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We study the two-point correlation function of density perturbations in a spherically symmetric void universe model which does not employ the Copernican principle. First we solve perturbation equations in the inhomogeneous universe model…

Cosmology and Nongalactic Astrophysics · Physics 2013-12-25 Ryusuke Nishikawa , Chul-Moon Yoo , Ken-ichi Nakao

Two-point density-density correlation functions for the diffusive binary reaction system $A+A\to\emptyset$ are obtained in one dimension via Monte Carlo simulation. The long-time behavior of these correlation functions clearly deviates from…

Statistical Mechanics · Physics 2009-11-07 Su-Chan Park , Jeong-Man Park , Doochul Kim

The relaxation time approximation (RTA) of the kinetic Boltzmann equation is likely the simplest window into the microscopic properties of collective real-time transport. Within this framework, we analytically compute all retarded two-point…

High Energy Physics - Theory · Physics 2024-07-23 Matej Bajec , Sašo Grozdanov , Alexander Soloviev

By interchanging the roles of the space and time coordinates, we describe a dual construction of the isotropic Landau-Lifshitz model, providing equal-space Poisson brackets and dual Hamiltonians conserved with respect to space-evolution.…

Mathematical Physics · Physics 2019-07-05 Iain Findlay

We study the stochastic dynamics of a two-dimensional magnetic moment embedded in a three-dimensional environment, described by means of the stochastic Landau-Lifshitz-Gilbert (sLLG) equation. We define a covariant generalization of this…

Statistical Mechanics · Physics 2018-08-29 Zochil González Arenas , Daniel G. Barci , Miguel Vera Moreno

We investigate six types of two-point boundary correlation functions in the dense loop model. These are defined as ratios $Z/Z^0$ of partition functions on the $m\times n$ square lattice, with the boundary condition for $Z$ depending on two…

Statistical Mechanics · Physics 2018-12-27 Alexi Morin-Duchesne , Jesper Lykke Jacobsen

The coupled Maxwell-Lorentz system describes feed-back action of electromagnetic fields in classical electrodynamics. When applied to point-charge sources (viewed as limiting cases of charged fluids) the resulting nonlinear weakly…

Analysis of PDEs · Mathematics 2007-05-23 Guenther Hoermann , Michael Kunzinger

The two-point correlation function for the zeros of Dirichlet L-functions at a height E on the critical line is calculated heuristically using a generalization of the Hardy-Littlewood conjecture for pairs of primes in arithmetic…

Mathematical Physics · Physics 2015-06-16 E. Bogomolny , J. P. Keating

We study analytical properties of the five-loop anomalous dimension of twist-2 operators at negative even values of Lorentz spin. Following L. N. Lipatov and A. I. Onishchenko, we have found two possible generalizations of…

High Energy Physics - Theory · Physics 2015-05-27 V. N. Velizhanin

Twist fields were introduced a few decades ago as a quantum counterpart to classical kink configurations and disorder variables in low dimensional field theories. In recent years they received a new incarnation within the framework of…

High Energy Physics - Theory · Physics 2018-04-25 A. V. Belitsky

We comment on a recent letter by L. C. de Albuquerque and M. M. Leite (J. Phys. A: Math. Gen. 34 (2001) L327-L332), in which results to second order in $\epsilon=4-d+\frac{m}{2}$ were presented for the critical exponents…

Statistical Mechanics · Physics 2009-11-07 H. W. Diehl , M. Shpot

We explore the phenomenon of emergent Lorentz invariance in strongly coupled theories. The strong dynamics is handled using the gauge/gravity correspondence. We analyze how the renormalization group flow towards Lorentz invariance is…

High Energy Physics - Theory · Physics 2015-06-15 Grigory Bednik , Oriol Pujolas , Sergey Sibiryakov

An Ornstein-Zernike approximation for the two-body correlation function embodying thermodynamic consistency is applied to a system of classical Heisenberg spins on a three-dimensional lattice. The consistency condition determined in a…

Statistical Mechanics · Physics 2009-11-07 D. Pini , J. S. Hoye , G. Stell

The modulational instability in the class of NLS equations is discussed using a statistical approach. A kinetic equation for the two-point correlation function is studied in a linear approximation, and an integral stability equation is…

Exactly Solvable and Integrable Systems · Physics 2009-11-11 A. T. Grecu , D. Grecu , Anca Visinescu

Multiplicative logarithmic corrections frequently characterize critical behaviour in statistical physics. Here, a recently proposed theory relating the exponents of such terms is extended to account for circumstances which often occur when…

Statistical Mechanics · Physics 2009-11-11 R. Kenna , D. A. Johnston , W. Janke

This note is aimed at presenting a new algebraic approach to momentum-space correlators in conformal field theory. As an illustration we present a new Lie-algebraic method to compute frequency-space two-point functions for charged scalar…

High Energy Physics - Theory · Physics 2013-12-13 Satoshi Ohya

The long-time behavior of transport coefficients in a model for spatially heterogeneous media in two and three dimensions is investigated by Molecular Dynamics simulations. The behavior of the velocity auto-correlation function is…

Soft Condensed Matter · Physics 2007-05-23 Felix Höfling , Thomas Franosch

We present type IIB supergravity solutions which are expected to be dual to certain Lifshitz-like fixed points with anisotropic scale invariance. They are expected to describe a class of D3-D7 systems and their finite temperature…

High Energy Physics - Theory · Physics 2009-09-10 Tatsuo Azeyanagi , Wei Li , Tadashi Takayanagi

We present a simple Lie-algebraic approach to momentum-space two-point functions of two-dimensional conformal field theory at finite temperature dual to the BTZ black hole. Making use of the real-time prescription of AdS/CFT correspondence…

High Energy Physics - Theory · Physics 2014-11-18 Satoshi Ohya

We use gauge/gravity duality to explore strongly coupled superconductors with dynamical exponent $z=2$. In the probe limit we numerically establish background solutions for the matter fields and plot the condensate versus the dimensionless…

High Energy Physics - Theory · Physics 2012-11-02 Yanyan Bu
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