New Monte Carlo Technique for Studying Phase Transitions

Abstract

New Monte Carlo Technique for Studying Phase Transitions. ALAN M. FERRENBERG and ROBERT H. SWENDSEN [Phys. Rev. Lett. 61, 2635 (1988].A reference to the work of I. R. McDonald and K. Singer [Discuss. Faraday Soc. 43, 40 (1967)] was inadvertently omitted. They were, to the best of our knowledge, the first to use the equations of Salsburg et al [J. Chem. Phys. 30, 65 (1959)] to evaluate physical quantities over a range of temperatures.It has also been called to our attention that the extension of the histogram approach to complex temperatures, which we attributed to Bhanot and co-workers, was actually introduced earlier by M. Falcioni, E. Marinari, M. L. Paciello, G. Parisi, and B. Taglienti [Phys. Lett. 108B, 331 (1982)], and E. Marinari [Nucl. Phys. B235 [FS11], 123 (1984)]. Constraint on Deviations from Universality in the Coupling to Gravity of Photons and High-Energy Cosmic Rays. M. GASPERINI [Phys. Rev. Lett. 62, 1945 (1989)]. I would like to call attention to previous related work. It has been pointed out by M. D. Gabriel and M. P. Haugan that very stringent constraints on universality of the gravitational coupling, similar to the one presented in my paper, based, however, on tests of the isotropy of space, are contained in M. P. Haugan and C. M. Will, Phys. Today 40, No. 1, 69 (1987); P. Lubin et al, Astrophys. J. 298, LI (1985); J. D. Prestage et al, Phys. Rev. Lett. 54, 2398Lett. 54, (1985, and their theoretical interpretation was developed in V. W. Hughes et al, Phys. Rev. Lett. 4, 342 (1960); M. P. Haugan, Ann. Phys. (N.Y.) 118, 156 (1979). Finally, the possibility of gravityinduced Cherenkov emission, in the case of violation of the equivalence principle, was first considered in E. F. Beall, Phys. Rev. Lett. 21, 1364 (1968 Phys. Rev. D 1, 961 (1970). (This last information was kindly provided to me by T. J. Devlin.)

Spin and gauge systems on spherical lattices

“…In all cases bulk quantities were obtained at various values of the coupling and combined with the multihistogram method [8], giving…”

Computation of thermodynamic properties in the continuous fractional component Monte Carlo Gibbs ensemble

“…[4][5][6] Since the introduction of Gibbs Ensemble (GE) in 1980s by Panagiotopoulos, [7][8][9] simulations in this ensemble are frequently used to study VLE of pure components and mixtures. [10][11][12][13][14] Other methods such as histogram reweighting in the grand-canonical ensemble [15,16] can be more efficient to study VLE. However, since the GE is convenient and sufficiently accurate, it is still widely used for simulating phase coexistence of pure components and mixtures.…”

APOA5 -1131T>C and APOC3 -455T>C polymorphisms are associated with an increased risk of coronary heart disease

“…A fixed-effects model was employed unless significant heterogeneity was detected (P < 0.05 or I 2 > 50%), in which case a random-effects model was applied (Zintzaras et al, 2005). Univariate and multivariate meta-regression analyses were used to estimate sources of heterogeneity, and Monte Carlo simulation was performed to correct and verify results (Ferrenberg et al, 1988;Huizenga et al, 2011, Jackson et al, 2012. One-way sensitivity analysis was carried out to evaluate whether the removal of a single study would influence the overall outcome.…”