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We study the correlation length of the two-dimensional Ising spin glass with a Gaussian distribution of interactions, using an efficient Monte Carlo algorithm proposed by Houdayer, that allows larger sizes and lower temperatures to be…

Disordered Systems and Neural Networks · Physics 2007-05-23 Helmut G. Katzgraber , L. W. Lee , A. P. Young

We show numerically that correlation length at the critical point in the five-dimensional Ising model varies with system size L as L^{5/4}, rather than proportional to L as in standard finite size scaling (FSS) theory. Our results confirm a…

Disordered Systems and Neural Networks · Physics 2009-11-10 Jeff L. Jones , A. P. Young

Two-particle angular correlations are measured in high-multiplicity proton-proton collisions at $\sqrt{s} =13$ TeV by the ALICE Collaboration. The yields of particle pairs at short-($\Delta\eta$ $\sim$ 0) and long-range ($1.6 < |\Delta\eta|…

Nuclear Experiment · Physics 2021-08-27 ALICE Collaboration

We compute the two-point correlation functions of general quadratic operators in the high-temperature phase of the three-dimensional O(N) vector model by using field-theoretical methods. In particular, we study the small- and large-momentum…

Statistical Mechanics · Physics 2016-08-31 Pasquale Calabrese , Andrea Pelissetto , Ettore Vicari

We have studied the scaling properties of the electromagnetic response functions of $^4$He and $^{12}$C nuclei computed by the Green's Function Monte Carlo approach, retaining only the one-body current contribution. Longitudinal and…

Nuclear Theory · Physics 2017-08-02 N. Rocco , L. Alvarez-Ruso , A. Lovato , J. Nieves

We consider a definition of the QCD running coupling constant $\alpha(\mu)$ related to Wilson loops of size $r{\times}t$ with arbitrary fixed $t/r$. The schemes defined by these couplings are very close to the $\overline{\rm MS}$ scheme for…

High Energy Physics - Lattice · Physics 2009-10-28 Massimo Campostrini , Paolo Rossi , Ettore Vicari

We study the spin-spin correlations in two distinct random critical XX spin-1/2 chain models via exact diagonalization. For the well-known case of uncorrelated random coupling constants, we study the non-universal numerical prefactors and…

Disordered Systems and Neural Networks · Physics 2020-01-29 João C. Getelina , José A. Hoyos

Accurate numerical results are presented for the three-dimensional equivalent-neighbor model on a cubic lattice, for twelve different interaction ranges (coordination number between 18 and 250). These results allow the determination of the…

Statistical Mechanics · Physics 2009-10-31 Erik Luijten

We study the statistical properties of return intervals $r$ between successive energy dissipation rates above a certain threshold $Q$ in three-dimensional fully developed turbulence. We find that the distribution function $P_Q(r)$ scales…

Fluid Dynamics · Physics 2009-10-07 Chuang Liu , Zhi-Qiang Jiang , Fei Ren , Wei-Xing Zhou

We compute the correlation functions of 3 and 4 stress energy tensors $(T)$ in D=3 in free field theories of scalars, abelian gauge fields, and fermions, which are relevant in the analysis of cosmological non-gaussianities. These…

High Energy Physics - Theory · Physics 2013-01-29 Claudio Coriano , Luigi Delle Rose , Mirko Serino

The correlation function of the two dimensional Ising model with the nearest neighbours interaction on the finite size lattice with the periodical boundary conditions is derived. The expressions similar to the form factor expansion are…

High Energy Physics - Theory · Physics 2007-05-23 A. I. Bugrij

The angular and frequency correlation functions of the transmission coefficient for light propagation through a strongly scattering amplifying medium are considered. It is found that just as in the case of an elastic scattering medium the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. A. Burkov , A. Yu. Zyuzin

We derive explicit forms of the two--point correlation functions of the $O(N)$ non-linear sigma model at the critical point, in the large $N$ limit, on various three dimensional manifolds of constant curvature. The two--point correlation…

High Energy Physics - Theory · Physics 2015-06-26 S. Guruswamy , P. Vitale

We numerically investigate classical and quantum correlations in one-dimensional quantum critical systems. The infinite matrix product state (iMPS) representation is employed in order to consider an infinite-size spin chain. By using the…

Strongly Correlated Electrons · Physics 2018-05-10 Yan-Wei Dai , Xi-Hao Chen , Sam Young Cho , Huan-Qiang Zhou , Dao-Xin Yao

We study the critical behaviour of the $q$-state Potts model on an uncorrelated scale-free network having a power-law node degree distribution with a decay exponent $\lambda$. Previous data show that the phase diagram of the model in the…

Statistical Mechanics · Physics 2014-07-10 M. Krasnytska

The exact nature of the chiral phase transition in QCD is still under investigation. In $N_f=2$ and $N_f=(2+1)$ lattice simulations with staggered fermions the expected O($N$)-scaling behavior was observed. However, it is still not clear…

High Energy Physics - Phenomenology · Physics 2015-09-16 Paul Springer , Bertram Klein

We study the statistics of the backbone cluster between two sites separated by distance $r$ in two-dimensional percolation networks subjected to spatial long-range correlations. We find that the distribution of backbone mass follows the…

Statistical Mechanics · Physics 2012-08-27 A. D. Araújo , A. A. Moreira , R. N. Costa Filho , J. S. Andrade,

High temperature series expansions of the spin-spin correlation function for the plane rotator (or XY) model on the sc lattice are extended by three terms through order $\beta^{17}$. Tables of the expansion coefficients are reported for the…

High Energy Physics - Lattice · Physics 2019-08-15 P. Butera , M. Comi , A. J. Guttmann

We compute the beta-function and the anomalous dimension of all the non-derivative operators of the theory up to three-loops for the most general nearest-neighbour O(N)-invariant action together with some contributions to the four-loop…

High Energy Physics - Lattice · Physics 2009-10-22 Sergio Caracciolo , Andrea Pelissetto

Simulation data are analyzed for four 3D spin-$1/2$ Ising models: on the FCC lattice, the BCC lattice, the SC lattice and the Diamond lattice. The observables studied are the susceptibility, the reduced second moment correlation length, and…

Statistical Mechanics · Physics 2019-10-10 P. H. Lundow , I. A. Campbell
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