46 research outputs found

    Pareto Local Optima of Multiobjective NK-Landscapes with Correlated Objectives

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    International audienceIn this paper, we conduct a fitness landscape analysis for multiobjective combinatorial optimization, based on the local optima of multiobjective NK-landscapes with objective correlation. In single-objective optimization, it has become clear that local optima have a strong impact on the performance of metaheuristics. Here, we propose an extension to the multiobjective case, based on the Pareto dominance. We study the co-influence of the problem dimension, the degree of non-linearity, the number of objectives and the correlation degree between objective functions on the number of Pareto local optima

    Damage Spreading During Domain Growth

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    We study damage spreading in models of two-dimensional systems undergoing first order phase transitions. We consider several models from the same non-conserved order parameter universality class, and find unexpected differences between them. An exact solution of the Ohta-Jasnow-Kawasaki model yields the damage growth law DtϕD \sim t^{\phi}, where ϕ=td/4\phi = t^{d/4} in dd dimensions. In contrast, time-dependent Ginzburg-Landau simulations and Ising simulations in d=2d= 2 using heat-bath dynamics show power-law growth, but with an exponent of approximately 0.360.36, independent of the system sizes studied. In marked contrast, Metropolis dynamics shows damage growing via ϕ1\phi \sim 1, although the damage difference grows as t0.4t^{0.4}. PACS: 64.60.-i, 05.50.+qComment: 4 pags of revtex3 + 3 postscript files appended as a compressed and uuencoded file. UIB940320

    Labyrinthine Turing Pattern Formation in the Cerebral Cortex

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    I propose that the labyrinthine patterns of the cortices of mammalian brains may be formed by a Turing instability of interacting axonal guidance species acting together with the mechanical strain imposed by the interconnecting axons.Comment: See home page http://lec.ugr.es/~julya

    Differential Cross Section for Higgs Boson Production Including All-Orders Soft Gluon Resummation

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    The transverse momentum QTQ_T distribution is computed for inclusive Higgs boson production at the energy of the CERN Large Hadron Collider. We focus on the dominant gluon-gluon subprocess in perturbative quantum chromodynamics and incorporate contributions from the quark-gluon and quark-antiquark channels. Using an impact-parameter bb-space formalism, we include all-orders resummation of large logarithms associated with emission of soft gluons. Our resummed results merge smoothly at large QTQ_T with the fixed-order expectations in perturbative quantum chromodynamics, as they should, with no need for a matching procedure. They show a high degree of stability with respect to variation of parameters associated with the non-perturbative input at low QTQ_T. We provide distributions dσ/dydQTd\sigma/dy dQ_T for Higgs boson masses from MZM_Z to 200 GeV. The average transverse momentum at zero rapidity yy grows approximately linearly with mass of the Higgs boson over the range MZ<mh0.18mh+18M_Z < m_h \simeq 0.18 m_h + 18 ~GeV. We provide analogous results for ZZ boson production, for which we compute 25 \simeq 25 GeV. The harder transverse momentum distribution for the Higgs boson arises because there is more soft gluon radiation in Higgs boson production than in ZZ production.Comment: 42 pages, latex, 26 figures. All figures replaced. Some changes in wording. Published in Phys. Rev. D67, 034026 (2003

    Pseudoscalar Higgs boson production associated with a single bottom quark at hadron colliders

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    We compute the complete next-to-leading order (NLO) SUSY-QCD corrections for the associated production of a pseudoscalar Higgs boson with a bottom quark via bottom-gluon fusion at the CERN Large Hadron Collider (LHC) and the Fermilab Tevatron. We find that the NLO QCD correction in the MSSM reaches 4040%\sim50% at the LHC and 4545%\sim80% at the Tevatron in our chosen parameter space

    Higgs Boson Decay into Hadronic Jets

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    The remarkable agreement of electroweak data with standard model (SM) predictions motivates the study of extensions of the SM in which the Higgs boson is light and couples in a standard way to the weak gauge bosons. Postulated new light particles should have small couplings to the gauge bosons. Within this context it is natural to assume that the branching fractions of the light SM-like Higgs boson mimic those in the standard model. This assumption may be unwarranted, however, if there are non-standard light particles coupled weakly to the gauge bosons but strongly to the Higgs field. In particular, the Higgs boson may effectively decay into hadronic jets, possibly without important bottom or charm flavor content. As an example, we present a simple extension of the SM, in which the predominant decay of the Higgs boson occurs into a pair of light bottom squarks that, in turn, manifest themselves as hadronic jets. Discovery of the Higgs boson remains possible at an electron-positron linear collider, but prospects at hadron colliders are diminished substantially.Comment: 30 pages, 7 figure

    Simultaneous Search for Two Higgs Bosons of Minimal Supersymmetry at the LHC

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    The prospects of detecting the CP-odd Higgs pseudoscalar (AA) in the minimal supersymmetric model via its decay into a ZZ boson and the lighter CP-even Higgs scalar (hh) at the CERN Large Hadron Collider are investigated. The final state of Zl+lZ \to l^+l^- and hbbˉh \to b\bar{b}, may provide a promising way to simultaneously detect the AA and the hh. The compact muon solenoid detector performance is adopted for a realistic study of observability. In this discovery channel, the masses of the hh and the AA can be reconstructed. The impact of supersymmetric decay modes is considered.Comment: 17 pages, REVTEX, 6 figure

    25 Years of Self-organized Criticality: Concepts and Controversies

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    Introduced by the late Per Bak and his colleagues, self-organized criticality (SOC) has been one of the most stimulating concepts to come out of statistical mechanics and condensed matter theory in the last few decades, and has played a significant role in the development of complexity science. SOC, and more generally fractals and power laws, have attracted much comment, ranging from the very positive to the polemical. The other papers (Aschwanden et al. in Space Sci. Rev., 2014, this issue; McAteer et al. in Space Sci. Rev., 2015, this issue; Sharma et al. in Space Sci. Rev. 2015, in preparation) in this special issue showcase the considerable body of observations in solar, magnetospheric and fusion plasma inspired by the SOC idea, and expose the fertile role the new paradigm has played in approaches to modeling and understanding multiscale plasma instabilities. This very broad impact, and the necessary process of adapting a scientific hypothesis to the conditions of a given physical system, has meant that SOC as studied in these fields has sometimes differed significantly from the definition originally given by its creators. In Bak’s own field of theoretical physics there are significant observational and theoretical open questions, even 25 years on (Pruessner 2012). One aim of the present review is to address the dichotomy between the great reception SOC has received in some areas, and its shortcomings, as they became manifest in the controversies it triggered. Our article tries to clear up what we think are misunderstandings of SOC in fields more remote from its origins in statistical mechanics, condensed matter and dynamical systems by revisiting Bak, Tang and Wiesenfeld’s original papers
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