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Renormalization-group theory predicts that the XXZ antiferromagnet in a magnetic field along the easy Z-axis has asymptotically either a tetracritical phase-diagram or a triple point in the field-temperature plane. Neither experiments nor…

Statistical Mechanics · Physics 2022-09-30 A. Aharony , O. Entin-Wohlman

Multiple equilibrium states arise in many physical systems, including various types of liquid crystal structures. Having the ability to reliably compute such states enables more accurate physical analysis and understanding of experimental…

Numerical Analysis · Mathematics 2016-01-28 J. H. Adler , D. B. Emerson , P. E. Farrell , S. P. MacLachlan

We present in this paper an approach for computing the homogenized behavior of a medium that is a small random perturbation of a periodic reference material. The random perturbation we consider is, in a sense made precise in our work, a…

Analysis of PDEs · Mathematics 2010-05-24 Arnaud Anantharaman , Claude Le Bris

Thermographic photothermal super resolution reconstruction enables the resolution of internal defects/inhomogeneities below the classical limit which is governed by the diffusion properties of thermal wave propagation. Based on a…

Image and Video Processing · Electrical Eng. & Systems 2022-05-11 Julien Lecompagnon , Samim Ahmadi , Philipp Hirsch , Christian Rupprecht , Mathias Ziegler

We consider the phase stability of a local oscillator (or laser) locked to a cavity QED system comprised of atoms with an ultra-narrow optical transition. The atoms are cooled to millikelvin temperatures and then released into the optical…

Quantum Physics · Physics 2015-06-30 D. A. Tieri , J. Cooper , Bjarke T. R. Christensen , J. W. Thomsen , M. J. Holland

Within the framework of the covariant formulation of light-front dynamics, we develop a general non-perturbative renormalization scheme based on the Fock decomposition of the state vector and its truncation. The counterterms and bare…

High Energy Physics - Theory · Physics 2008-11-26 V. A. Karmanov , J. -F. Mathiot , A. V. Smirnov

The real-space renormalization group technique is introduced to evaluate the effective diffusion constant for diffusion in inhomogeneous media, which has been obtained by singular perturbation methods. Our method is formulated on a…

Disordered Systems and Neural Networks · Physics 2007-05-23 Mitsuhiro Kawasaki

In many models in condensed matter physics and high-energy physics, one finds inhomogeneous phases at high density and low temperature. These phases are characterized by a spatially dependent condensate or order parameter. A proper…

High Energy Physics - Phenomenology · Physics 2017-08-03 Prabal Adhikari , Jens O. Andersen

The invariance of several structural and dynamical properties of the Lennard-Jones (LJ) system along the freezing and melting lines is interpreted in terms of the isomorph theory. First the freezing/melting lines for LJ system are shown to…

Soft Condensed Matter · Physics 2017-01-04 Lorenzo Costigliola , Thomas B. Schrøder , Jeppe C. Dyre

We derive two-loop renormalization-group equations for the half-filled one-dimensional Hubbard chains coupled by the interchain hopping. Our renormalization-group scheme for the quasi-one-dimensional electron system is a natural extension…

Strongly Correlated Electrons · Physics 2007-05-23 M. Tsuchiizu

We present a computer simulation study of a (6,12)-Lennard-Jones fluid confined to a slit pore, formed by two uniform planes. These interact via (3,9)-Lennard-Jones potential with the fluid particles. When the fluid approaches the…

Soft Condensed Matter · Physics 2009-02-20 N. Gribova , H. Maleki , A. Arnold , C. Holm , T. Schilling

In principle, the answer to the posed titular question is undoubtedly 'yes.' But in practice, requisite reference data for homogeneous systems have been obtained with a treatment of intermolecular interactions that is different from that…

Statistical Mechanics · Physics 2022-05-02 Dominic Atherton , Angelos Michaelides , Stephen J. Cox

Current quantum cascade lasers based upon conduction band electron transitions are predominantly TM (electrical field normal to the epitaxial direction) polarized. Here we present a study of localized defect modes, with the requisite TM…

Optics · Physics 2007-05-23 Kartik Srinivasan , Oskar Painter

While model order reduction is a promising approach in dealing with multi-scale time-dependent systems that are too large or too expensive to simulate for long times, the resulting reduced order models can suffer from instabilities. We have…

Fluid Dynamics · Physics 2022-06-08 Jacob Price , Brek Meuris , Madelyn Shapiro , Panos Stinis

The transition of a fluid to a rigid glass upon cooling is a common route of transformation from liquid to solid that embodies the most poorly understood features of both phases1,2,3. From the liquid perspective, the puzzle is to understand…

Soft Condensed Matter · Physics 2009-01-23 Asaph Widmer-Cooper , Heidi Perry , Peter Harrowell , David R. Reichman

We investigate the critical behavior of disordered systems transversely driven at a uniform and steady velocity. An intuitive argument predicts that the long-distance physics of $D$-dimensional driven disordered systems at zero temperature…

Statistical Mechanics · Physics 2019-12-30 Taiki Haga

Numerous correlated electron systems exhibit a strongly scale-dependent behavior. Upon lowering the energy scale, collective phenomena, bound states, and new effective degrees of freedom emerge. Typical examples include (i) competing…

Strongly Correlated Electrons · Physics 2015-05-28 Walter Metzner , Manfred Salmhofer , Carsten Honerkamp , Volker Meden , Kurt Schoenhammer

In this work we propose, {analyze}, and validate a stabilized finite element method for a flow problem arising from the assessment of {4D Flow Magnetic Resonance Imaging quality}. Starting from the Navier-Stokes equation and splitting its…

Numerical Analysis · Mathematics 2026-01-27 Gabriel Barrenechea , Cristian Cárcamo , Abner Poza

Numerical solutions of stationary diffusion equations on the unit sphere with isotropic lognormal diffusion coefficients are considered. H\"older regularity in $L^p$ sense for isotropic Gaussian random fields is obtained and related to the…

Probability · Mathematics 2023-12-06 Lukas Herrmann , Annika Lang , Christoph Schwab

The tensor renormalization group attracts great attention as a new numerical method that is free of the sign problem. In addition to this striking feature, it also has an attractive aspect as a coarse-graining of space-time; the…

High Energy Physics - Lattice · Physics 2018-12-04 Ryo Sakai , Daisuke Kadoh , Yoshinobu Kuramashi , Yoshifumi Nakamura , Shinji Takeda , Yusuke Yoshimura
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