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Scaling of the conductances and the finite-size localization lengths is generalized to anisotropic systems and tested in two dimensional systems. Scaling functions of isotropic systems are recovered once the dimension of the system in each…

Condensed Matter · Physics 2009-10-30 Qiming Li , C. M. Soukoulis , S. Katsoprinakis , E. N. Economou

The 2+1 dimensional quantum Lifshitz model can be generalised to a class of higher dimensional free field theories that exhibit Lifshitz scaling. When the dynamical critical exponent equals the number of spatial dimensions, equal time…

High Energy Physics - Theory · Physics 2017-06-21 Ville Keranen , Watse Sybesma , Phillip Szepietowski , Larus Thorlacius

We study the crossover between classical and nonclassical critical behaviors. The critical crossover limit is driven by the Ginzburg number G. The corresponding scaling functions are universal with respect to any possible microscopic…

Statistical Mechanics · Physics 2009-10-31 A. Pelissetto , P. Rossi , E. Vicari

The statistical properties of the increments x(t+T) - x(t) of a financial time series depend on the time resolution T on which the increments are considered. A non-parametric approach is used to study the scale dependence of the empirical…

Statistical Mechanics · Physics 2008-12-02 Rama Cont

The chiral glass behaviour of the nearest-neighbour random-bond XY spin glass in four dimensions is studied by Monte Carlo simulations. A chiral glass transition at $T_{cg}=0.90\pm 0.05$ is found by a finite-size scaling analysis of the…

Disordered Systems and Neural Networks · Physics 2016-08-31 S. Jain

The 2d O(3) model is widely used as a toy model for ferromagnetism and for Quantum Chromodynamics. With the latter it shares --- among other basic aspects --- the property that the continuum functional integral splits into topological…

High Energy Physics - Lattice · Physics 2018-12-12 Wolfgang Bietenholz , Philippe de Forcrand , Urs Gerber , Héctor Mejía-Díaz , Ilya O. Sandoval

The SU(3) octet SS-PP correlator and the difference of the singlet and octet scalar correlators are computed within Resonance Chiral Theory. The calculation is carried on up to the one-loop level, i.e., up to next-to-leading order in the…

High Energy Physics - Phenomenology · Physics 2011-02-15 J. J. Sanz-Cillero

We study the correlation function of the one-dimensional Ising model at fixed magnetization. Focusing on the scaling limit close to the zero-temperature fixed point, we show that this correlation function, in momentum space, exhibits…

Statistical Mechanics · Physics 2025-11-19 Ivan Balog , Adam Rançon

We consider correlation functions of topologically twisted, $\mathcal{N}=2$ supersymmetric Yang-Mills theory with gauge group ${\rm SU}(2)$ and $N_f\leq 3$ massive hypermultiplets in the fundamental representation. For a smooth, compact,…

High Energy Physics - Theory · Physics 2026-02-25 Elias Furrer , Jan Manschot

We investigate the short time quantum critical dynamics in the imaginary time relaxation processes of finite size systems. Universal scaling behaviors exist in the imaginary time evolution and in particular, the system undergoes a critical…

Strongly Correlated Electrons · Physics 2017-09-20 Yu-Rong Shu , Shuai Yin , Dao-Xin Yao

The $O(N)$ model with scalar quartic interactions at its ultraviolet fixed point, and the $O(N)$ model with scalar cubic interactions at its infra-red fixed point are conjectured to be equivalent. This has been checked by comparing various…

High Energy Physics - Theory · Physics 2022-06-29 I. Jack , D. R. T. Jones

Critical scaling and universality in short-time dynamics for spin models on a two-dimensional triangular lattice are investigated by using Monte Carlo simulation. Emphasis is placed on the dynamic evolution from fully ordered initialstates…

Soft Condensed Matter · Physics 2009-11-07 H. P. Ying , L. Wang , J. B Zhang , M. Jiang , J. Hu

The gaussian closure approximation previously used to study the growth kinetics of the non-conserved O(n) model is shown to be the zeroth-order approximation in a well-defined sequence of approximations composing a more elaborate theory.…

Condensed Matter · Physics 2009-10-28 Robert A. Wickham , Gene F. Mazenko

We study the finite-size scaling behaviour at the critical point, resulting from the addition of a homogeneous size-dependent perturbation, decaying as an inverse power of the system size. The scaling theory is first formulated in a general…

Statistical Mechanics · Physics 2023-03-06 L. Turban

We study systems with a crossover parameter lambda, such as the temperature T, which has a threshold value lambda* across which the correlation function changes from exhibiting fixed wavelength (or time period) modulations to continuously…

Statistical Mechanics · Physics 2015-02-25 Saurish Chakrabarty , Vladimir Dobrosavljevic , Alexander Seidel , Zohar Nussinov

In view of recent data from the Thomas Jefferson National Accelerator Facility (JLab) on inclusive electron scattering off nuclei at high momentum transfer (Q^2 > 1 GeV^2) and their current analysis, it is shown that, if the scaling…

Nuclear Theory · Physics 2009-06-30 Claudio Ciofi degli Atti , Chiara Benedetta Mezzetti

We investigate generic n-point correlation functions of conformal field theories (CFTs), with $T\bar{T}$ and $J\bar{T}$ deformations, in terms of the perturbative CFT approach. We systematically obtain the first order correction to the…

High Energy Physics - Theory · Physics 2022-04-26 Song He

We have extended through beta^{23} the high-temperature expansion of the second field derivative of the susceptibility for Ising models of general spin, with nearest-neighbor interactions, on the simple cubic and the body-centered cubic…

High Energy Physics - Lattice · Physics 2009-11-07 P. Butera , M. Comi

There are two independent critical exponents that describe the behavior of systems near their critical point. However, at the critical point only the exponent $\eta$, which describes the decay of the correlation function, is usually…

Statistical Mechanics · Physics 2015-06-25 S. Davatolhagh

The scaling of the growth of CdTe films on glass substrates was investigated by Mata \textit{et al.} [Phys. Rev. B \textbf{78}, 115305 (2008)]. Part of the analysis consisted of the estimation of the correlation length $\xi$ using the decay…

Materials Science · Physics 2015-03-17 Fábio S. Nascimento , Angélica S. Mata , Silvio C. Ferreira , Sukarno O. Ferreira
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