems with a few degrees of freedom.…

统计力学 · 物理学 2014-11-11 Puneet Kumar Patra , Baidurya Bhattacharya

Thermodynamic computing harnesses the relaxation dynamics of physical systems to perform matrix operations. A key limitation of such approaches is the often long thermalization time required for the system to approach equilibrium with…

统计力学 · 物理学 2026-03-26 Mattia Moroder , Felix C. Binder , John Goold

The Gaussian Kinematic Formula (GKF) is a powerful and computationally efficient tool to perform statistical inference on random fields and became a well-established tool in the analysis of neuroimaging data. Using realistic error models,…

统计方法学 · 统计学 2024-04-17 Fabian JE Telschow , Samuel Davenport

Geometric tempering is a popular approach to sampling from challenging multi-modal probability distributions by instead sampling from a sequence of distributions which interpolate, using the geometric mean, between an easier proposal…

机器学习 · 统计学 2025-04-09 Omar Chehab , Anna Korba , Austin Stromme , Adrien Vacher

Geometric numerical integration has recently been exploited to design symplectic accelerated optimization algorithms by simulating the Lagrangian and Hamiltonian systems from the variational framework introduced in Wibisono et al. In this…

最优化与控制 · 数学 2023-05-19 Valentin Duruisseaux , Melvin Leok

This paper is the second in a series devoted to the study of Langevin systems subjected to a continuous time-delayed feedback control. The goal of our previous paper [Phys. Rev. E 91, 042114 (2015)] was to derive second-law-like…

统计力学 · 物理学 2017-03-01 M. L. Rosinberg , G. Tarjus , T. Munakata