2002

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 […]

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

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

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

Nicolas Pavloff 1 Physical Review A: Atomic, Molecular and Optical Physics 66 (2002) 013610 The 1D flow of a continuous beam of Bose-Einstein condensed atoms in the presence of an obstacle is studied as a function of the beam velocity and of the type of perturbing potential (representing the interaction of the obstacle with the atoms of

Mezard, M., Parisi, G., Zecchina, R. Science 297 (2002) 812

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

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

Jesper-Lykke Jacobsen 1, Paul Zinn-Justin 1 Journal of Physics A 35 (2002) 2131-2144 Rephrasing the backbone of two-dimensional percolation as a monochromatic path crossing problem, we investigate the latter by a transfer matrix approach. Conformal invariance links the backbone dimension D_b to the highest eigenvalue of the transfer matrix T, and we obtain the result D_b=1.6431 \pm 0.0006. For

Jesper-Lykke Jacobsen 1, Paul Zinn-Justin 1 Journal of Knot and its Theoretical Ramifications 11 (2002) 739-758 We propose a new method to enumerate alternating knots using a transfer matrix approach. We apply it to count numerically various objects, including prime alternating tangles with two connected components, up to order 18–22, and comment on the large-order behavior in connection with