Phase Transitions and Critical Phenomena
The Center for Polymer Studies at Boston University

[Citation counts listed when above 100.]



Books



Articles

  1. 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]
  2. H. E. Stanley and T. A. Kaplan, "On High-Temperature Expansions: The Classical Heisenberg Model," Phys. Rev. Lett. 16, 981-983 (1966). PDF
  3. H. E. Stanley, "New Expansion for Classical Heisenberg Model and Similarity to S=1/2 Ising Model," Physical Review 164, 709-711 (1967). PDF
  4. 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
  5. H. E. Stanley, "Spherical Model as the Limit of Infinite Spin Dimensionality," Phys. Rev. 176, 718-721 (1968). PDF [Citations: 441]
  6. H. E. Stanley, "Exact Solution for Linear Chain of Isotropically-Interacting Classical Spins of Arbitrary Dimensionality," Physical Review 179, 570-577 (1969). PDF
  7. H. E. Stanley, "Some Critical Properties of Quantum-Mechanical Heisenberg Ferro- and Antiferromagnets," J. Appl. Phys. 40, 1546-1548 (1969). PDF
  8. 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).
  9. 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
  10. 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
  11. G. Paul and H. E. Stanley, "Universality of Critical-Point Exponents with Respect to Lattice Anisotropy," Phys. Lett. A 37, 347-348 (1971).
  12. S. Milosevic and H. E. Stanley, "Calculation of the Scaling Function for the Heisenberg Model," Phys. Rev. B 5, 2526-2529 (1972). PDF
  13. 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]
  14. 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
  15. F. Harbus and H. E. Stanley, "Ising Model Metamagnet and Tricritical Susceptibility Exponent," Phys. Rev. Lett. 29, 58-62 (1972). PDF
  16. 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
  17. 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
  18. 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
  19. 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
  20. 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
  21. 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
  22. 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
  23. 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
  24. 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
  25. D. N. Lambeth and H. E. Stanley, "Models for Quasi-Two-Dimensional Helium and Magnets," Phys. Rev. B 12, 5302-5314 (1975). PDF
  26. 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
  27. 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
  28. 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).
  29. 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
  30. 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
  31. S. Redner and H. E. Stanley, "Helical Order and its Onset at the Lifshitz Point," Phys. Rev. B 16, 4901-4906 (1977). PDF
  32. 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
  33. 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
  34. 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
  35. 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
  36. 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
  37. H. E. Stanley, I. Majid, A. Margolina and A. Bunde, "Direct tests of the Aharony-Stauffer argument," Phys. Rev. Lett. 53, 1706 (1984). PDF
  38. P. Freche, D. Stauffer, and H. E. Stanley, "Surface Structure and Anisotropy of Eden Clusters," J. Phys. A 18, L1163 (1985). PDF
  39. 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
  40. 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
  41. 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
  42. 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
  43. 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]
  44. H. E. Stanley and P. Meakin, "Multifractal Phenomena in Physics and Chemistry," Nature 335, 405-409 (1988). PDF
  45. P. Devillard and H. E. Stanley, "Scaling Properties of Eden Clusters in Three and Four Dimensions," Physica A 160, 298-309 (1989).
  46. 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
  47. 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
  48. 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
  49. 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
  50. 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
  51. M. Araujo, H. Larralde, S. Havlin and H. E. Stanley, "Scaling Anomalies in Reaction Front Dynamics," Phys. Rev. Lett. 71, 3592-3595 (1993). PDF
  52. 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
  53. 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
  54. 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
  55. 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
  56. 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
  57. 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
  58. 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
  59. V. K. Horvath and H. E. Stanley, "Temporal Scaling of Interfaces Propagating in Porous Media," Phys. Rev. E 52, 5166-5170 (1995). PDF
  60. 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
  61. H. E. Stanley, "Phase Transitions: Power Laws and Universality," Nature 378, 554 (1995). PDF
  62. 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]
  63. 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
  64. 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
  65. S. Zapperi, A. Vespignani, and H. E. Stanley, "Avalanche Dynamics in Microfracturing Processes," Nature 388, 658-660 (1997). PDF
  66. A. Chessa, H. E. Stanley, A. Vespignani, and S. Zapperi, "Universality in Sandpiles," Phys. Rev. E 59, R12-R15 (1999). PDF
  67. 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
  68. S. Zapperi, P. Ray, H. E. Stanley, and A. Vespignani, "Avalanches in Breakdown and Fracture Processes," Phys. Rev. E 59, 5049-5057 (1999). PDF
  69. 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]