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We consider the simplest one-constant model, put forward by J. Ericksen, for nematic liquid crystals with variable degree of orientation. The equilibrium state is described by a director field $\mathbf{n}$ and its degree of orientation $s$,…

数值分析 · 数学 2017-08-03 Ricardo H. Nochetto , Shawn W. Walker , Wujun Zhang

We investigate the phase structure and the equation of state (EoS) for dense two-color QCD (QC$_2$D) at low temperature ($T = 40$ MeV, $32^4$ lattice) for the purpose of extending our previous works~\cite{Iida:2019rah, Iida:2022hyy} at…

高能物理 - 格点 · 物理学 2024-07-25 Kei Iida , Etsuko Itou , Kotaro Murakami , Daiki Suenaga

In the present chapter, we discuss an approach for transition from discrete to continuum description of thermomechanical behavior of solids. The transition is carried out for several anharmonic systems: one-dimensional crystal,…

统计力学 · 物理学 2017-08-01 Anton M. Krivtsov , Vitaly A. Kuzkin

In the present communication we consider the one-dimensional (1D) isotopically disordered lattice with the harmonic potential. Our analytical method is adequate for any 1D lattice where potential energy can be presented as the quadratic…

无序系统与神经网络 · 物理学 2007-05-23 Vladimir N. Likhachev , Juraj Szavits-Nossan , George A. Vinogradov

QCD at finite temperature and density is becoming increasingly important for various experimental programmes, ranging from heavy ion physics to astro-particle physics. The non-perturbative nature of non-abelian quantum field theories at…

高能物理 - 格点 · 物理学 2009-11-02 Owe Philipsen

A certain class of one-dimensional classical lattice models is considered. Using the method of abstract harmonic analysis explicit thermostatic properties of such models are derived. In particular, we discuss the low-temperature behavior of…

高能物理 - 理论 · 物理学 2007-05-23 Georg Junker

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…

材料科学 · 物理学 2018-01-29 Terumasa Tadano , Shinji Tsuneyuki

We study the non-equilibrium dynamics of an impurity in an harmonic trap that is kicked with a well-defined quasi-momentum, and interacts with a bath of free fermions or interacting bosons in a 1D lattice configuration. Using numerical and…

量子气体 · 物理学 2013-05-15 Francesco Massel , Adrian Kantian , Andrew J. Daley , Thierry Giamarchi , Päivi Törmä

I review recent developments in the studies of the phase structure and equation of state in finite temperature QCD on the lattice.

高能物理 - 唯象学 · 物理学 2015-05-20 Kazuyuki Kanaya

We study charmonium correlators at finite temperature using quenched lattice QCD simulations. Two analysis procedures are applied to extract information on the spectral function: the maximum entropy method, and the $\chi^2$ fit analyses…

高能物理 - 格点 · 物理学 2017-08-23 Hideo Matsufuru , Takashi Umeda , Kouji Nomura

In quantum materials, degeneracies and frustrated interactions can have a profound impact on the emergence of long-range order, often driving strong fluctuations that suppress functionally relevant electronic or magnetic phases. Engineering…

Understanding thermal fluctuations yields insights into a wide range of behaviors in many-body systems. In this work, we analyze the dynamical adaptation of two-dimensional crystalline lattice system under harmonic interaction in response…

软凝聚态物质 · 物理学 2026-04-07 Zhenwei Yao

After a brief introduction into basic aspects of the formulation of lattice regularized QCD at finite temperature and density we discuss our current understanding of the QCD phase diagram at finite temperature. We present results from…

高能物理 - 格点 · 物理学 2007-05-23 Frithjof Karsch

We investigate the entanglement properties of thermal states of the harmonic lattice in one, two and three dimensions. We establish the value of the critical temperature for entanglement between neighbouring sites and give physical reasons.…

量子物理 · 物理学 2009-11-13 Janet Anders

We study thermal processes in infinite harmonic crystals having a unit cell with arbitrary number of particles. Initially particles have zero displacements and random velocities, corresponding to some initial temperature profile. Our main…

统计力学 · 物理学 2019-06-24 Vitaly A. Kuzkin

Additive manufacturing of a single crystalline metallic column is studied using molecular dynamics simulations. In the model, a melt pool is incrementally added and cooled to a target temperature under isobaric conditions to build a…

材料科学 · 物理学 2021-01-18 Gurmeet Singh , Anthony M. Waas , Veera Sundararaghavan

Temperature dependent crystal structures of the quasi-one-dimensional ladder material BaFe2Se3 are examined. Combining the optical second harmonic generation (SHG) experiments and neutron diffraction measurements, we elucidate the crystal…

The dynamics of instantons and anti-instantons in lattice QCD can be studied by analysing the action and topological charge of configurations as they approach a self-dual or anti-self-dual state, i.e. a state in which S/S_0=|Q|. We use…

高能物理 - 格点 · 物理学 2010-03-04 S. Bilson-Thompson , F. D. R. Bonnet , D. B. Leinweber , A. G. Williams

The formation and motion of lattice defects such as cracks, dislocations, or grain boundaries, occurs when the lattice configuration loses stability, that is, when an eigenvalue of the Hessian of the lattice energy functional becomes…

数值分析 · 数学 2015-05-13 Matthew Dobson , Mitchell Luskin , Christoph Ortner

We introduce a lattice spin model that mimics a system of interacting particle through a short range repulsive potential and a long range attractive power law decaying potential. We performed a detailed analysis of the general equilibrium…

无序系统与神经网络 · 物理学 2009-08-31 Omar Osenda , Francisco A. Tamarit , Sergio A. Cannas