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We investigate the dynamical superlattice correlation in the two-dimensional three-band Hubbard model on the basis of the unrestricted fluctuation exchange approximation. We calculate the one-particle spectral function, the spin correlation…

Strongly Correlated Electrons · Physics 2009-11-13 Shigeru Koikegami , Takashi Yanagisawa , Masaru Kato

A real-space formalism for density-functional perturbation theory (DFPT) is derived and applied for the computation of harmonic vibrational properties in molecules and solids. The practical implementation using numeric atom-centered…

Materials Science · Physics 2017-03-08 Honghui Shang , Christian Carbogno , Patrick Rinke , Matthias Scheffler

A high-frequency asymptotic scheme is generated that captures the motion of waves within discrete hexagonal and honeycomb lattices by creating continuum homogenised equations. The accuracy of these effective medium equations in describing…

Materials Science · Physics 2013-11-01 Mehul Makwana , Richard Craster

We review our recent development of a first-principles lattice dynamics method that can treat anharmonic effects nonperturbatively. The method is based on the self-consistent phonon theory and temperature-dependent phonon frequencies can be…

Materials Science · Physics 2018-01-29 Terumasa Tadano , Shinji Tsuneyuki

Current multi-component, multiphase pseudo-potential lattice Boltzmann models have thermodynamic inconsistencies that prevent them to correctly predict the thermodynamic phase behavior of partially miscible multi-component mixtures, such as…

Computational Physics · Physics 2020-11-25 Cheng Peng , Luis F. Ayala , Orlando M. Ayala

This work explores a novel approach to mitigating turbulence in fusion plasmas through spatially modulated plasma profiles. By imposing a harmonic modulation on plasma parameters, we introduce conditions that alter the propagation…

Plasma Physics · Physics 2024-12-10 Ilya Shesterikov

We report on a Digital Image Correlation-based technique for the detection of in-plane elastic waves propagating in structural lattices. The experimental characterization of wave motion in lattice structures is currently of great interest…

Classical Physics · Physics 2016-09-29 Marshall Schaeffer , Giuseppe Trainiti , Massimo Ruzzene

We propose a high-order hybridizable discontinuous Galerkin (HDG) formulation for the fully dynamic, linear thermo-poroelasticity problem. The governing equations are formulated as a first-order hyperbolic system incorporating solid and…

Numerical Analysis · Mathematics 2025-06-24 Salim Meddahi

In this paper, a unified nonlocal rational continuum enrichment technique is presented for improving the dispersive characteristics of some well known classical continuum equations on the basis of atomistic dispersion relations. This type…

Materials Science · Physics 2017-01-09 Amit K. Patra , S. Gopalakrishnan , Ranjan Ganguli

Incremental stiffness characterizes the variation of a material's force response to a small deformation change. Typically materials have an incremental stiffness that is fixed and positive, but recent technologies, such as super-lenses, low…

Materials Science · Physics 2016-01-20 Marc Serra-Garcia , Joseph Lydon , Chiara Daraio

A recent Faraday wave experiment with two-frequency forcing reports two types of `superlattice' patterns that display periodic spatial structures having two separate scales [1]. These patterns both arise as secondary states once the primary…

Pattern Formation and Solitons · Physics 2019-10-03 D. P. Tse , A. M. Rucklidge , R. B. Hoyle , M. Silber

A lattice model with a spatial dispersion corresponding to a power-law type is suggested. This model serves as a microscopic model for elastic continuum with power-law non-locality. We prove that the continuous limit maps of the equations…

Mathematical Physics · Physics 2015-01-07 Vasily E. Tarasov

The present work is dedicated to a better understanding of the stability properties of regularized lattice Boltzmann (LB) schemes. To this extent, linear stability analyses of two-dimensional models are proposed: the standard…

Computational Physics · Physics 2020-11-18 Gauthier Wissocq , Christophe Coreixas , Jean-François Boussuge

The aim of this work is to study fiber derivatives associated to Lagrangian and Hamiltonian functions describing the dynamics of a higher-order autonomous dynamical system. More precisely, given a function in $T^*T^{(k-1)}Q$, we find…

Mathematical Physics · Physics 2021-01-29 Leonardo Colombo , Pedro D. Prieto-Martínez

We propose an optical method of shining circularly polarized and spatially periodic laser fields to imprint superlattice structures in two-dimensional electronic systems. By changing the configuration of the optical field, we synthesize…

Mesoscale and Nanoscale Physics · Physics 2020-10-07 Hwanmun Kim , Hossein Dehghani , Hideo Aoki , Ivar Martin , Mohammad Hafezi

Symmetry-preserving (mimetic) discretization aims to preserve certain properties of a continuous differential operator in its discrete counterpart. For these discretizations, stability and (discrete) conservation of mass, momentum and…

Numerical Analysis · Mathematics 2019-09-25 B. van 't Hof , M. J. Vuik

In this research work, let us focus on the construction of numerical scheme based on radial basis functions finite difference (RBF-FD) method combined with the Laplace transform for the solution of fractional order dispersive wave…

Numerical Analysis · Mathematics 2025-08-15 Hameed Ullah Jan , Marjan Uddin , Irshad Ali Shah , Salam Ullah Khan

Probing dynamic and static correlation in glass-forming supercooled liquids has been a challenge for decades in spite of extensive research. Dynamic correlation which manifests itself as Dynamic Heterogeneity is ubiquitous in a vast variety…

Statistical Mechanics · Physics 2021-09-22 Anoop Mutneja , Smarajit Karmakar

In this paper, we consider the development and analysis of a new explicit compact high-order finite difference scheme for acoustic wave equation formulated in divergence form, which is widely used to describe seismic wave propagation…

Numerical Analysis · Mathematics 2020-03-24 Da Li , Keran Li , Wenyuan Liao

A upscaled lattice Boltzmann method (LBM) for flow simulations in heterogeneous porous media, at both pore and Darcy scales, is proposed in this paper. In the micro-scale simulations, we model flows using LBM with the modified Guo et al.…

Computational Physics · Physics 2013-12-03 Jun Li , Donald Brown
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