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Related papers: Explicit minimisers for anisotropic Riesz energies

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For describing the non-negative gravitational energy-momentum in terms of a pure Bel-Robinson type energy-momentum in a quasi-local 2-surface, both the Bel-Robinson tensor $B$ and tensor $V$ are suitable. We have found that this…

General Relativity and Quantum Cosmology · Physics 2014-06-02 Lau Loi So

This paper is concerned with the macroscopic behavior of global energy minimizers in the three-dimensional sharp interface unscreened Ohta-Kawasaki model of diblock copolymer melts. This model is also referred to as the nuclear liquid drop…

Mathematical Physics · Physics 2016-07-19 Hans Knuepfer , Cyrill Muratov , Matteo Novaga

Motivated by the increasing interest in finding physically viable rotating sources, we present a new class of anisotropic rotating solutions. The energy-momentum tensor compatible with the metric is composed of anisotropic matter with a…

General Relativity and Quantum Cosmology · Physics 2023-10-10 Stefano Viaggiu

We study a variational problem modeling the behavior at equilibrium of charged liquid drops under convexity constraint. After proving well-posedness of the model, we show C 1,1-regularity of minimizers for the Coulombic interaction in…

Analysis of PDEs · Mathematics 2018-04-18 Michael Goldman , Matteo Novaga , Berardo Ruffini

The Dirac equation is extended for a relativistic electron in an orthorhombically-anisotropic conduction band. Its covariance is established with general proper and improper Lorentz transformations. In the non-relativistic limit, the…

Strongly Correlated Electrons · Physics 2019-05-09 Aiying Zhao , Jingchuan Zhang , Qiang Gu , Richard A. Klemm

Let $\X = \X[a, b] = \{x: a<|x|<b\}\subset \R^n$ with $0<a<b<\infty$ fixed be an open annulus and consider the energy functional, \begin{equation*} {\mathbb F} [u; \X] = \frac{1}{2} \int_\X \frac{|\nabla u|^2}{|u|^2} \, dx, \end{equation*}…

Analysis of PDEs · Mathematics 2017-01-30 Charles Morris , Ali Taheri

The energy of any $C^1$ representative of a homotopy class of maps from a compact and connected Riemannian manifold with nonnegative Ricci curvature into a complete Riemannian manifold with no conjugate points is bounded below by a constant…

Differential Geometry · Mathematics 2025-04-24 James Dibble

The quantum hydrodynamic model is developed for the axial symmetric anisotropic short-range interaction. The quantum stress tensor presents the interaction. It is derived up to the third order by the interaction radius. The first order by…

Quantum Gases · Physics 2018-09-05 Pavel A. Andreev

We study the radial symmetry of minimizers to the Schroedinger-Poisson-Slater (S-P-S) energy.

Analysis of PDEs · Mathematics 2016-01-20 Vladimir Georgiev , Francesca Prinari , Nicola Visciglia

We study a two-dimensional quaternary inhibitory system. This free energy functional combines an interface energy favoring micro-domain growth with a Coulomb-type long range interaction energy which prevents micro-domains from unlimited…

Analysis of PDEs · Mathematics 2023-07-25 Stanley Alama , Lia Bronsard , Xinyang Lu , Chong Wang

We consider a non-local phase transition equation set in a periodic medium and we construct solutions whose interface stays in a slab of prescribed direction and universal width. The solutions constructed also enjoy a local minimality…

Analysis of PDEs · Mathematics 2018-11-22 Matteo Cozzi , Enrico Valdinoci

We investigate the Casimir-Polder force acting on a polarizable microparticle in the geometry of a straight cosmic string. In order to develop this analysis we evaluate the electromagnetic field Green tensor on the imaginary frequency axis.…

High Energy Physics - Theory · Physics 2011-12-01 A. A. Saharian , A. S. Kotanjyan

We consider anisotropic fluids with directional pressures $p_i = w_i \rho$ ($\rho$ is the density, $w_i = $const, $i = 1,2,3$) as sources of gravity in stationary cylindrically symmetric space-times. We describe a general way of obtaining…

General Relativity and Quantum Cosmology · Physics 2019-06-19 S. V. Bolokhov , K. A. Bronnikov , M. V. Skvortsova

We demonstrate a technique to generate new class of exact solutions to the Einstein-Maxwell system describing a static spherically symmetric relativistic star with anisotropic matter distribution. An interesting feature of the new class of…

General Physics · Physics 2020-11-25 K. Komathiraj , Ranjan Sharma

The magnetic relaxation and hysteresis of a system of single domain particles with dipolar interactions are studied by Monte Carlo simulations. We model the system by a chain of Heisenberg classical spins with randomly oriented easy-axis…

Materials Science · Physics 2007-05-23 Oscar Iglesias , Amilcar Labarta

We investigate, in the framework of linearized quantum gravity, the quantum gravitational interaction between a gravitoelectrically polarizable object and a gravitomagnetically polarizable object. This interaction originates from the…

General Relativity and Quantum Cosmology · Physics 2025-02-18 Di Hao , Jiawei Hu , Hongwei Yu

In this paper, we prove the existence of minimizers of a class of multi-constrained variational problems. We consider systems involving a nonlinearity that does not satisfy compactness, monotonicity, neither symmetry properties. Our…

Analysis of PDEs · Mathematics 2013-10-10 Hichem Hajaiej , Peter A. Markowich , Saber Trabelsi

We present a class of new relativistic solutions with anisotropic fluid for compact stars in hydrostatic equilibrium. The interior space-time geometry considered here for compact objects are described by parameters namely, $\lambda$, $k$,…

General Relativity and Quantum Cosmology · Physics 2016-03-25 Bikash Chandra Paul , Rumi Deb

A well-known result of liquid state theory is that the structure of dense fluids is mainly determined by repulsive forces. The WCA potential, which cuts intermolecular potentials at their minima, is therefore often used as a reference.…

Soft Condensed Matter · Physics 2010-10-12 Ulf R. Pedersen , Thomas B. Schrøder , Jeppe C. Dyre

In this paper we investigate the asymptotic behavior of anisotropic fractional energies as the fractional parameter $s\in (0,1)$ approaches both $s\uparrow 1$ and $s\downarrow 0$ in the spirit of the celebrated papers of…

Analysis of PDEs · Mathematics 2022-04-19 Julian Fernandez Bonder , Ariel Salort
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