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First Steps in Glass Theory

Marc Mézard 1 More is different, Ong and Bhatt editors 1 (2002) 1 This paper is an introduction to some of the main present issues in the theory of structural glasses. After recalling a few experimental facts, it gives a short account of the analogy between fragile glasses and the mean field discontinuous spin glasses. The many […]

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Exact Asymptotic Results for Persistence in the Sinai Model with Arbitrary Drift

Alain Comtet 1, 2, Satya N. Majumdar 3 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 66 (2002) 061105 We obtain exact asymptotic results for the disorder averaged persistence of a Brownian particle moving in a biased Sinai landscape. We employ a new method that maps the problem of computing the persistence to the problem of finding the energy spectrum

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Dynamics of ballistic annihilation

Jaroslaw Piasecki, Emmanuel Trizac 1, 2, Michel Droz Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 66 (2002) 066111 The problem of ballistically controlled annihilation is revisited for general initial velocity distributions and arbitrary dimension. An analytical derivation of the hierarchy equations obeyed by the reduced distributions is given, and a scaling analysis of the corresponding spatially homogeneous system

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Discreteness and entropic fluctuations in GREM-like systems

M. Sasaki 1, O. C. Martin 1, 2 Physical Review B 66 (2002) 174411 Within generalized random energy models, we study the effects of energy discreteness and of entropy extensivity in the low temperature phase. At zero temperature, discreteness of the energy induces replica symmetry breaking, in contrast to the continuous case where the ground state is unique. However, when

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Deviations from Perfect Memory in Spin Glass Temperature Cycling Experiments

M. Sasaki 1, V. Dupuis 2, J. -P. Bouchaud 2, E. Vincent 2 European Physical Journal B 29 (2002) 469 We study the deviations from perfect memory in negative temperature cycle spin glass experiments. It is known that the a.c. susceptibility after the temperature is raised back to its initial value is superimposed to the reference isothermal curve for large enough temperature jumps

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Chaotic temperature dependence in a model of spin glasses

Florent Krzakala 1, Olivier C. Martin 1 European Physical Journal B 20 (2002) 199 We address the problem of chaotic temperature dependence in disordered glassy systems at equilibrium by following states of a random-energy random-entropy model in temperature; of particular interest are the crossings of the free-energies of these states. We find that this model exhibits strong, weak or no

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Almost sure convergence of the minimum bipartite matching functional in Euclidean space

J. Boutet De Monvel 1, Olivier C. Martin 2 COMBINATORICA 22 (2002) 523-530 Let $L_N = L_{MBM}(X_1,…, X_N; Y_1,…, Y_N)$ be the minimum length of a bipartite matching between two sets of points in $\mathbf{R}^d$, where $X_1,…, X_N,…$ and $Y_1,…, Y_N,…$ are random points independently and uniformly distributed in $[0,1]^d$. We prove that for $d \ge 3$, $L_N/N^{1-1/d}$ converges with

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Absence of an equilibrium ferromagnetic spin glass phase in three dimensions

Florent Krzakala 1, Olivier C. Martin 1 Physical Review Letters 89 (2002) 267202 Using ground state computations, we study the transition from a spin glass to a ferromagnet in 3-d spin glasses when changing the mean value of the spin-spin interaction. We find good evidence for replica symmetry breaking up till the critical value where ferromagnetic ordering sets in, and

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