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Brownian motion near soft surfaces is a situation widely encountered in nanoscale and biological physics. However, a complete theoretical description is lacking to date. Here, we theoretically investigate the dynamics of a two-dimensional…

Soft Condensed Matter · Physics 2025-10-01 Yilin Ye , Yacine Amarouchene , Raphaël Sarfati , David S. Dean , Thomas Salez

We present a new and improved method for simultaneous control of temperature and pressure in molecular dynamics simulations with periodic boundary conditions. The thermostat-barostat equations are build on our previously developed…

Statistical Mechanics · Physics 2014-11-20 Niels Grønbech-Jensen , Oded Farago

We present an efficient method to mix well converged ab initio forces with simpler and faster ones in molecular dynamics. While the cheap forces are evaluated every time step, the converged ones correct the trajectory only every n time…

Materials Science · Physics 2009-11-10 E. Anglada , J. Junquera , J. M. Soler

Optimization under structural constraints is typically analyzed through projection or penalty methods, obscuring the geometric mechanism by which constraints shape admissible dynamics. We propose an operator-theoretic formulation in which…

Optimization and Control · Mathematics 2026-03-10 Changkai Li

The study of real time dynamics of nuclear systems is of great importance to provide theoretical predictions of cross sections relevant for both terrestrial experiments as well as applications in astrophysics. First principles simulations…

Quantum Physics · Physics 2025-11-10 Luca Spagnoli , Chiara Lissoni , Alessandro Roggero

We derive a convex optimization problem on a steady-state nonequilibrium network of biochemical reactions, with the property that energy conservation and the second law of thermodynamics both hold at the problem solution. This suggests a…

Molecular Networks · Quantitative Biology 2011-09-20 Ronan M. T. Fleming , Christopher M. Maes , Michael A. Saunders , Yinyu Ye , Bernhard Ø. Palsson

We show how vibronic spectra in molecular systems can be simulated in an efficient and accurate way using first principles approaches without relying on the explicit use of multiple Born-Oppenheimer potential energy surfaces. We demonstrate…

Chemical Physics · Physics 2024-03-01 Kevin Lively , Guillermo Albareda , Shunsuke A. Sato , Aaron Kelly , Angel Rubio

We propose a simple microscopic model of molecular dynamics simulation to study orientational glass in three dimensions. We present simulation results for mixtures of mildly anisotropic particles and spherical impurities. We realize fcc…

Soft Condensed Matter · Physics 2012-10-29 Kyohei Takae , Akira Onuki

We have performed orbital free ab initio molecular dynamics simulations in order to study the thermal behaviour of two open surfaces of solid metallic systems, namely the (110) face of fcc Al and the (10-10) face of hcp Mg. Our results…

Materials Science · Physics 2007-05-23 Luis E. Gonzalez , David J. Gonzalez

Extended Lagrangian molecular dynamics (XLMD) is a general method for performing molecular dynamics simulations using quantum and classical many-body potentials. Recently several new XLMD schemes have been proposed and tested on several…

Numerical Analysis · Mathematics 2020-02-28 Dong An , Sara Y. Cheng , Teresa Head-Gordon , Lin Lin , Jianfeng Lu

We introduce a general technique to compute finite temperature electronic properties by a novel covariant formulation of the electronic partition function. By using a rigorous variational upper bound to the free energy we are led to the…

Strongly Correlated Electrons · Physics 2013-06-19 Guglielmo Mazzola , Andrea Zen , Sandro Sorella

All-atom and coarse-grained molecular dynamics are two widely used computational tools to study the conformational states of proteins. Yet, these two simulation methods suffer from the fact that without access to supercomputing resources,…

Quantitative Methods · Quantitative Biology 2022-06-13 Gregory Schwing , Luigi L. Palese , Ariel Fernández , Loren Schwiebert , Domenico L. Gatti

The equations of motion for electromechanical systems are traced back to the fundamental Lagrangian of particles and electromagnetic fields, via the Darwin Lagrangian. When dissipative forces can be neglected the systems are conservative…

Classical Physics · Physics 2009-11-13 Hanno Essen

We investigate the motion of a colloidal particle driven out of equilibrium by an external torque. We use the molecular dynamics simulation that is alternative to the numerical integration approach based on the Langevin equation and is…

Statistical Mechanics · Physics 2017-03-08 Donghwan Yoo , Youngkyun Jung , Chulan Kwon

We investigate the quantum many-body dynamics of dissociation of a Bose-Einstein condensate of molecular dimers into pairs of constituent bosonic atoms and analyze the resulting atom-atom correlations. The quantum fields of both the…

Other Condensed Matter · Physics 2007-05-23 C. M. Savage , P. E. Schwenn , K. V. Kheruntsyan

We introduce a scheme for deriving an optimally-parametrised Langevin dynamics of few collective variables from data generated in molecular dynamics simulations. The drift and the position-dependent diffusion profiles governing the Langevin…

Statistical Mechanics · Physics 2008-08-22 Cristian Micheletti , Giovanni Bussi , Alessandro Laio

We present a unique derivation of metadynamics. The starting point for the derivation is an on-the-fly reweighting scheme but through an approximation we recover the standard metadynamics and the well-tempered metadynamics in a general form…

Statistical Mechanics · Physics 2011-11-10 Bradley M. Dickson

A simple variational Lagrangian is proposed for the time development of an arbitrary density matrix, employing the "factorization" of the density. Only the "kinetic energy" appears in the Lagrangian. The formalism applies to pure and mixed…

Fluid Dynamics · Physics 2009-11-10 R. Englman , A. Yahalom

Molecular dynamics is a powerful method for studying the behaviour of materials at high temperature. In practice, however, its effectiveness in representing real systems is limited by the accuracy of the forces, finite size effects,…

Materials Science · Physics 2016-06-14 Graeme J Ackland , Ioan B Magdău

Optical micro-manipulation techniques has evolved into powerful tools to efficiently steer the motion of microscopical particles on periodic and quasi-periodic potentials, driven by the external electromagnetic field. Here, the dynamics of…

Atomic Physics · Physics 2018-11-13 Aliezer Martínez-Mesa , Llinersy Uranga Piña
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