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We investigate the one-dimensional pair contact process with diffusion (PCPD) by extensive Monte Carlo simulations, mainly focusing on the critical density decay exponent $\delta$. To obtain an accurate estimate of $\delta$, we first find…

Statistical Mechanics · Physics 2014-11-24 Su-Chan Park

A comprehensive program of \cp~studies in heavy flavour decays has to go beyond observing large \cp asymmetries in nonleptonic B decays and finding that the sum of the three angles of the KM triangle is consistent with 180$^{\circ}$. There…

High Energy Physics - Phenomenology · Physics 2007-05-23 I. I. Bigi , A. I. Sanda

Recent experiments indicate that the excitation spectrum of the cuprates is characterised, in the superconducting state, by two energy scales: the ``coherence energy'' \Delta_c and the ``pseudogap'' \Delta_p. Here we consider a simple…

Superconductivity · Physics 2009-11-07 J. Quintanilla , B. L. Gyorffy

We show that strongly-coupled, translation-invariant holographic IR phases at finite density can be classified according to the scaling behaviour of the metric, the electric potential and the electric flux introducing four critical…

High Energy Physics - Theory · Physics 2014-12-11 B. Goutéraux

Implications of cosmological model with a cosmological term of the form $\Lambda = \beta \frac{\ddot {a}}{a}$, where $\beta$ is a constant, are analyzed in multidimensional space time. The proper distance, the luminosity distance-redshift,…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Anirudh Pradhan , G. S. Khadekar , Deepak Srivastava

In this paper we study the relationship between three numerical invariants associated to a Kleinian group, namely the critical exponent, the Hausdorff dimension of the limit set and the convex core entropy. The Hausdorff dimension of the…

Complex Variables · Mathematics 2012-04-11 Kurt Falk , Katsuhiko Matsuzaki

Unidirectionally coupled systems which exhibit phase transitions into an absorbing state are investigated at the multicritical point. We find that for initial conditions with isolated particles, each hierarchy level exhibits an…

Statistical Mechanics · Physics 2009-11-10 Sungchul Kwon , Gunter M. Schutz

Numerically we simulate the short-time behaviour of the critical dynamics for the two dimensional Ising model and Potts model with an initial state of very high temperature and small magnetization. Critical initial increase of the…

Condensed Matter · Physics 2009-10-28 K. Okano , L. Schuelke , K. Yamagishi , B. Zheng

The theory of deconfined quantum critical points describes phase transitions at temperature T = 0 outside the standard paradigm, predicting continuous transformations between certain ordered states where conventional theory requires…

Strongly Correlated Electrons · Physics 2016-04-28 Hui Shao , Wenan Guo , Anders W. Sandvik

We use the lace expansion to prove an infra-red bound for site percolation on the hypercubic lattice in high dimension. This implies the triangle condition and allows us to derive several critical exponents that characterize mean-field…

Probability · Mathematics 2020-10-28 Markus Heydenreich , Kilian Matzke

We study various physical quantities associated with holographic s-wave superconductors as functions of the scaling dimensions of the dual condensates. A bulk scalar field with negative mass squared $m^2$, satisfying the…

High Energy Physics - Theory · Physics 2009-09-25 Obinna C. Umeh

The critical exponents and the critical amplitude ratio of the scalar model are determined using finite-temperature field theory with auxiliary mass. A new numerical method is developed to solve an evolution equation. The results are…

High Energy Physics - Phenomenology · Physics 2009-10-31 Kenzo Ogure , Joe Sato

Critical opalescence is a characteristic experimental signature of a second order phase transition in solid state physics. A new, experimentally accessible measure of opacity and of attenuation length in heavy ion reactions is suggested, as…

Nuclear Theory · Physics 2010-02-09 T. Csorgo

We consider second-order phase transitions in which the order parameter is a replicated overlap matrix. We focus on a tricritical point that occurs in a variety of mean-field models and that, more generically, describes higher order…

Disordered Systems and Neural Networks · Physics 2024-05-27 Luca Leuzzi , Tommaso Rizzo

Dimensionality-reduction methods are a fundamental tool in the analysis of large data sets. These algorithms work on the assumption that the "intrinsic dimension" of the data is generally much smaller than the ambient dimension in which it…

Machine Learning · Computer Science 2018-10-30 Henry Kvinge , Elin Farnell , Michael Kirby , Chris Peterson

For a pinched Hadamard manifold $X$ and a discrete group of isometries $\Gamma$ of $X$, the critical exponent $\delta_\Gamma$ is the exponential growth rate of the orbit of a point in $X$ under the action of $\Gamma$. We show that the…

Dynamical Systems · Mathematics 2017-02-21 Rhiannon Dougall

We investigate holographic superconductors in asympototically geometries with hyperscaling violation. The mass of the scalar field decouples from the UV dimension of the dual scalar operator and can be chosen as negative as we want, without…

High Energy Physics - Theory · Physics 2015-06-15 ZhongYing Fan

We investigate numerically the transverse and longitudinal correlation lengths of the three-dimensional O(4) model as a function of the external field H. From our data we calculate the scaling function of the transverse correlation length,…

High Energy Physics - Lattice · Physics 2015-06-25 J. Engels , L. Fromme , M. Seniuch

Superconducting phase diagram of the extended Hubbard model supplemented with interaction and hopping terms exceeding nearest neighbour distance in range is analysed systematically at different band-filling and temperature values in a…

Strongly Correlated Electrons · Physics 2007-05-23 Zs. Szabo , Zs. Gulacsi

We study percolation on the hierarchical lattice of order $N$ where the probability of connection between two points separated by distance $k$ is of the form $c_k/N^{k(1+\delta)},\; \delta >-1$. Since the distance is an ultrametric, there…

Probability · Mathematics 2012-05-25 Donald Dawson , Luis Gorostiza
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