2,287 research outputs found

    On locations and properties of the multicritical point of Gaussian and +/-J Ising spin glasses

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    We use transfer-matrix and finite-size scaling methods to investigate the location and properties of the multicritical point of two-dimensional Ising spin glasses on square, triangular and honeycomb lattices, with both binary and Gaussian disorder distributions. For square and triangular lattices with binary disorder, the estimated position of the multicritical point is in numerical agreement with recent conjectures regarding its exact location. For the remaining four cases, our results indicate disagreement with the respective versions of the conjecture, though by very small amounts, never exceeding 0.2%. Our results for: (i) the correlation-length exponent ν\nu governing the ferro-paramagnetic transition; (ii) the critical domain-wall energy amplitude η\eta; (iii) the conformal anomaly cc; (iv) the finite-size susceptibility exponent γ/ν\gamma/\nu; and (v) the set of multifractal exponents {ηk}\{\eta_k \} associated to the moments of the probability distribution of spin-spin correlation functions at the multicritical point, are consistent with universality as regards lattice structure and disorder distribution, and in good agreement with existing estimates.Comment: RevTeX 4, 9 pages, 2 .eps figure

    Noncommutative Thermofield Dynamics

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    The real-time operator formalism for thermal quantum field theories, thermofield dynamics, is formulated in terms of a path-integral approach in non-commutative spaces. As an application, the two-point function for a thermal non-commutative λϕ4\lambda \phi^4 theory is derived at the one-loop level. The effect of temperature and the non-commutative parameter, competing with one another, is analyzed.Comment: 13 pages; to be published in IJMP-A

    Connectivity-dependent properties of diluted sytems in a transfer-matrix description

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    We introduce a new approach to connectivity-dependent properties of diluted systems, which is based on the transfer-matrix formulation of the percolation problem. It simultaneously incorporates the connective properties reflected in non-zero matrix elements and allows one to use standard random-matrix multiplication techniques. Thus it is possible to investigate physical processes on the percolation structure with the high efficiency and precision characteristic of transfer-matrix methods, while avoiding disconnections. The method is illustrated for two-dimensional site percolation by calculating (i) the critical correlation length along the strip, and the finite-size longitudinal DC conductivity: (ii) at the percolation threshold, and (iii) very near the pure-system limit.Comment: 4 pages, no figures, RevTeX, Phys. Rev. E Rapid Communications (to be published

    Universality, frustration and conformal invariance in two-dimensional random Ising magnets

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    We consider long, finite-width strips of Ising spins with randomly distributed couplings. Frustration is introduced by allowing both ferro- and antiferromagnetic interactions. Free energy and spin-spin correlation functions are calculated by transfer-matrix methods. Numerical derivatives and finite-size scaling concepts allow estimates of the usual critical exponents γ/ν\gamma/\nu, α/ν\alpha/\nu and ν\nu to be obtained, whenever a second-order transition is present. Low-temperature ordering persists for suitably small concentrations of frustrated bonds, with a transition governed by pure--Ising exponents. Contrary to the unfrustrated case, subdominant terms do not fit a simple, logarithmic-enhancement form. Our analysis also suggests a vertical critical line at and below the Nishimori point. Approaching this point along either the temperature axis or the Nishimori line, one finds non-diverging specific heats. A percolation-like ratio γ/ν\gamma/\nu is found upon analysis of the uniform susceptibility at the Nishimori point. Our data are also consistent with frustration inducing a breakdown of the relationship between correlation-length amplitude and critical exponents, predicted by conformal invariance for pure systems.Comment: RevTeX code for 10 pages, 9 eps figures, to appear in Physical Review B (September 1999

    Kosterlitz-Thouless transition in three-state mixed Potts ferro-antiferromagnets

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    We study three-state Potts spins on a square lattice, in which all bonds are ferromagnetic along one of the lattice directions, and antiferromagnetic along the other. Numerical transfer-matrix are used, on infinite strips of width LL sites, 4L144 \leq L \leq 14. Based on the analysis of the ratio of scaled mass gaps (inverse correlation lengths) and scaled domain-wall free energies, we provide strong evidence that a critical (Kosterlitz-Thouless) phase is present, whose upper limit is, in our best estimate, Tc=0.29±0.01T_c=0.29 \pm 0.01. From analysis of the (extremely anisotropic) nature of excitations below TcT_c, we argue that the critical phase extends all the way down to T=0. While domain walls parallel to the ferromagnetic direction are soft for the whole extent of the critical phase, those along the antiferromagnetic direction seem to undergo a softening transition at a finite temperature. Assuming a bulk correlation length varying, for T>TcT>T_c, as ξ(T)=aξexp[bξ(TTc)σ]\xi (T) =a_\xi \exp [ b_\xi (T-T_c)^{-\sigma}], σ1/2\sigma \simeq 1/2, we attempt finite-size scaling plots of our finite-width correlation lengths. Our best results are for Tc=0.50±0.01T_c=0.50 \pm 0.01. We propose a scenario in which such inconsistency is attributed to the extreme narrowness of the critical region.Comment: 11 pages, 6 .eps figures, LaTeX with IoP macros, to be published in J Phys

    StarHorse: A Bayesian tool for determining stellar masses, ages, distances, and extinctions for field stars

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    Understanding the formation and evolution of our Galaxy requires accurate distances, ages and chemistry for large populations of field stars. Here we present several updates to our spectro-photometric distance code, that can now also be used to estimate ages, masses, and extinctions for individual stars. Given a set of measured spectro-photometric parameters, we calculate the posterior probability distribution over a given grid of stellar evolutionary models, using flexible Galactic stellar-population priors. The code (called {\tt StarHorse}) can acommodate different observational datasets, prior options, partially missing data, and the inclusion of parallax information into the estimated probabilities. We validate the code using a variety of simulated stars as well as real stars with parameters determined from asteroseismology, eclipsing binaries, and isochrone fits to star clusters. Our main goal in this validation process is to test the applicability of the code to field stars with known {\it Gaia}-like parallaxes. The typical internal precision (obtained from realistic simulations of an APOGEE+Gaia-like sample) are 8%\simeq 8\% in distance, 20%\simeq 20\% in age,6 \simeq 6\ % in mass, and 0.04\simeq 0.04 mag in AVA_V. The median external precision (derived from comparisons with earlier work for real stars) varies with the sample used, but lies in the range of [0,2]%\simeq [0,2]\% for distances, [12,31]%\simeq [12,31]\% for ages, [4,12]%\simeq [4,12]\% for masses, and 0.07\simeq 0.07 mag for AVA_V. We provide StarHorse distances and extinctions for the APOGEE DR14, RAVE DR5, GES DR3 and GALAH DR1 catalogues.Comment: 21 pages, 12 figures, accepte

    Impacts of stocking on the genetic diversity of Colossoma macropomum in central Amazon, Brazil.

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    Tambaqui (Colossoma macropomum) is the main fish species farmed on a commercial scale in northern Brazil. In view of the current scenario of Brazilian aquaculture, studies on the genetic improvement and reproductive management of captive tambaqui are crucial in identifying the genetic variability of broodstocks and devising management practices. Genetic diversity of three tambaqui broodstocks in western Amazon was evaluated using molecular markers
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