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On the tail of the overlap probability distribution in the Sherrington-Kirkpatrick model
No full textOBSERVATION OF FSS FOR A 1ST-ORDER PHASE-TRANSITION
No full textBILLOIRE A, Neuhaus T, BERG B. OBSERVATION OF FSS FOR A 1ST-ORDER PHASE-TRANSITION. NUCLEAR PHYSICS B. 1993;396(2-3):779-788.We present the results of a multicanonical simulation of the q = 20 two-dimensional Potts model in the transition region. This is a very strong first-order phase transition. We observe, for the first time, the asymptotic finite size scaling behavior predicted by Borgs and Kotecky close to a first-order phase transition point
The Mean Field Infinite Range p = 3 Spin Glass: Equilibrium Landscape and Correlation Time Scales
No full textpreprint cond-mat/050119
FINITE-SIZE EFFECTS AT TEMPERATURE-DRIVEN 1ST-ORDER TRANSITIONS - COMMENT
No full textBILLOIRE A, LACAZE R, MOREL A, GUPTA S, IRBACK A, Petersson B. FINITE-SIZE EFFECTS AT TEMPERATURE-DRIVEN 1ST-ORDER TRANSITIONS - COMMENT. PHYSICAL REVIEW B. 1990;42(10):6743-6744
A DETERMINATION OF INTERFACE-FREE ENERGIES
No full textBILLOIRE A, Neuhaus T, BERG BA. A DETERMINATION OF INTERFACE-FREE ENERGIES. NUCLEAR PHYSICS B. 1994;413(3):795-812.We determine the interface free energy F(o.d.) between disordered and ordered phases in the q = 10 and q = 20 2d Potts models using the results of multicanonical Monte Carlo simulations on L2 lattices, and suitable finite-volume estimators. Our results, when extrapolated to the infinite-volume limit, agree to high precision with recent analytical calculations. At the transition point beta(t) the probability distribution function of the energy exhibits two maxima. Their locations have 1/L2 corrections, in contradiction with claims of 1/L behavior made in the literature. Our data show a flat region in between the two maxima which characterizes two domain configurations
Finite-size corrections in the Sherrington–Kirkpatrick model
No full textWe argue that when the number of spins N in the Sherrington-Kirkpatrick model is finite, the Parisi scheme can be terminated after K replica-symmetry breaking steps, where K(N) proportional to N-1/6. We have checked this idea by Monte Carlo simulations: we expect the typical number of peaks and features R in the (non-bond averaged) Parisi overlap function P-J (q) to be of order 2K( N), and our counting ( for samples of size N up to 4096 spins) gives results which are consistent with our arguments. We can estimate the leading finite-size correction for any thermodynamic quantity by finding its K-dependence in the Parisi scheme and then replacing K by K(N). Our predictions of how the Edwards-Anderson order parameter and the internal energy of the system approach their thermodynamic limit compare well with the results of our Monte Carlo simulations. The N-dependence of the sample-to-sample fluctuations of thermodynamic quantities can also be obtained; the total internal energy should have sample-to-sample fluctuations of order N-1/6, which is again consistent with the results of our numerical simulations
Going Beyond Counting First Authors in Author Co-citation Analysis
Get PDFThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
DYNAMICS NEAR A 1ST-ORDER PHASE-TRANSITION WITH THE METROPOLIS AND SWENDSEN-WANG ALGORITHMS
No full textBILLOIRE A, LACAZE R, MOREL A, GUPTA S, IRBACK A, Petersson B. DYNAMICS NEAR A 1ST-ORDER PHASE-TRANSITION WITH THE METROPOLIS AND SWENDSEN-WANG ALGORITHMS. NUCLEAR PHYSICS B. 1991;358(1):231-248.We have simulated the 10-state 2d Potts model with the Metropolis and Swendsen-Wang algorithms, in order to compare their performances near a first-order phase transition. We show that a simple Markov model relates the frequencies of the flips between coexisting phases and the auto-correlation times. It leads to a coherent description of the dynamics. The ratio of the algorithm efficiencies has little temperature dependence. A slight increase of the cluster algorithm efficiency with volume, as compared to the Metropolis method, is suggested
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