H. E. Stanley, Introduction to Phase Transitions and Critical
Phenomena (Oxford University Press, Oxford and New York 1971).
[Citations: 3911]
Articles
H. E. Stanley and T. A. Kaplan, "Possibility of a Phase
Transition for the Two-Dimensional Heisenberg Ferromagnet," Phys.
Rev. Lett. 17, 913-916 (1966). PDF[Citations: 376]
H. E. Stanley and T. A. Kaplan, "On High-Temperature
Expansions: The Classical Heisenberg Model,"
Phys. Rev. Lett. 16, 981-983 (1966). PDF
H. E. Stanley, "New Expansion for Classical Heisenberg Model
and Similarity to S=1/2 Ising Model," Physical Review 164,
709-711 (1967). PDF
H. E. Stanley and T. A. Kaplan, "On the Possible Phase Transition in
Two-Dimensional Heisenberg Models," J. Appl. Phys. 38, 975-976
(1967). PDF
H. E. Stanley, "Spherical Model as the Limit of Infinite Spin
Dimensionality," Phys. Rev. 176, 718-721 (1968). PDF[Citations: 441]
H. E. Stanley, "Exact Solution for Linear Chain of
Isotropically-Interacting Classical Spins of Arbitrary Dimensionality,"
Physical Review 179, 570-577 (1969). PDF
H. E. Stanley, "Some Critical Properties of Quantum-Mechanical
Heisenberg Ferro- and Antiferromagnets," J. Appl. Phys.
40, 1546-1548 (1969). PDF
H. E. Stanley, "Relation among Ising, Heisenberg, and
Spherical Models: Properties of Isotropically-Interacting Spins of
Arbitrary Dimensionality," Proceedings IUPAP International Conference on
Statistical Mechanics, Kyoto, Japan, Journal of the Physical Society of
Japan 26S, 102-103 (1969).
H. E. Stanley, M. Blume, K. Matsuno, and S. Milosevic, "Eigenvalue
Degeneracy as a Possible `Mathematical Mechanism' for Phase
Transitions," J. Appl. Phys. 41, 1278-2180 (1970). PDF
M. H. Lee and H. E. Stanley, "The Spin-1/2 Heisenberg
Ferromagnet on Cubic Lattices: Analysis of Critical Properties by a
Transformation Method," Phys. Rev. B 4, 1613-1630 (1971). PDF
G. Paul and H. E. Stanley, "Universality of Critical-Point Exponents
with Respect to Lattice Anisotropy," Phys. Lett. A 37, 347-348
(1971).
S. Milosevic and H. E. Stanley, "Calculation of the Scaling
Function for the Heisenberg Model," Phys. Rev. B 5, 2526-2529
(1972). PDF
A. Hankey and H. E. Stanley, "Systematic Application of
Generalized Homogeneous Functions to Static Scaling, Dynamic Scaling and
Universality," Phys. Rev. B 6, 3515-3542 (1972). PDF[Citations: 175]
L. L. Liu and H. E. Stanley, "Some Results Concerning the
Crossover Behaviour of Quasi-2-dimensional and Quasi-One-dimensional
Systems," Phys. Rev. Lett. 29, 927-931 (1972). PDF
F. Harbus and H. E. Stanley, "Ising Model Metamagnet and
Tricritical Susceptibility Exponent,"
Phys. Rev. Lett. 29, 58-62 (1972). PDF
R. Krasnow, F. Harbus, L. L. Liu, and H. E. Stanley, "Scaling with
Respect to a parameter for the Gibbs Potential and Pair Correlation
Function of the S=1/2 Ising Model with Directional Anisotropy,"
Phys. Rev. B 7, 370-379 (1973). PDF
T. S. Chang, A. Hankey, and H. E. Stanley, "Generalized Scaling
Hypothesis in Multicomponent Systems. I. Classification of Critical
Points by Order and Scaling at Tricritical Points," Phys. Rev. B
8, 346-364 (1973). PDF
F. Harbus and H. E. Stanley, "General-R High-Temperature Series for
the Susceptibility, Second Moment, and specific Heat of the sc and fcc
Ising Models with Lattice Anisotropy," Phys. Rev. B
7, 365-370 (1973). PDF
F. Harbus and H. E. Stanley, "High-Temperature-Series Study of
Models Displaying Tricritical Behavior: I. Ferromagnetic Planes Coupled
Antiferromagnetically," Phys. Rev. B 8, 1141-1156 (1973). PDF
F. Harbus and H. E. Stanley, "High-Temperature-Series Study of
Models Displaying Tricritical Behavior: II. Nearest-Neighbor Ising
Antiferromagnet with Next-Nearest-Neighbor Ferromagnetic Interactions,"
Phys. Rev. B 8, 1156-1167 (1973). PDF
T. S. Chang and H. E. Stanley, "Renormalization Group
Verification of Scaling with Respect to the Lattice Anisotropy
Parameter," Phys. Rev. B 8, 4435-4436 (1973). PDF
T. S. Chang, G. F. Tuthill, and H. E. Stanley,
"Renormalization Group Calculations of the exponents for Critical Points
of Higher Order," Phys. Rev. B 9, 4882-4887 (1974). PDF
J. F. Nicoll, T. S. Chang, and H. E. Stanley, "An Approximate
Renormalization Group Based on the Wegner-Houghton Differential
Generator," Phys. Rev. Lett. 33, 540-543 (1974). PDF
J. F. Nicoll, T. S. Chang, and H. E. Stanley, "Global Features of
Non-Linear Renormalization Group Equations," Phys. Rev. B
12, 458-478 (1975). PDF
D. N. Lambeth and H. E. Stanley, "Models for
Quasi-Two-Dimensional Helium and Magnets," Phys. Rev. B 12,
5302-5314 (1975). PDF
G. F. Tuthill, J. F. Nicoll, and H. E. Stanley,
"Renormalization Group Calculation of the Critical Point Exponent [eta]
for a Critical Point of Arbitrary Order," Phys. Rev. B 11,
4579-4582 (1975). PDF
M. Wortis, F. Harbus, and H. E. Stanley, "Tricritical Behavior of
Ising Antiferromagnet with Next-Nearest-Neighbor Ferromagnetic
Interactions: Mean-Field-Like Tricritical Exponents," Phys. Rev. B
11, 2689-2692 (1975). PDF
J. F. Nicoll, T. S. Chang, and H. E. Stanley, "A Differential
Generator for the Free Energy and the Magnetization Equation of State,"
Phys. Lett. A 57, 7-9 (1976).
L. J. deJongh and H. E. Stanley, "Lattice-Dimensionality
Crossover Effect in Quasi-d-Dimensional Magnetic Materials,"
Phys. Rev. Lett. 36, 817-820 (1976). PDF
J. F. Nicoll, T. S. Chang, and H. E. Stanley, "Exact and
Approximate Differential Renormalization Group Generators,"
Phys. Rev. A 13, 1251-1264 (1976). PDF
S. Redner and H. E. Stanley, "Helical Order and its Onset at
the Lifshitz Point," Phys. Rev. B 16, 4901-4906 (1977). PDF
Z. V. Djordjevic, H. E. Stanley, and A. Margolina, "Site Percolation
Threshold for Honeycomb and Square Lattices," J. Phys. A 15,
L405-L412 (1982). PDF
H. E. Stanley, S. Redner, and Zhan-Ru Yang, "Site and Bond Directed
Branched Polymers for Arbitrary Dimensionality: Evidence Supporting a
Relation with the Lee-Yang Edge Singularity," J. Phys. A 15,
L569-L575 (1982). PDF
I. Majid, Z. V. Djordjevic and H. E. Stanley, "Scaling and
Correction-to-Scaling Exponents for the Three-Dimensional Linear Polymer
Problem," Phys. Rev. Lett. 51, 1282-1285 (1983). PDF
A. Margolina, Z. V. Djordjevic, D. Stauffer, and
H. E. Stanley, "Corrections to Scaling for Branched Polymers and
Gels," Phys. Rev. B 28, 1652-1654 (1983). PDF
Z. V. Djordjevic, I. Majid, H. E. Stanley, and R. J. dos Santos,
"Scaling and Correction-to-Scaling Exponents and Amplitudes for the
Correlation Length of Linear Polymers in Two Dimensions," J. Phys. A
16, L519-L524 (1983). PDF
H. E. Stanley, I. Majid, A. Margolina and A. Bunde, "Direct tests of
the Aharony-Stauffer argument," Phys. Rev. Lett. 53, 1706
(1984). PDF
P. Freche, D. Stauffer, and H. E. Stanley, "Surface Structure and
Anisotropy of Eden Clusters," J. Phys. A 18, L1163 (1985). PDF
A. Bunde, S. Havlin, H. E. Stanley, B. Trus, and G. H.
Weiss, "Diffusion in Random Structures with a Topological Bias,"
Phys. Rev. B 34, 8129-8132 (1986). PDF
P. Meakin, A. Coniglio, H. E. Stanley, and T. A. Witten, "Scaling
Properties for the Surfaces of Fractal and Non-Fractal Objects: An
Infinite Hierarchy of Critical Exponents," Phys. Rev. A 34,
3325-3340 (1986). PDF
S. Havlin, A. Bunde, Y. Glaser, and H. E. Stanley, "Diffusion with a
Topological Bias on Random Structures with a Power Law Distribution of
Dangling Ends," Phys. Rev. A: Rapid Comm. 34, 3492-3495
(1986). PDF
H. E. Stanley, D. Stauffer, J. Kertesz and H. J. Herrmann, "Dynamics
of Spreading Phenomena in Cooperative Models,"
Phys. Rev. Lett. 59, 2326-2328 (1987). PDF
A. Aharony, R. J. Birgeneau, A. Coniglio, M. A. Kastner and
H. E. Stanley, "Magnetic Phase Diagram and Magnetic Pairing in Doped
La2CuO4," Phys. Rev. Lett. 60, 1330-1333 (1988). PDF[Citations: 614]
H. E. Stanley and P. Meakin, "Multifractal Phenomena in Physics and
Chemistry," Nature 335, 405-409 (1988). PDF
P. Devillard and H. E. Stanley, "Scaling Properties of Eden Clusters
in Three and Four Dimensions," Physica A 160, 298-309 (1989).
S. V. Buldyrev, S. Havlin, J. Kertesz, H. E. Stanley, and T. Vicsek,
"Ballistic Deposition with Power Law Noise: A Variant of the Zhang
Model," Phys. Rev. A 43, 7113-7116 (1991). PDF
M. Araujo, S. Havlin, G. H. Weiss, and H. E. Stanley,
"Diffusion of Walkers with Persistent Velocities," Phys. Rev. A
43, 5207-5213 (1991). PDF
M. Araujo, S. Havlin, H. Larralde and H. E. Stanley, "Random-Force
Dominated Reaction Kinetics: Particles Moving Under Random Forces,"
Phys. Rev. Lett. 68, 1791-1794 (1992). PDF
H. Larralde, P. A. Trunfio, S. Havlin, H. E. Stanley, and
G. H. Weiss, "Number of Distinct Sites Visited by N Random Walkers,"
Phys. Rev. A 45, 7128 (1992). PDF
H. Larralde, M. Araujo, S. Havlin, and H. E. Stanley,
"Diffusion-Reaction Kinetics for A+B (static) --> C (inert) for
one-dimensional Systems with Initially-Separated Reactants,"
Phys. Rev. A: Rapid Communications 46, R6121-R6123 (1992). PDF
M. Araujo, H. Larralde, S. Havlin and H. E. Stanley, "Scaling
Anomalies in Reaction Front Dynamics," Phys. Rev. Lett. 71,
3592-3595 (1993). PDF
S. C. Glotzer, M. F. Gyure, F. Sciortino, A. Coniglio, and
H. E. Stanley, "Kinetics of Phase Separation in the Presence of
Two Disparate Energy Scales," Phys. Rev. Lett. 70, 3275-3278
(1993). PDF
S. C. Glotzer, M. F. Gyure, F. Sciortino, A. Coniglio and
H. E. Stanley, "Pinning in Phase-Separating Systems," Phys. Rev. E
49, 247-258 (1994). PDF
P. Ossadnik, M. F. Gyure, H. E. Stanley, and S. C. Glotzer,
"Molecular Dynamics Simulation of Spinodal Decomposition in a
Two-Dimensional Binary Fluid Mixture," Phys. Rev. Lett. 72,
2498-2501 (1994). PDF
L. A. N. Amaral, A.-L. Barabasi, S. V. Buldyrev, S. Havlin, and
H. E. Stanley, "A New Exponent Characterizing the Effect of Evaporation
on Imbibition Experiments," Phys. Rev. Lett. 72, 641-644
(1994). PDF
R. Cuerno, H. A. Makse, S. Tomassone, S. T. Harrington, and
H. E. Stanley, "Stochastic Model for Surface Erosion via Ion-Sputtering:
Dynamical Evolution from Ripple Morphology to Rough Morphology,"
Phys. Rev. Lett. 75, 4464-4467 (1995). PDF
S. Zapperi, K. B. Lauritsen, and H. E. Stanley, "Self-Organized
Branching Processes: A Mean-Field Theory for Avalanches,"
Phys. Rev. Lett. 75, 4071-4074 (1995). PDF
L. A. N. Amaral, A.-L. Barabasi, H. A. Makse, and H. E. Stanley,
"Scaling Properties of Driven Interfaces in Disordered Media,"
Phys. Rev. E 52, 4087-4104 (1995). PDF
V. K. Horvath and H. E. Stanley, "Temporal Scaling of Interfaces
Propagating in Porous Media," Phys. Rev. E 52, 5166-5170
(1995). PDF
M. F. Gyure, S. T. Harrington, R. Strilka, and H. E. Stanley,
"Scaling in Late Stage Spinodal Decomposition with Quenched Disorder,"
Phys. Rev. E 52, 4632-4639 (1995). PDF
H. E. Stanley, "Phase Transitions: Power Laws and Universality,"
Nature 378, 554 (1995). PDF
H. Makse, S. Havlin, M. Schwartz, and H. E. Stanley, "Method for
Generating Long-Range Correlations for Large Systems," Phys. Rev. E
53, 5445-5449 (1996). PDF[Citations: 254]
S. Zapperi, P. Ray, H. E. Stanley and A. Vespignani, "First-Order
Transition in the Breakdown of Disordered Media,"
Phys. Rev. Lett. 78, 1408-1411 (1997). PDF
G. M. Viswanathan, C.-K. Peng, H. E. Stanley, and A. L. Goldberger,
"Deviations from Uniform Power Law Scaling in Nonstationary Time
Series," Phys. Rev E 55, 845-849 (1997). PDF
S. Zapperi, A. Vespignani, and H. E. Stanley, "Avalanche Dynamics in
Microfracturing Processes," Nature 388, 658-660 (1997). PDF
A. Chessa, H. E. Stanley, A. Vespignani, and S. Zapperi,
"Universality in Sandpiles," Phys. Rev. E 59, R12-R15 (1999). PDF
S. Zapperi, P. Ray, H. E. Stanley, and A. Vespignani, "Reply
to Comment on 'First Order Transition in the Breakdown of Disordered
Media'," Phys. Rev. Lett. 83, 1484-1484 (1999).
PDF
S. Zapperi, P. Ray, H. E. Stanley, and A. Vespignani, "Avalanches in
Breakdown and Fracture Processes," Phys. Rev. E
59, 5049-5057 (1999). PDF
H. E. Stanley, "Scaling, Universality, and Renormalization:
Three Pillars of Modern Critical Phenomena," Rev. Mod. Phys. 71,
S358-S366 [also cited as 358-366] (1999). PDF[Citations: 260]