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This paper investigates time-periodic solutions of both the surface quasi-geostrophic (SQG) equation and its generalized form (gSQG) within the more singular regime, focusing on the evolution of patch-type structures. Assuming the…

偏微分方程分析 · 数学 2025-10-28 Edison Cuba , Lucas C. F. Ferreira

In this paper, we construct an example of temperature patch solutions for the two-dimensional, incompressible Boussinesq system with kinematic viscosity such that both the curvature and perimeter grow to infinity over time. The presented…

偏微分方程分析 · 数学 2024-03-12 Jaemin Park

This work studies the heat equation in a two-phase material with spherical inclusions. Under some appropriate scaling on the size, volume fraction and heat capacity of the inclusions, we derive a coupled system of partial differential…

偏微分方程分析 · 数学 2019-02-20 Laurent Desvillettes , François Golse , Valeria Ricci

We report on a computer simulation and integral equation study of a simple model of patchy spheres, each of whose surfaces is decorated with two opposite attractive caps, as a function of the fraction $\chi$ of covered attractive surface.…

软凝聚态物质 · 物理学 2015-05-18 Achille Giacometti , Fred Lado , Julio Largo , Giorgio Pastore , Francesco Sciortino

Here we investigate the so-called temperature patch problem for the incompressible Boussinesq system with partial viscosity, in the whole space $\mathbb{R}^N$ $(N \geq 2)$, where the initial temperature is the characteristic function of…

偏微分方程分析 · 数学 2016-03-25 Raphaël Danchin , Xin Zhang

In this thesis the finite temperature transition between confined and deconfined matter is studied at zero and nonzero quark densities. The findings are relevant for the understanding of the evolution of the early Universe and contemporary…

高能物理 - 格点 · 物理学 2011-04-20 Gergely Endrodi

We develop a temperature dependent empirical pseudopotential theory to study the electronic and optical properties of self-assembled quantum dots (QDs) at finite temperature. The theory takes the effects of both lattice expansion and…

材料科学 · 物理学 2015-06-04 Jianping Wang , Ming Gong , Guang-Can Guo , Lixin He

We perform SU(3) Lattice Gauge Theory simulations of the deconfinement transition attempting to mimic conditions encountered in heavy ion collisions. Specifically, we perform a sudden temperature quench across the deconfinement temperature,…

高能物理 - 唯象学 · 物理学 2009-11-11 E. T. Tomboulis , A. Velytsky

The cosmological QCD phase transition is studied in terms of the color confinement at finite temperature using the dual Higgs theory of QCD. The confinement force is largely reduced at high temperature, which leads to the swelling of…

高能物理 - 唯象学 · 物理学 2007-05-23 Hideo Suganuma , Hiroko Ichie , Hideko Monden , Shoichi Sasaki , Manabu Orito , Tadahiro Yamamoto , Toshitaka Kajino

By using the finite temperature quantum field theory, we calculate the finite temperature effective potential and extend the improved quark mass density-dependent model to finite temperature. It is shown that this model can not only…

核理论 · 物理学 2008-11-26 Chen Wu , Ru-Keng Su

We propose a novel quasiparticle interpretation of the equation of state of deconfined QCD at finite temperature. Using appropriate thermal masses, we introduce a phenomenological parametrisation of the onset of confinement in the vicinity…

高能物理 - 唯象学 · 物理学 2009-11-07 R. A. Schneider , T. Renk , M. Thaler , A. Polleri , W. Weise

This paper explores the concept of near-cloaking in the context of time-dependent heat propagation. We show that after the lapse of a certain threshold time instance, the boundary measurements for the homogeneous heat equation are close to…

偏微分方程分析 · 数学 2017-12-18 Richard Craster , Sebastien Guenneau , Harsha Hutridurga , Grigorios Pavliotis

We present a simple and intuitive picture for the deconfinement of quarks and gluons at finite temperature: as the temperature increases, QCD behaves like QED at T=0. We show this by calculating the QCD coupling constant as a function of…

高能物理 - 唯象学 · 物理学 2007-05-23 F. M. Steffens

For InAs/GaAs(001) quantum dot (QD) system, the wetting layer (WL) evolution and its temperature dependence were studied using reflectance difference spectroscopy (RDS) and analyzed with a rate equation model. The WL thicknesses showed a…

介观与纳米尺度物理 · 物理学 2012-11-14 Hongyi Zhang , Yonghai Chen , Guanyu Zhou , Chenguang Tang , Zhanguo Wang

The mechanism underlying charge transport in strongly correlated quantum systems, such as doped antiferromagnetic Mott insulators, remains poorly understood. Here we study the expansion dynamics of an initially localized hole inside a…

量子气体 · 物理学 2022-07-13 Lauritz Hahn , Annabelle Bohrdt , Fabian Grusdt

The $\mathbb{Z}_2 \times \mathbb{Z}_2$ symmetry protected topological (SPT) phase hosts a robust boundary qubit at zero temperature. At finite energy density, the SPT phase is destroyed and bulk observables equilibrate in finite time.…

量子物理 · 物理学 2020-11-18 Jack Kemp , Norman Y. Yao , Chris R. Laumann

The Gibbs-Thomson (GT) equation describes the shift of the crystallization temperature for a confined fluid with respect to the bulk as a function of pore size. While this century old relation is successfully used to analyze experiments,…

化学物理 · 物理学 2021-04-08 Laura Scalfi , Benoît Coasne , Benjamin Rotenberg

We study the temporal fluctuations of the flux of surface potential energy in Surface Quasi-Geostrophic (SQG) turbulence. By means of high-resolution, direct numerical simulations of the SQG model in the regime of forced and dissipated…

流体动力学 · 物理学 2024-06-12 V. J. Valadão , T. Ceccotti , G. Boffetta , S. Musacchio

We consider the asymptotic behavior of the surface quasi-geostrophic equation, subject to a small external force. Under suitable assumptions on the forcing, we first construct the steady states and we provide a number of useful a posteriori…

偏微分方程分析 · 数学 2021-02-24 Fazel Hadadifard , Atanas G. Stefanov

We propose a non-steady state model of the global temperature change. The model describes Earth's surface temperature dynamics under main climate forcing. The equations were derived from basic physical relationships and detailed assessment…

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