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A novel mixed quantum-classical approach to simulating nonadiabatic dynamics of molecules at metal surfaces is presented. The method combines the numerically exact hierarchical equations of motion approach for the quantum electronic degrees…

Mesoscale and Nanoscale Physics · Physics 2024-05-06 Samuel L. Rudge , Christoph Kaspar , Robin L. Grether , Steffen Wolf , Gerhard Stock , Michael Thoss

We present a new method of conducting molecular dynamics simulation in isothermal-isobaric ensemble based on Langevin equations of motion. The stochastic coupling to all particle and cell degrees of freedoms is introduced in a correct way,…

Statistical Mechanics · Physics 2016-04-28 Xingyu Gao , Jun Fang , Han Wang

We show a unified second-order scheme for constructing simple, robust and accurate algorithms for typical thermostats for configurational sampling for the canonical ensemble. When Langevin dynamics is used, the scheme leads to the BAOAB…

Chemical Physics · Physics 2017-10-17 Zhijun Zhang , Xinzijian Liu , Zifei Chen , Haifeng Zheng , Kangyu Yan , Jian Liu

Work belongs to the most basic notions in thermodynamics but it is not well understood in quantum systems, especially in open quantum systems. By introducing a novel concept of work functional along individual Feynman path, we invent a new…

Statistical Mechanics · Physics 2018-07-30 Ken Funo , H. T. Quan

We introduce a new class of Fokker-Planck equations associated with an effective generalized thermodynamical framework. These equations describe a gas of Langevin particles in interaction. The free energy can take various forms which can…

Statistical Mechanics · Physics 2009-11-11 Pierre-Henri Chavanis

A full implementation of the Boltzmann-Langevin equation for fermionic systems is introduced in a transport model for dissipative collisions among heavy nuclei. Fluctuations are injected in phase space and not, like in more conventional…

Nuclear Theory · Physics 2013-02-04 P. Napolitani , M. Colonna

Interacting argon atoms are simulated with a recently developed quantum Langevin transport treatment that takes approximate account of the quantum fluctuations inherent in microscopic many-body descriptions based on wave packets. The mass…

Statistical Mechanics · Physics 2009-10-28 A. Ohnishi , J. Randrup

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

For a system at given temperature, with energy known as a function of a set of variables, we obtain the thermal fluctuation of the evolution of the variables by replacing the phase-space with a lattice and invoking the principle of detailed…

Statistical Mechanics · Physics 2010-07-26 Jorge Berger

In this paper, we investigate the use of variational quantum algorithms for simulating the thermodynamic properties of dinuclear metal complexes. Our study highlights the potential of quantum computing to transform advanced simulations and…

Quantum Physics · Physics 2024-10-28 Ana Clara das Neves Silva , Clebson Cruz

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

The effects of quantum and thermal corrections on the dynamics of a damped nonlinearly kicked harmonic oscillator are studied. This is done via the Quantum Langevin Equation formalism working on a truncated moment expansion of the density…

Quantum Physics · Physics 2007-05-23 M. Rodriguez-Achach , G. Perez , H. Cerdeira

We study the Langevin dynamics of diffusive particles with regular pairwise interactions under mean-field scaling. By approximating empirical distributions with conditional distributions, we establish coercive and contractive properties for…

Probability · Mathematics 2026-05-28 Songbo Wang

We show how the path-integral formulation of quantum statistical mechanics can be used to construct practical {\em ab initio} techniques for computing the chemical potential of molecules adsorbed on surfaces, with full inclusion of quantum…

Materials Science · Physics 2015-05-18 D. Alfe` , M. J. Gillan

This note provides an introduction to molecular dynamics, the computational implementation of the theory of statistical physics. The discussion is focused on the properties of Langevin dynamics, a degenerate stochastic differential equation…

Analysis of PDEs · Mathematics 2021-12-16 Gabriel Stoltz

This article discusses the numerical result predicted by the quantum Langevin equation of the generalized diffusion function of a Brownian particle immersed in an Ohmic quantum bath of harmonic oscillators. The time dependence of the…

Quantum Physics · Physics 2019-12-03 Pedro J. Colmenares

We recently showed that the dynamics of coarse-grained observables in systems out of thermal equilibrium are governed by the non-stationary generalized Langevin equation [J. Chem. Phys. 147, 214110 (2017), J. Chem. Phys. 150, 174118…

Statistical Mechanics · Physics 2021-05-21 Fabian Glatzel , Tanja Schilling

We study the evolution of an open quantum system using a Langevin unravelling of the density matrix evolution over matrix product states. As the strength of coupling to and temperature of the environment is increased, we find a transition…

Quantum Physics · Physics 2021-11-15 F. Azad , A. Hallam , J. Morley , A. G. Green

The theory of quantum thermodynamics investigates how the concepts of heat, work, and temperature can be carried over to the quantum realm, where fluctuations and randomness are fundamentally unavoidable. These lecture notes provide an…

Quantum Physics · Physics 2026-04-17 Patrick P. Potts

The simulation of quantum processes is a key goal for the grand programme aiming at grounding quantum technologies as the way to explore complex phenomena that are inaccessible through standard, classical calculators. Some interesting steps…

Quantum Physics · Physics 2013-06-12 Andrea Chiuri , Chiara Greganti , Laura Mazzola , Mauro Paternostro , Paolo Mataloni
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