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We proposed a new technique to accelerate sampling methods for solving difficult optimization problems. Our method investigates the intrinsic connection between posterior distribution sampling and optimization with Langevin dynamics, and…

Machine Learning · Computer Science 2023-01-31 Junlong Lyu , Zhitang Chen , Wenlong Lyu , Jianye Hao

First-principles particle-in-cell (PIC) simulation is a powerful tool for understanding plasma behavior, but this power often comes at great computational expense. Artificially reducing the ion/electron mass ratio is a time-honored practice…

Plasma Physics · Physics 2022-01-14 Gregory R. Werner , Scott Robertson , Thomas G. Jenkins , Andrew M. Chap , John R. Cary

We introduce two new thermostats, one of Langevin type and one of gradient (Brownian) type, for rigid body dynamics. We formulate rotation using the quaternion representation of angular coordinates; both thermostats preserve the unit length…

Computational Physics · Physics 2015-06-12 R. L. Davidchack , T. E. Ouldridge , M. V. Tretyakov

A recently proposed method for computer simulations in the isothermal-isobaric (NPT) ensemble, based on Langevin-type equations of motion for the particle coordinates and the ``piston'' degree of freedom, is re-derived by straightforward…

Soft Condensed Matter · Physics 2016-08-31 A. Kolb , B. Duenweg

Methods to efficiently determine the relative stability of polymorphs of organic crystals are highly desired in crystal structure predictions (CSPs). Current methodologies include use of static lattice phonons, quasi-harmonic approximation…

Materials Science · Physics 2020-06-08 Nathan S. Abraham , Michael R. Shirts

When simulating molecular systems using deterministic equations of motion (e.g., Newtonian dynamics), such equations are generally numerically integrated according to a well-developed set of algorithms that share commonly agreed-upon…

Computational Physics · Physics 2014-08-08 David A. Sivak , John D. Chodera , Gavin E. Crooks

Imaginary-time path integral (PI) is a rigorous tool to compute static properties at finite temperatures. However, the stiff PI internal modes poses a sampling challenge. This is commonly tackled using staging coordinates, in which the free…

Statistical Mechanics · Physics 2024-08-23 Sabry G. Moustafa , Andrew J. Schultz

A systematic comparison was carried out to assess the influence of representative thermostat methods in constant-temperature molecular dynamics simulations. The thermostat schemes considered include the Nos\'e--Hoover thermostat and its…

Computational Physics · Physics 2026-04-24 Kumpei Shiraishi , Emi Minamitani , Kang Kim

Dissipative particle dynamics (DPD) and multi-particle collision (MPC) dynamics are powerful tools to study mesoscale hydrodynamic phenomena accompanied by thermal fluctuations. To understand the advantages of these types of mesoscale…

Soft Condensed Matter · Physics 2009-11-11 Hiroshi Noguchi , Norio Kikuchi , Gerhard Gompper

Transition of a system between two states is an important but difficult problem in natural science. In this article we study the transition problem in the framework of transition path ensemble. Using the overdamped Langevin method, we…

Statistical Mechanics · Physics 2023-02-01 De-Zhang Li , Jia-Rui Zeng , Wei-Jie Huang , Yao Yao , Xiao-Bao Yang

The numerical investigation of the statics and dynamics of systems in nonequilibrium in general, and under shear flow in particular, has become more and more common. However, not all the numerical methods developed to simulate equilibrium…

Soft Condensed Matter · Physics 2019-02-08 José Ruiz-Franco , Lorenzo Rovigatti , Emanuela Zaccarelli

The critical step in a molecular process is often a rare-event and has to be simulated by an enhanced sampling protocol. Recovering accurate dynamical estimates from such biased simulation is challenging. Girsanov reweighting is a method to…

Statistical Mechanics · Physics 2023-03-28 Stefanie Kieninger , Simon Ghysbrecht , Bettina G. Keller

We demonstrate an efficient and accurate, general-purpose first-principles blueprint for calculating anharmonic vibrational free energy and predicting structural phase transition temperatures of solids. Thermodynamic integration is…

Materials Science · Physics 2024-03-14 Junsoo Park , Zhigang Wu , John W. Lawson

The complex Langevin method (CLM) is a promising tool to address the sign problem in quantum field theories with complex actions. However, it can converge to incorrect results even when simulations appear stable, highlighting the need for…

High Energy Physics - Lattice · Physics 2026-03-27 Anosh Joseph , Arpith Kumar

Langevin integrators based on operator splitting are widely used in molecular dynamics. This work examines Langevin splitting schemes from the perspective of their internal trajectories and observation points, complementing existing…

Statistical Mechanics · Physics 2026-02-03 Bettina G. Keller

Accounting for nuclear quantum effects (NQEs) can significantly alter material properties at finite temperatures. Atomic modeling using the path-integral molecular dynamics (PIMD) method can fully account for such effects, but requires…

Materials Science · Physics 2025-05-21 A. A. Solovykh , N. E. Rybin , I. S. Novikov , A. V. Shapeev

We implement the statistically sound G-JF thermostat for Langevin Dynamics simulations into the ESPREesSo molecular package for large-scale simulations of soft matter systems. The implemented integration method is tested against the…

Computational Physics · Physics 2016-08-17 Evyatar Arad , Oded Farago , Niels Grønbech-Jensen

For a long time, performing converged path integral simulations at ultra-low, but finite temperatures of a few Kelvin has been a nearly impossible task. However, recent developments in advanced colored noise thermostatting schemes for path…

Chemical Physics · Physics 2021-03-25 Christoph Schran , Fabien Brieuc , Dominik Marx

Advanced thermostats for molecular dynamics are proposed on the base of the rigorous Langevin dynamics. Because the latter accounts for the subsystem-bath interactions in details, the bath anisotropy and nonuniformity are described via the…

Statistical Mechanics · Physics 2023-10-03 Roumen Tsekov

Path-integral molecular dynamics (PIMD) simulations are crucial for accurately capturing nuclear quantum effects in materials. However, their computational intensity and reliance on multiple software packages often limit their applicability…