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Symplectic numerical methods have become a widely-used choice for the accurate simulation of Hamiltonian systems in various fields, including celestial mechanics, molecular dynamics and robotics. Even though their characteristics are…

Numerical Analysis · Mathematics 2025-06-27 Donát M. Takács , Tamás Fülöp

We introduce a temperature-dependent parameterization in the modified embedded-atom method and combine it with molecular dynamics to simulate the diverse physical properties of the \delta - and \epsilon - phases of elemental plutonium. The…

Strongly Correlated Electrons · Physics 2015-06-15 Z. P. Yin , Xiaoyu Deng , K. Basu , Q. Yin , G. Kotliar

We use molecular dynamics simulations to study the dynamics of an ensemble of interacting self-propelled semi-flexible polymers in contact with a thermal bath. Our intention is to model complex systems of biological interest. We find that…

Soft Condensed Matter · Physics 2011-05-06 Davide Loi , Stefano Mossa , Leticia F. Cugliandolo

The wave property of phonons is employed to explore the thermal transport across a finite periodic array of nano-scatterers such as circular and triangular holes. As thermal phonons are generated in all directions, we study their…

Mesoscale and Nanoscale Physics · Physics 2015-12-23 Thu Trang Nghiem Thi , P. -Olivier Chapuis

This study proposes a high-order multi-scale method tailored for time-dependent nonlinear thermo-electro-mechanical coupling problems of composite structures with highly spatial heterogeneity, which incorporate temperature-dependent…

Numerical Analysis · Mathematics 2026-04-22 Hao Dong

We formulate theoretical modeling approaches and develop practical computational simulation methods for investigating the non-equilibrium statistical mechanics of fluid interfaces with passive and active immersed particles. Our approaches…

Soft Condensed Matter · Physics 2024-10-03 Dev Jasuja , Paul J. Atzberger

A simple model based on atom-atom potential has been used to calculate various bulk, structural and thermodynamic properties of pure C_{60} solid by including implicit anharmonicity. The pressure and temperature dependent properties such as…

Materials Science · Physics 2009-10-31 V. K. Jindal , K. Dharamvir , Sarbpreet Singh

The temperature dependent effective potential (TDEP) method is generalized beyond pair interactions. The second and third order force constants are determined consistently from ab initio molecular dynamics simulations at finite temperature.…

Materials Science · Physics 2013-10-14 Olle Hellman , Igor A. Abrikosov

Solid-state high-harmonic spectroscopy allows the study of strongly driven ultrafast electron dynamics. Microscopically, high harmonics are generated by strong-laser-field acceleration of electron-hole pairs through the lattice. At finite…

We formulate a first-principle scheme for structural optimization at finite temperature ($T$) based on the self-consistent phonon (SCP) theory, which accurately takes into account the effect of strong phonon anharmonicity. The…

Materials Science · Physics 2022-12-20 Ryota Masuki , Takuya Nomoto , Ryotaro Arita , Terumasa Tadano

Through the integration of the power spectral density, we obtain temperature profiles of both multi-segment harmonic and anharmonic systems, showing the presence of an anomalous negative temperature gradient inside the interfacial segment.…

Statistical Mechanics · Physics 2017-12-20 Yue Liu , Dahai He

An effective field theory approach is developed for calculating the thermodynamic properties of a field theory at high temperature $T$ and weak coupling $g$. The effective theory is the 3-dimensional field theory obtained by dimensional…

High Energy Physics - Phenomenology · Physics 2016-09-01 Eric Braaten , Agustin Nieto

Generative models have advanced significantly in sampling material systems with continuous variables, such as atomistic structures. However, their application to discrete variables, like atom types or spin states, remains underexplored. In…

Statistical Mechanics · Physics 2025-11-18 Ping Tuo , Zezhu Zeng , Jiale Chen , Bingqing Cheng

Atomistic simulations of thermodynamic properties of magnetic materials rely on an accurate modelling of magnetic interactions and an efficient sampling of the high-dimensional spin space. Recent years have seen significant progress with a…

Statistical Mechanics · Physics 2019-03-27 Ning Wang , Thomas Hammerschmidt , Jutta Rogal , Ralf Drautz

Finding the consequences of symmetry for open system quantum dynamics is a problem with broad applications, including describing thermal relaxation, deriving quantum limits on the performance of amplifiers, and exploring quantum metrology…

Quantum Physics · Physics 2015-06-18 Iman Marvian , Robert W. Spekkens

Obtaining the free energy of large molecules from quantum mechanical energy functions is a longstanding challenge. We describe a method that allows us to estimate, at the quantum mechanical level, the harmonic contributions to the…

Chemical Physics · Physics 2023-03-07 Alec F. White , Chenghan Li , Xing Zhang , Garnet Kin-Lic Chan

We report the development of a forcefield capable of reproducing accurate lattice dynamics of metal-organic frameworks. Phonon spectra, thermodynamic and mechanical properties, such as free energies, heat capacities and bulk moduli, are…

Materials Science · Physics 2016-10-28 J. K. Bristow , J. M. Skelton , K. L. Svane , A. Walsh , J. D. Gale

We investigate the matching between (1+1)-dimensional nonlinear field theories coupled to an external stochastic environment and their lattice simulations. In particular, we focus on how to obtain numerical results which are lattice-spacing…

High Energy Physics - Lattice · Physics 2009-10-30 Marcelo Gleiser , Hans-Reinhard Müller

We provide a method for calculating anharmonic lattice dynamics, by building a surrogate model based on Gaussian Processes (GPs). Due to the underlying Gaussian form of a GP, the model is infinitely differentiable. This allows us to train…

Materials Science · Physics 2024-06-07 Keerati Keeratikarn , Jarvist Moore Frost

In this thesis we examine methodologies for determining free energy differences (FEDs) of phases via Monte Carlo simulation. We identify and address three generic issues that arise in FED calculations; the choice of representation, the…

Statistical Mechanics · Physics 2009-09-29 Arjun R. Acharya