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These lectures provide an introduction to lattice methods for nonperturbative studies of Quantum Chromodynamics. Lecture 1 (Ch. 2): Basic techniques for QCD and results for hadron spectroscopy using the simplest discretizations; lecture 2…

高能物理 - 唯象学 · 物理学 2016-09-06 T. DeGrand

We use ultrafast x-ray pulses to characterize the lattice response of SrTiO3 when driven by strong terahertz (THz) fields. We observe transient changes in the diffraction intensity with a delayed onset with respect to the driving field.…

材料科学 · 物理学 2017-03-30 M. Kozina , T. van Driel , M. Chollet , T. Sato , J. M. Glownia , S. Wandel , M. Radovic , U. Staub , M. C. Hoffmann

We examine the applicability of diffusive lattice Boltzmann methods to simulate the fluid transport through barrier coatings, finding excellent agreement between simulations and analytical predictions for standard parameter choices. To…

计算物理 · 物理学 2017-06-28 Kyle T. Strand , Aaron J. Feickert , Alexander J. Wagner

The result of 2-dimensional Gaussian lattice fit to a speckle intensity pattern based on a linear model that includes nearest-neighbor interactions is presented. We also include a Monte Carlo simulation of the same spatial speckle pattern…

光学 · 物理学 2012-11-13 John R. Smith , J. J. Llovera-Gonzalez , Stephen P. Smith

We study the dispersive properties of a linear equation in one spatial dimension which is inspired by models in peridynamics. The interplay between nonlocality and dispersion is analyzed in detail through the study of the asymptotics at low…

We discuss how methods developed in the context of perturbation theory can be applied to the computation of lattice correlation functions, in particular in the non perturbative regime. The techniques we consider are integration-by-parts…

高能物理 - 理论 · 物理学 2023-09-19 Federico Gasparotto , Andreas Rapakoulias , Stefan Weinzierl , Xiaofeng Xu

I use the method of classical density-functional theory in the weighted-density approximation of Tarazona to investigate the phase diagram and the interface structure of a two-dimensional lattice-gas model with three phases -- vapour,…

统计力学 · 物理学 2009-11-10 S. Prestipino

We consider diffusion of particles on a lattice in the so-called dynamical mean-field regime (memory effects are neglected). Interactions are local, that is, only among particles at the same lattice site. It is shown that a statistical…

统计力学 · 物理学 2021-12-03 Matías A. Di Muro , Miguel Hoyuelos

We compute the one-loop dispersion relations at finite temperature for quarks, charged leptons and neutrinos in the Minimal Standard Model. The dispersion relations are calculated in two different plasma situations: for a vacuum expectation…

高能物理 - 唯象学 · 物理学 2010-11-01 C. Quimbay , S. Vargas-Castrillon

We simulate a one dimensional fermionic optical lattice to analyse heating due to non-adiabatic lattice loading. Our simulations reveal that, similar to the bosonic case, density redistribution effects are the major cause of heating in…

量子气体 · 物理学 2016-12-14 Medha Soni , Michele Dolfi , Matthias Troyer

This dissertation is concerned with understanding and analyzing some of the effects of diffraction in the near field. The contributions of homogeneous and of evanescent waves to two-dimensional near-field diffraction patterns of scalar…

光学 · 物理学 2007-05-23 Marek W. Kowarz

We report progress towards computing the heavy quark momentum diffusion coefficient from the lattice correlator of two chromoelectric fields attached to a Polyakov loop in pure SU(3) gauge theory. Using a multilevel algorithm and tree-level…

高能物理 - 格点 · 物理学 2019-12-06 Nora Brambilla , Viljami Leino , Peter Petreczky , Antonio vairo

Layer formation in a thermally destabilized fluid with stable density gradient has been observed in laboratory experiments and has been proposed as a mechanism for mixing molecular weight in late stages of stellar evolution in regions which…

天体物理学 · 物理学 2007-05-23 Joseph A. Biello

Collective diffusion coefficient in a one dimensional lattice gas adsorbate is calculated using variational approach. Particles interact via either a long-range, or a long range electron-gas-mediated (for a metallic substrate), or a…

材料科学 · 物理学 2009-05-26 Filip Krzyżewski , Magdalena A. Załuska-Kotur

Using two pairs of lattice equations deduced from a microscopic dipole lattice model taking into account electronic polarization (EP) of ions and local field effects (LFEs) self-consistently, in-plane and out-of-plane optical vibrations in…

介观与纳米尺度物理 · 物理学 2019-05-31 Jian-zhong Zhang

Stochastic diffusion equations are crucial for modeling a range of physical phenomena influenced by uncertainties. We introduce the generalized finite difference method for solving these equations. Then, we examine its consistency,…

数值分析 · 数学 2024-11-22 Faezeh Nassajian Mojarrad

A dispersion relation for a commonly used hybrid model of plasma physics is developed, which combines fully kinetic ions and a massless-electron fluid description. Although this model and variations of it have been used to describe plasma…

等离子体物理 · 物理学 2022-03-30 Daniel Told , Tessa Cookmeyer , Patrick Astfalk , Frank Jenko

We consider scalar lattice differential equations posed on square lattices in two space dimensions. Under certain natural conditions we show that wave-like solutions exist when obstacles (characterized by "holes") are present in the…

动力系统 · 数学 2013-10-21 A. Hoffman , H. J. Hupkes , E. Van Vleck

We study the localization properties of generalized, two- and three-dimensional Lieb lattices, $\mathcal{L}_2(n)$ and $\mathcal{L}_3(n)$, $n= 1, 2, 3$ and $4$, at energies corresponding to flat and dispersive bands using the transfer matrix…

无序系统与神经网络 · 物理学 2021-08-03 Jie Liu , Xiaoyu Mao , Jianxin Zhong , Rudolf A. Römer

We demonstrate a nonradiative flat band for spoof surface plasmon polaritons bounded on a structured surface with Lieb lattice symmetry in the terahertz regime. First, we theoretically derive the dispersion relation of spoof plasmons in a…