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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

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

Sampling from flat energy or density distributions has proven useful in equilibrating complex systems with large energy barriers. Several thermostats and barostats are presented to sample these flat distributions by molecular dynamics.…

Computational Physics · Physics 2015-06-12 Cheng Zhang , Michael W. Deem

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

The origins of thermodynamics from the microscopic properties of matter have not been satisfactorily accounted for. This work presents a formulation that connects Lagrangian mechanics to thermodynamics. By using such a formulation and…

Atomic and Molecular Clusters · Physics 2021-04-05 Eduardo Hernández-Huerta , Ruben Santamaria , Tomás Rocha Rinza

The equations of Lagrangian gas dynamics fall into the larger class of overdetermined hyperbolic and thermodynamically compatible (HTC) systems of partial differential equations. They satisfy an entropy inequality (second principle of…

Numerical Analysis · Mathematics 2023-06-21 Walter Boscheri , Michael Dumbser , Pierre-Henri Maire

A new configurational temperature thermostat suitable for molecules with holonomic constraints is derived. This thermostat has a simple set of motion equations, can generate the canonical ensemble in both position and momentum space, acts…

Statistical Mechanics · Physics 2009-11-13 Karl P. Travis , Carlos Braga

Thermostats are dynamical equations used to model thermodynamic variables such as temperature and pressure in molecular simulations. For computationally intensive problems such as the simulation of biomolecules, we propose to average over…

Computational Physics · Physics 2011-05-13 A. A. Samoletov , C. P. Dettmann , M. A. J. Chaplain

We present a robust reciprocal-space implementation of the temperature-dependent effective potential method. Our implementation can scale easily to large cell and long sampling time. It is interoperable with standard ab-initio molecular…

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

Extended Lagrangian Born-Oppenheimer molecular dynamics [Niklasson, Phys. Rev. Lett. 100 123004 (2008)] has been generalized to the propagation of the electronic wavefunctions. The technique allows highly efficient first principles…

Materials Science · Physics 2011-10-07 Peter Steneteg , Igor A. Abrikosov , Valery Weber , Anders M. N. Niklasson

We study the problem of a potential interaction of a finite-dimensional Lagrangian system (an oscillator) with a linear infinite-dimensional one (a thermostat). In spite of the energy preservation and the Lagrangian (Hamiltonian) nature of…

Dynamical Systems · Mathematics 2009-12-08 Dmitry Treschev

Molecular dynamics with the stochastic process provides a convenient way to compute structural and thermodynamic properties of chemical, biological, and materials systems. It is demonstrated that the virtual dynamics case that we proposed…

Statistical Mechanics · Physics 2018-03-20 Dezhang Li , Zifei Chen , Zhijun Zhang , Jian Liu

A dynamical formulation of the dimer method for the determination of transition states is presented. The method is suited for ab-initio molecular dynamics using the fictitious Lagrangian formulation. The method has been applied to the…

Computational Physics · Physics 2009-11-13 Alexander Poddey , Peter E. Blöchl

Nonequilibrium molecular dynamics simulations often use mechanisms called thermostats to regulate the temperature. A Hamiltonian is presented for the case of the isoenergetic (constant internal energy) thermostat corresponding to a tunable…

chao-dyn · Physics 2009-10-31 C. P. Dettmann

Molecular dynamics simulations of a three dimensional relativistic gas with a soft potential are conducted with different interactions and particle masses. For all cases the velocity distribution agrees numerically with the J\"uttner…

Statistical Mechanics · Physics 2020-10-07 Noah Kubli , Hans J. Herrmann

With this work we present two new methods for the generation of thermostated, manifestly Hamiltonian dynamics and provide corresponding illustrations. The basis for this new class of thermostats are the peculiar thermodynamics as exhibited…

Statistical Mechanics · Physics 2014-01-13 Michele Campisi , Peter Hanggi

We develop a thermodynamic framework for modeling innovation adoption and abandonment dynamics using statistical mechanics. Starting from a mathematical model for an adoption distribution that fits empirically obtained date, we construct a…

Physics and Society · Physics 2026-04-21 Guilherme S. Y. Giardini , Carlo R. daCunha

We present a new formulation of ab initio molecular dynamics which exploits the efficiency of plane waves in adaptive curvilinear coordinates, and thus provides an accurate treatment of first-row elements. The method is used to perform a…

mtrl-th · Physics 2009-10-28 Francois Gygi

A simple deterministic and time reversal invariant type of thermostat is proposed to be used for computer simulations of classical systems. It acts on collisions with the walls of the container exclusively. It maps the incoming and outgoing…

Statistical Mechanics · Physics 2014-11-13 Henk van Beijeren
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