Finite-Size Scaling

Content: 
Current Physics – Sources and Comments
Page ii

Front Matter
Page iii

Copyright page
Page iv

Preface
Page v

Acknowledgements
Pages vii-viii

1 - Introduction to Theory of Finite-Size Scaling
Pages 1-7

Scaling Theory for Finite-Size Effects in the Critical Region
Pages 8-11
Michael E. Fisher, Michael N. Barber

An Investigation of Finite Size Scaling
Pages 12-19
E. Brézin

Finite Size Effects in Phase Transitions
Pages 20-46
E. BRÉZIN, J. ZINN-JUSTIN

Finite-Size Scaling and the Renormalization Group
Pages 47-67
Joseph Rudnick, Hong Guo, David Jasnow

Finite Size Critical Behavior for Dirichlet Boundary Conditions
Pages 68-78
E. Eisenriegler

Finite Size Scaling Analysis of Ising Model Block Distribution Functions
Pages 79-100
K. Binder

Helmholtz Free Energy of Finite Spin Systems Near Criticality
Pages 101-112
E. Eisenriegler, R. Tomaschitz

Finite Size Scaling Effects in Dynamics
Pages 113-127
Yadin Y. GOLDSCHMIDT

Dynamical Relaxation in Finite Size Systems: Non-Linear and Linear Decay of the Magnetization
Pages 128-143
Yadin Y. GOLDSCHMIDT

Finite-Size Tests of Hyperscaling
Pages 144-148
K. Binder, M. Nauenberg, V. Privman, A.P. Young

Finite-Size Effects at First-Order Transitions
Pages 149-181
Vladimir Privman, Michael E. Fisher

2 - Applications
Pages 183-184

Scaling Theory and Finite Systems
Pages 185-196
M.P. NIGHTINGALE

Critical Behaviour of the Two-Dimensional Potts Model with a Continuous Number of States; A Finite Size Scaling Analysis
Pages 197-257
H.W.J. BLÖTE, M.P. NIGHTINGALE

LETTER TO THE EDITOR - Finite-Size Scaling in Hamiltonian Field Theory
Pages 258-263
CJ Hamer, Michael N. Barbert

LETTER TO THE EDITOR - Directed Percolation: A Finite-Size Renormalisation Group Approach
Pages 264-269
Wolfgang Kinzel, Julia M Yeomanst

LETTER TO THE EDITOR - Phenomenological Renormalisation of the Self Avoiding Walk in Two Dimensions
Pages 270-274
B Derrida

Application of the Phenomenological Renormalization to Percolation and Lattice Animals in Dimension 2
Pages 275-283
B. Derrida, L. De Seze

LETTER TO THE EDITOR - A Transfer-Matrix Approach to Random Resistor Networks
Pages 284-291
B Derrida, J Vannimenus

LETTER TO THE EDITOR - Convergence of Finite-Size Scaling Renormalisation Techniques
Pages 292-298
Vladimir Privman, Michael E Fisher

PHYSICS LETTERS - A New Method to Compute the Spectrum of Low-Lying States in Massless Asymptotically Free Field Theories
Pages 299-302
M. LÜSCHER

Finite Size Scaling and Low Mass Glueballs
Pages 303-311
Richard C. BROWER, Michael CREUTZ, Michael NAUENBERG

Complex Zeroes of the d = 3 Ising Model: Finite-Size Scaling and Critical Amplitudes
Pages 312-323
Enzo MARINARI

3 - Introduction to Conformal Invariance and Finite-Size Scaling
Pages 325-331

LETTER TO THE EDITOR - The Relation between Amplitudes and Critical Exponents in Finite-Size Scaling
Pages 332-339
Peter Nightingale, Henk Blöte

LETTER TO THE EDITOR - Conformal Invariance and Universality in Finite-Size Scaling
Pages 340-342
John L Cardy

Conformal Invariance, the Central Charge, and Universal Finite-Size Amplitudes at Criticality
Pages 343-346
H.W.J. Blöte, John L. Cardy, M.P. Nightingale

Universal Term in the Free Energy at a Critical Point and the Conformal Anomaly
Pages 347-349
Ian Affleck

LETTER TO THE EDITOR - Conformal Invariance and the Phase Transition of a Spin Chain with Three-Spin Interaction
Pages 350-355
M Kolb, KA Penson

Conformal Invariance and the Spectrum of the XXZ Chain
Pages 356-359
Francisco C. Alcaraz, Michael N. Barber, Murray T. Batchelor

LETTER TO THE EDITOR - Finite-Size Scaling in Strips: Antiperiodic Boundary Conditions
Pages 360-363
John L Cardy

LETTER TO THE EDITOR - Logarithmic Corrections to Finite-Size Scaling in Strips
Pages 364-369
John L Cardy

LETTER TO THE EDITOR - Universal Amplitudes in Finite-Size Scaling: Generalisation to Arbitrary Dimensionality
Pages 370-373
John L Cardy