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Related papers: Force and heat current formulas for many-body pote…

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In this study we have derived an exact framework for the calculation of the heat flux and its spectral decomposition in Molecular Dynamics (MD) for arbitrary many-body potentials. This work addresses several lacks and limitations of…

Materials Science · Physics 2025-12-10 Markos Poulos , Donatas Surblys , Konstantinos Termentzidis

The definition of heat current operator for systems for non-pairwise additive interactions and its impact on related lattice thermal conductivity ($\kappa_{L}$) via molecular dynamics simulation (MD) are ambiguous and controversial when…

Materials Science · Physics 2025-05-27 Siu Ting Tai , Chen Wang , Ruihuan Cheng , Yue Chen

We re-derive the expression for the heat current for a classical system subject to periodic boundary conditions and show that it can be written as a sum of two terms. The first term is a time derivative of the first moment of the system…

Statistical Mechanics · Physics 2025-05-16 Andrey Pereverzev

A two-step unified framework for the evaluation of continuum field expressions from molecular simulations for arbitrary interatomic potentials is presented. First, pointwise continuum fields are obtained using a generalization of the…

Chemical Physics · Physics 2015-08-11 Nikhil Chandra Admal , E. B. Tadmor

In this work, we investigated tensile and compression forces effect on the thermal conductivity of silicon. We used equilibrium molecular dynamics approach for the evaluation of thermal conductivity considering different interatomic…

Materials Science · Physics 2019-08-05 Vasyl Kuryliuk , Oleksii Nepochatyi , Patrice Chantrenne , David Lacroix , Mykola Isaiev

The calculation of caloric properties such as heat capacity, Joule-Thomson coefficients and the speed of sound by classical force-field-based molecular simulation methodology has received scant attention in the literature, particularly for…

Chemical Physics · Physics 2019-03-15 William R. Smith , Jan Jirsák , Ivo Nezbeda , Weikai Qi

Energy density and energy flux was introduced along Takesue's method. Particle energies were localized at particle positions using Dirac delta function. The energy density was connected with the energy flux by continuity equation. New…

Statistical Mechanics · Physics 2008-03-06 Atsushi Ito , Hiroaki Nakamura

Future developments of lighter, more compact and powerful motors-driven by environmental and sustainability considerations in the transportation industry-involve higher stresses, currents and electromagnetic fields. Strong couplings between…

Classical Physics · Physics 2021-02-24 N Hanappier , E Charkaluk , N Triantafyllidis

The process of deriving an interatomic potentials represents an attempt to integrate out the electronic degrees of freedom from the full quantum description of a condensed matter system. In practice it is the derivatives of the interatomic…

Materials Science · Physics 2016-06-23 G. J. Ackland

Molecular dynamics simulations provide a versatile framework to study interfacial heat transport, but their accuracy remains limited by the accuracy of available interatomic potentials. In the past, researchers have adopted the use of…

Materials Science · Physics 2021-05-11 Spencer Wyant , Andrew Rohskopf , Asegun Henry

Microscopic stress fields are widely used in molecular simulations to understand mechanical behavior. Recently, decomposition methods of multibody forces to central force pairs between the interacting particles have been proposed. Here, we…

Soft Condensed Matter · Physics 2016-11-23 Koh M. Nakagawa , Hiroshi Noguchi

Microscopic energy current can be derived from microscopic energy field localized only in particle positions. If the energy current is applied to classical molecular dynamics, it is expected to become a new information. However, multi-body…

Statistical Mechanics · Physics 2007-05-23 Atsushi Ito , Hiroaki Nakamura

We develop a tractable interaction model for a polyatomic gas, whose kinetic equation combines a Vlasov-type mean field forcing due to an intermolecular potential, and a Boltzmann-type collision integral due to rotational interactions. We…

Fluid Dynamics · Physics 2022-04-15 Rafail V. Abramov

In equilibrium molecular dynamics, Einstein relation can be used to calculate the thermal conductivity. This method is equivalent to Green-Kubo relation and it does not require a derivation of an analytical form for the heat current.…

Chemical Physics · Physics 2016-08-14 Alper Kinaci , Justin B. Haskins , Tahir Çağın

We present general first principles derivation of expression for current-induced forces. The expression is applicable in non-equilibrium molecular systems with arbitrary intra-molecular interactions and for any electron-nuclei coupling. It…

Mesoscale and Nanoscale Physics · Physics 2019-02-05 Feng Chen , Kuniyuki Miwa , Michael Galperin

Mesoscopic thermoelectric heat engine is much anticipated as a device that allows us to utilize with high efficiency wasted heat inaccessible by conventional heat engines. However, the derivation of the heat current in this engine seems to…

Statistical Mechanics · Physics 2015-11-24 Kaoru Yamamoto , Naomichi Hatano

An analog of the Meir-Wingreen formula for the steady-state heat current through a model molecular junction is derived. The expression relates the heat current to correlation functions that involve operators only acting on the degrees of…

Mesoscale and Nanoscale Physics · Physics 2010-08-26 Kirill A. Velizhanin , Michael Thoss , Haobin Wang

Past molecular dynamics studies of thermal transport have predominantly used Stillinger-Weber potentials. As materials continuously shrink, their properties increasingly depend on defect and surface effects. Unfortunately, Stillinger-Weber…

Materials Science · Physics 2012-06-26 X. W. Zhou , R. E. Jones

The Two-Body Dirac equations of constraint theory are of special interest not only in view of applications for phenomenological calculations of mesonic spectra but also because they avoid no-go theorems about relativistic interactions.…

Quantum Physics · Physics 2015-07-29 Matthias Lienert

A theory of temperature dynamics in many-body systems driven by time-dependent external sources is introduced. The formalism based on the combination of the perturbation theory and the fluctuational-electrodynamics approach in many-body…

Mesoscale and Nanoscale Physics · Physics 2021-07-14 Alireza Naeimi , Moladad Nikbakht
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