Table Of Content

JOURNAL OF STATISTICAL PHYSICS Vol. 78, Nos. 1/2 January 1995 CONTENTS This special issue consists of papers dedicated to Lars Onsager ARTICLES Preface: Lars Onsager, In Memoriam 1 Joel L. Lebowitz Solvable Models in Statistical Mechanics, from Onsager Onward 7 R. J. Baxter The Chiral Potts Models Revisited 17 Helen A u- Yang and Jacques H. H. Perk Reentrant Dimensional Crossover in Planar Ising Superlattices 79 Lev V. Mikheev Phase Behavior of Hard Particles 103 Jeroen S. van Duijneveldt and Henk N. W. Lekkerkerker Equilibrium Concentration of Point Defects in Crystalline 4He at 0 K 117 Jennifer A. Hodgdon and Frank H. Stillinger Stacking Order and Disorder in Layered K3Me(CN)6 Compounds Studied by Diffuse X-Ray Scattering: A Realization of the ANNN1 Model? 135 Emil J. Samuelsen, Ellen D. Tuset, Dag Ausen, and Susan Jagner Phase Transitions in Phosphatidylcholine Foam Bilayers 147 Albena Nikolova and Dotchi Exerowa Acoustic Gas Slip Induced by Surface Waves 161 0. E. Aleksandrov and V. D. Seleznev Coulombic and Non-Coulombic Contributions to the Criticality of Ionic Fluids. An Experimental Approach 169 Hermann Weingdrtner, M. Kleemeier, S. Wiegand, and W. Schroer Criticality and Phase Transitions in Ionic Fluids 197 George Stell Surrogate Hamiltonian Description of Solvation Dynamics. Site Number Density and Polarization Charge Density Fomulations 239 Harold L. Friedman, Fernando O. Raineri, Fumio Hirata, and Baw-Ching Perng Metastable Decay Rates. Asymptotic Expansions, and Analytic Continuation of Thermodynamic Functions 267 O. Penrose Partition Function Zeros for Aperiodic Systems 285 Michael Baake, Uwe Grimm, and Carmelo Pisani A Soluble Model for Quantum Mechanical Dissipation 299 N. G. van Kampen Turbulent Cascades 311 K. R. Sreenivasan and G. Stolovitzky Local Energy Flux and the Refined Similarity Hypothesis 335 Gregory L. Eyink Besov Spaces and the Multifractal Hypothesis 353 Gregory L. Eyink Motion and Diffusion of a Passive Scalar in a Two-Dimensional Fluid 377 Laurence Mittag and Michael J. Stephen The Navier-Stokes Limit of Stationary Solutions of the Nonlinear Boltzmann Equation 389 R. Esposito, J. L. Lebowitz, and R. Marra Onsager-Casimir Reciprocity Relations for a Mixture of Rarefied Gases Interacting with a Laser Radiation 413 Felix Sharipov Microscopic Reversibility and the Nonlinear Einstein-Onsager Relation in Macro¬ scopic Description of Nucleation 431 V. A. Shneidman and P. Hdnggi Anisotropic Transport of Charge and Complexified Duality 441 C. A. Liitken The Effect of Magnetic Field and Convective Flow on Nematic Director Fluctuations 453 K. Otnes and T. Riste Criteria for Local Equilibrium in a System with Transport of Heat and Mass 463 Bjorn Hafskjold and Signe Kjelstrup Ratkje Inhomogeneous Glauber Dynamics and the Process of Crystallization of a Lattice Gas 495 L. Sasmaj and J. K. Percus An Alternative Approach to Electrochemistry 513 Katrine Seip For land and Tormod For land Weak Electrolytes, Brownian Motion, Vortices in Superfluid Films, and Odins Aker 531 Joseph L. McCauley Onsager, Ice, Biomembranes, Dimer Models, and the F-Model 549 J. F. Nagle The Origins of Onsager’s Key Role in the Development of Linear Irreversible Thermodynamics 563 Donald G. Miller The Onsager Formula, the Fisher-Hartwig Conjecture, and Their Influence on Research into Toeplitz Operators 575 Albrecht Bottcher Letter From Lars Onsager to Bruria Kaufman 585 Lars Onsager Was My Thesis Director 589 Stefan Machlup Lars Onsager Remembered 593 Joan Penrose Reprint of American Philosophical Society Article 595 Philip Lyons Lars Onsager 1903-1976: A Biographical Memoir 605 H. Christopher Longuet- Higgins and Michael E. Fisher Reprint of Nobel Lecture 641 Future Contributions to Journal of Statistical Physics 661 JOURNAL OF STATISTICAL PHYSICS Vol. 78, Nos. 3/4 February 1995 CONTENTS ARTICLES Numerical Results for the Three-State Critical Potts Model on Finite Rectangular Lattices 665 M. J. O'Rourke, R. J. Baxter, and V. V. Bazhanov A Rigorous Bound on the Critical Exponent for the Number of Lattice Trees, Animals, and Polygons 681 Neal Madras Critical Exponents from Nonlinear Functional Equations for Partially Directed Cluster Models 701 T. Prellberg and R. Brak Some Numerical Results on the Block Spin Transformation for the 2D Ising Model at the Critical Point 731 G. Benfatto, E. Marinari, and E. Olivieri Application of the Multicanonical Multigrid Monte Carlo Method to the Two- Dimensional </>4-Model: Autocorrelations and Interface Tension 759 Wolfhard Janke and Tilman Sauer A Monte Carlo Method for Estimating the Correlation Exponent 799 T. Mikosch and Qiang Wang Ising Models, Julia Sets, and Similarity of the Maximal Entropy Measures 815 Yutaka Ishii Exact Determination of the Two-Point Cluster Function for One-Dimensional Continuum Percolation 827 E. Cinlar and S. Torquato Gaussian Limit for Critical Oriented Percolation in High Dimensions 841 Bao Gia Nguyen and Wei-Shih Yang Transformation and Topological Reduction of Cluster Expansions Using m-Bonds 877 Hung-chang Chiu and David A. Kofke Relaxation Times in a Finite Ising System with Random Impurities 893 K. Oerding Stochastic Phase Lockings in a Relaxation Oscillator Forced by a Periodic Input with Additive Noise: A First-Passage-Time Approach 917 Takashi Tateno, Shinji Doi, Shunsuke Sato, and Luigi M. Ricciardi Asymptotic Behavior of the Density for Two-Particle Annihilating Exclusion 937 V. Belitsky Anisotropic Voter Model 963 M. A. Santos and S. Teixeira Deposition-Evaporation Stochastic Systems in Two and Higher Dimensions 971 Niu-Niu Chen, M. D. Grynberg, and R. B. Stinchcombe Patterns of Broken Symmetry in the Impurity-Perturbed Rigid-Disk Crystal 1011 Frank H. Stillinger and Boris D. Lubachevsky Relaxation Functions in Dipolar Materials 1027 A. Weron, K. Weron, and W. A. Woyczynski New Equipartition Results for Normal Mode Energies of Anharmonic Chains 1039 B. I. Henry and T. Szeredi Some Remarks Concerning Stability for Nonstationary Quantum Systems 1055 Cesar R. de Oliveira Orthogonality Between Scales in a Renormalization Group for Fermions 1067 Emmanuel Pereira Three-Dimensional Integrable Models and Associated Tangle Invariants 1083 B. L. Cerchiai, M. Martellini, and F. Valz-Gris Decay of Correlations for Piecewise Expanding Maps 1111 Carlangelo Liverani Corrections to the Critical Temperature in 2D Ising Systems with Kac Potentials 1131 M. Cassandro, R. Marra, and E. Presutti SHORT COMMUNICATIONS Classification of the Similarity Solutions of Free Kramers Equation 1139 Effat A. Saied Damage Spreading in a Single-Component Irreversible Reaction Process: Dependence of the System’s Immunity on the Euclidean Dimension 1147 Ezequiel V. Albano On Position-Space Renormalization Group Approach to Percolation 1157 Muhammad Sahimi and Hossein Rassamdana COMMENTS Classical Liquid-Gas Interface in Thermal Equilibrium 1165 Jerome K. Percus Correlation Functions in the Cavity Model of Ionic Fluids 1171 J. S. H0ye and G. Stell DEPARTMENTS Book Review: Disorder and Competition in Soluble Lattice Models 1173 Herbert Spohn Book Review: Statistical Thermodynamics of Surfaces, Interfaces, and Membranes 1175 Rudolf Podgornik Book Review: Statistical Physics of Macromolecules 1179 Rudolf Podgornik Book Review: Contemporary Problems in Statistical Physics 1181 Irwin Oppenheim Book Review: Statistical Thermophysics 1183 Haim Taitelbaum Book Review: Physics and Chance 1185 Srikanth Sastry Erratum: New Lower Bounds on the Self-A voiding-Walk Connective Constant 1187 Takashi Hara, Gordon Slade, and Alan D. Sokal Program: Statistical Physics Days, Istanbul Technical University Meeting, 14-15 July 1994 1189 Future Contributions to Journal of Statistical Physics 1193 JOURNAL OF STATISTICAL PHYSICS Vol. 78, Nos. 5/6 March 1995 CONTENTS ARTICLES Discrete Symmetry Groups of Vertex Models in Statistical Mechanics 1195 S. Boukraa, J.-M. Maillard, and G. Rollet The Chiral Potts Model and Its Associated Link Invariant 1253 F. Y. Wu, P. Pant, and C. King The Conical Point in the Ferroelectric Six-Vertex Model 1277 Dirk Jan Bukman and Joel D. Shore Comparison and Disjoint-Occurrence Inequalities for Random-Cluster Models 1311 Geoffrey Grimmett Two Applications of Percolation to Cellular Automata 1325 Jeffrey E. Steif Nonuniform van der Waals Theory 1337 M. K.-H. Kiessling and J. K. Percus The Stochastic Heat Equation: Feynman-Kac Formula and Intermittence 1377 Lorenzo Bertini and Nicoletta Cancrini Diffusion on a Random Comb: Distribution Function of the Survival Probability 1403 Claude Aslangul and Petr Chvosta Finite-Size Scaling Studies of One-Dimensional Reaction-Diffusion Systems. Part I. Analytical Results 1429 Klaus Krebs, Markus P. Pfannmuller, Birgit Wehefritz, and Haye Hinrithsen Finite-Size Scaling Studies of One-Dimensional Reaction-Diffusion Systems. Part II. Numerical Methods 1471 Klaus Krebs, Markus P. Pfannmuller, Horatiu Simon, and Birgit Wehefritz Phase Transitions in a Driven Lattice Gas in Two Planes 1493 A. Achahbar and J. Marro Generalized Boltzmann Equation for Lattice Gas Automata 1521 H. J. Bussemaker, M. H. Ernst, and J. W. Dufty Approximation of the Boltzmann Equation by Discrete Velocity Models 1555 Wolfgang Wagner Ergodicity, Ensembles, Irreversibility in Boltzmann and Beyond 1571 Giovanni Gallavotti Classical Motion in Two-Dimensional Crystals 1591 Burkhard Nobbe SHORT COMMUNICATIONS Superexponential Stability of KAM Tori 1607 Alessandro Morbidelli and Antonio Giorgilli The Spin-5 Blume-Capel RG Flow Diagram 1619 S. Moss de Oliveira, P. M. C. de Oliveira, and F. C. de Sa Barreto A Bit-String Model for Biological Aging 1629 T. J. P. Penna 822/81/5-6-12 DEPARTMENTS Book Review: Nonlinear Dynamics and Chaos 1635 Sinisa Pajevic Program: Fourth Liblice Conference on the Statistical Mechanics of Liquids 1637 Future Contributions to Journal of Statistical Physics 1641 JOURNAL OF STATISTICAL PHYSICS Vol. 79, Nos. 1/2 April 1995 CONTENTS ARTICLES On the Absence of Intermediate Phases in the Two-Dimensional Coulomb Gas 1 Michael E. Fisher, Xiao-jun Li, and Yan Levin Are Damage Spreading Transitions Generically in the Universality Class of Directed Percolation? 13 Peter Grassberger Instability of Renormalization-Group Pathologies Under Decimation 25 F. Martinelli and E. Olivieri Surface-Induced Finite-Size Effects for First-Order Phase Transitions 43 C. Borgs and R. Kotecky On the Behavior of the Surface Tension for Spin Systems in a Correlated Porous Medium 117 L. Chayes and J. Machta Interface Formation and a Structural Phase Transition for the Spherical Model of Ferromagnetism 165 Scott Allen Surface Tension, Step Free Energy, and Facets in the Equilibrium Crystal 183 Salvador Miracle-Sole Conservative Langevin Dynamics of Solid-on-Solid Interfaces 215 Pierre Collet, Francois Dunlop, and Thierry Gobron Bulk Diffusivity of Lattice Gases Close to Criticality 231 Herbert Spohn and Horng-Tzer Yau Reaction-Diffusion Processes of Hard-Core Particles 243 Gunter M. Schiitz Excursions for Polymers in Elongational Flows 265 David S. Dean and Kalvis M. Jansons Brownian Dynamics of Colloidal Hard Spheres. 3. Extended Investigations at the Phase Transition Regime 299 W. Schaertl Half-Range Expansion Analysis for Langevin Dynamics in the High-Friction Limit with a Singular Absorbing Boundary Condition: Noncharacteristic Case 313 M. M. Klosek Ground-State Energy of a Quantum Chain with Competing Interactions 347 C. E. I. Carneiro, M. J. de Oliveira, and W. F. Wreszinski Dynamics of Quantum Fluctuations in an Anharmonic Crystal Model 377 A. Verbeure and V. A. Zagrebnov Gibbs States of the Hopfield Model with Extensively Many Patterns 395 Anton Bovier, Veronique Gayrard, and Pierre Picco Chaotic Dynamics of High-Order Neural Networks 415 Ney Lemke, Jeferson J. Arenzon, and Francisco A. Tamar it Bifurcations in Globally Coupled Map Lattices 429 Wolfram Just Nearly Separable Behavior of Fermi-Pasta-Ulam Chains Through the Stochasticity Threshold 451 Carlo A lab iso, Mario Casartelli, and Paolo Marenzoni SHORT COMMUNICATIONS On the Purity of the Limiting Gibbs State for the Ising Model on the Bethe Lattice 473 P. M. Bleher, J. Ruiz, and V. A. Zagrebnov Generalization of an Aging Model 483 Michael Heumann and Michael Hotzel DEPARTMENTS Report on the Second International Workshop on Random Sequential Adsorption. Theory and Experiment 491 J. J. Ramsden Book Review: Aspects and Applications of the Random Walk 497 Future Contributions to Journal of Statistical Physics 501 JOURNAL OF STATISTICAL PHYSICS Vol. 79, Nos. 3/4 May 1995 CONTENTS ARTICLES A Testbench for the Nested Dipole Hypothesis of Kosterlitz and Thouless 503 A. Alastuey and P. J. Forrester Large-Field Versus Small-Field Expansions and Sobolev Inequalities 525 Pirmin Lemberger The General Solution of the Binding Mean Spherical Approximation for Pairing Ions 569 L. Blum and O. Bernard On the Statistical Mechanics Approach in the Random Matrix Theory: Integrated Density of States 585 A. Boutet de Monvel, L. Pastur, and M. Shcherbina Markov Chains with Exponentially Small Transition Probabilities: First Exit Problem from a General Domain. I. The Reversible Case 613 E. Olivieri and E. Scoppola Real-Space Renormalization Group for Langevin Dynamics in Absence of Trans¬ lational Invariance 649 Achille Giacometti, Amos Maritan, Flavio Toigo, and Jayanth R. Banavar Escape Statistics for Systems Driven by Dichotomous Noise. I. General Theory 669 J. Olarrea, J. M. R. Par rondo, and F. J. de la Rubia Escape Statistics for Systems Driven by Dichotomous Noise. II. The Imperfect Pitchfork Bifurcation as a Case Study 683 J. Olarrea, J. M. R. Parrondo, and F. J. de la Rubia Multifractal Analysis of Brownian Zero Set 701 G. M. Molchan Statistical Mechanics of Nonlinear Wave Equations. 3. Metric Transitivity for Hyperbolic Sine-Gordon 731 H. P. McKean The Invariant Densities for Maps Modeling Intermittency 739 Maximilian Thaler A Remark on the Hamiltonian Formalism for Incompressible Flows 743 Dario Benedetto Fluctuation-Dissipation Ratio in Three-Dimensional Spin Glasses 749 Silvio Franz and Heiko Rieger Remarks on the Star-Triangle Relation in the Baxter-Bazhanov Model 759 Zhan-Ning Hu and Bo- Yu Hou Almost Sure Quasilocality in the Random Cluster Model 765 Charles-Edouard PJister and Koen Vande Velde Mathematical Games and Sampling Inspection Plans 775 Liana Barak and Carol Braester Erratum: Time-Dependent Correlations in an Inhomogeneous One-Component Plasma 789 B. Jancovici, J. L. Lebowitz, and Ph. A. Martin Book Review: Chaos in Dynamical Systems 791 Srikanth Sastry 1994 Statistical Mechanics/Mathematical Physics Meeting 793 Future Contributions to Journal of Statistical Physics 797 JOURNAL OF STATISTICAL PHYSICS Vol. 79, Nos. 5/6 June 1995 CONTENTS ARTICLES Solving ID Plasmas and 2D Boundary Problems Using Jack Polynomials and Functional Relations 799 P. Fendley, F. Lesage, and H. Saleur Lifschitz’ Law for the Volume of a Two-Dimensional Droplet at Zero Temperature 821 L. Chayes, R. H. Schonmann, and G. Swindle Exact Diffusion Constant of a One-Dimensional Asymmetric Exclusion Model with Open Boundaries 833 B. Derrida, M. R. Evans, and K. Mallick From the Perron-Frobenius Equation to the Fokker-Planck Equation 875 Christian Beck First Passage Time in a Two-Layer System 895 Jysoo Lee and Joel Koplik Interface Motion in a Planar Spin-Flip Model Derived from Exclusion on the Line 923 Thomas Strobe! The Collapse Point of Interacting Trails in Two Dimensions from Kinetic Growth Simulations 951 A. L. Owczarek and T. Prellberg Pathological Behavior of Renormalization-Group Maps at High Fields and Above the Transition Temperture 969 Aernout C. D. van Enter, Roberto Fernandez, and Roman Kotecky SHORT COMMUNICA TIONS Frequency-Independent Rules for the Dielectric Susceptibility Derived from Two Forms of Self-Similar Dynamical Behavior of Dipolar Systems 993 A. Jurlewicz The Ground-State Energy of the ±J Spin Glass. A Comparison of Various Biologi¬ cally Motivated Algorithms 1005 Uwe Gropengiesser Conserved Moments in Nonequilibrium Field Dynamics 1013 M. B. Mineev-Weinstein and F. J. Alexander A Lattice Boltzmann Equation for Diffusion 1023 DDiieetteerr WWoollff--GGllaaddrrooww FFuuttuurree CCoonnttrriibbuuttiioonnss ttoo JJoouurrnnaall ooff SSttaattiissttiiccaall PPhhyyssiiccss 11003333