Robert M. Ziff

Personal Home Page

http://www.engin.umich.edu/dept/cheme/people/ziffres.html

Articles in Scholarly Journals [Incomplete List]

  1. Critical Surfaces for General Bond Percolation Problems
    Physical Review Letters, vol. 100, no. 18, 2008
  2. Exact factorization of correlation functions in two-dimensional critical percolation
    Physical Review E, vol. 76, no. 4, 2007
  3. Asymmetry in the percolation thresholds of fully penetrable disks with two different radii
    Physical Review E, vol. 76, no. 5, 2007
  4. General flux to a trap in one and three dimensions
    Journal of Physics: Condensed Matter, vol. 19, no. 6, p. 065102, 2007
  5. The density of critical percolation clusters touching the boundaries of strips and squares
    Journal of Statistical Mechanics: Theory and Experiment, vol. 2007, no. 06, pp. P06012–P06012, 2007
  6. Percolation crossing formulae and conformal field theory
    Journal of Physics A: Mathematical and Theoretical, vol. 40, no. 31, pp. F771–F784, 2007
  7. Exact bond percolation thresholds in two dimensions
    Journal of Physics A: Mathematical and General, vol. 39, no. 49, pp. 15083–15090, 2006
  8. Generalized cell–dual-cell transformation and exact thresholds for percolation
    Physical Review E, vol. 73, no. 1, 2006
  9. Predictions of bond percolation thresholds for the kagomé and Archimedean (3,12^{2}) lattices
    Physical Review E, vol. 73, no. 4, 2006
  10. Universal amplitude ratio Î?^{â??}â??Î?^{+} for two-dimensional percolation
    Physical Review E, vol. 74, no. 2, 2006
  11. Unified Solution of the Expected Maximum of a Discrete Time Random Walk and the Discrete Flux to a Spherical Trap
    Journal of Statistical Physics, vol. 122, no. 5, pp. 833–856, 2006
  12. A Stochastic Model for Wound Healing
    Journal of Statistical Physics, vol. 122, no. 5, pp. 909–924, 2006
  13. Anchored Critical Percolation Clusters and 2D Electrostatics
    Physical Review Letters, vol. 97, no. 11, 2006
  14. Response of a catalytic reaction to periodic variation of the CO pressure: Increased CO_{2} production and dynamic phase transition
    Physical Review E, vol. 71, no. 1, 2005
  15. Simple algorithm to test for linking to Wilson loops in percolation
    Physical Review E, vol. 72, no. 1, 2005
  16. Nano Letters, vol. 4, no. 8, pp. 1501–1506, 2004
  17. Effect of Monomer Geometry on the Fractal Structure of Colloidal Rod Aggregates
    Physical Review Letters, vol. 92, no. 15, 2004
  18. Journal of Statistical Physics, vol. 110, no. 1/2, pp. 1–33, 2003
  19. The effects of surface defects in a catalysis model
    Surface Science, vol. 517, no. 1-3, pp. 75–86, 2002
  20. Percolation and epidemics in a two-dimensional small world
    Physical Review E, vol. 65, no. 2, 2002
  21. Convergence of threshold estimates for two-dimensional percolation
    Physical Review E, vol. 66, no. 1, 2002
  22. Excess number of percolation clusters on the surface of a sphere
    Physica A: Statistical Mechanics and its Applications, vol. 296, no. 1-2, pp. 1–8, 2001
  23. Precise determination of the critical percolation threshold for the three-dimensional “Swiss cheese” model using a growth algorithm
    The Journal of Chemical Physics, vol. 114, no. 8, p. 3659, 2001
  24. Journal of Statistical Physics, vol. 98, no. 3/4, pp. 961–970, 2000
  25. Journal of Physics A: Mathematical and General, vol. 33, no. 42, pp. L399–L407, 2000
  26. International Journal of Modern Physics C [Computational Physics and Physical Computation], vol. 11, no. 1, p. 205, 2000
  27. Efficient Monte Carlo Algorithm and High-Precision Results for Percolation
    Physical Review Letters, vol. 85, no. 19, pp. 4104–4107, 2000
  28. Journal of Physics A: Mathematical and General, vol. 30, no. 15, pp. 5351–5359, 1999
  29. Journal of Physics A: Mathematical and General, vol. 31, no. 40, pp. 8147–8157, 1999
  30. Journal of Physics A: Mathematical and General, vol. 32, no. 43, pp. L457–L459, 1999
  31. Site percolation thresholds for Archimedean lattices
    Physical Review E, vol. 60, no. 1, pp. 275–283, 1999
  32. Shape-dependent universality in percolation
    Physica A: Statistical and Theoretical Physics, vol. 266, no. 1-4, pp. 17–26, 1999
  33. Site percolation on the Penrose rhomb lattice
    Physica A: Statistical Mechanics and its Applications, vol. 269, no. 2-4, pp. 201–210, 1999
  34. On the scaling theory of two-component aggregation
    Chemical Engineering Science, vol. 53, no. 9, pp. 1725–1729, 1998
  35. Precise determination of the bond percolation thresholds and finite-size scaling corrections for the sc, fcc, and bcc lattices
    Physical Review E, vol. 57, no. 1, pp. 230–236, 1998
  36. Exact results at the two-dimensional percolation point
    Physical Review B, vol. 57, no. 14, pp. R8075–R8078, 1998
  37. Epidemic analysis of the second-order transition in the Ziff-Gulari-Barshad surface-reaction model
    Physical Review E, vol. 56, no. 6, pp. R6241–R6244, 1997
  38. Dynamic behavior of the monomer–monomer surface reaction model with adsorbate interactions
    The Journal of Chemical Physics, vol. 107, no. 18, p. 7397, 1997
  39. Critical point and coexistence curve for a flexible, simple point-charge water model
    The Journal of Supercritical Fluids, vol. 10, no. 2, pp. 119–125, 1997
  40. Fugacity coefficients for free radicals in dense fluids: HO2 in supercritical water
    AIChE Journal, vol. 43, no. 5, pp. 1287–1299, 1997
  41. Universality of Finite-Size Corrections to the Number of Critical Percolation Clusters
    Physical Review Letters, vol. 79, no. 18, pp. 3447–3450, 1997
  42. Comparison of rigid and flexible simple point charge water models at supercritical conditions
    Journal of Computational Chemistry, vol. 17, no. 15, pp. 1757–1770, 1996
  43. The Journal of Physical Chemistry, vol. 100, no. 1, pp. 403–408, 1996
  44. Effective boundary extrapolation length to account for finite-size effects in the percolation crossing function
    Physical Review E, vol. 54, no. 3, pp. 2547–2554, 1996
  45. Journal of Physics A: Mathematical and General, vol. 28, no. 22, pp. 6479–6480, 1995
  46. Journal of Physics A: Mathematical and General, vol. 28, no. 5, pp. 1249–1255, 1995
  47. Journal of Physics A: Mathematical and General, vol. 27, no. 18, pp. L657–L662, 1994
  48. Journal of Physical Chemistry, vol. 98, no. 49, pp. 13067–13076, 1994
  49. Ziff replies
    Physical Review Letters, vol. 72, no. 12, pp. 1942–1942, 1994
  50. Boundary effects in a surface reaction model for CO oxidation
    The Journal of Chemical Physics, vol. 98, no. 1, p. 674, 1993
  51. Journal of Physics A: Mathematical and General, vol. 25, no. 9, pp. 2569–2576, 1992
  52. Effects of A desorption on the first-order transition in the A-B_{2} reaction model
    Physical Review A, vol. 46, no. 8, pp. 4534–4538, 1992
  53. Investigation of the first-order phase transition in the A-B_{2} reaction model using a constant-coverage kinetic ensemble
    Physical Review A, vol. 46, no. 8, pp. 4630–4633, 1992
  54. Spanning probability in 2D percolation
    Physical Review Letters, vol. 69, no. 18, pp. 2670–2673, 1992
  55. New solutions to the fragmentation equation
    Journal of Physics A: Mathematical and General, vol. 24, no. 12, pp. 2821–2828, 1991
  56. Journal of Physics A: Mathematical and General, vol. 24, no. 15, pp. 3727–3730, 1991
  57. Random sequential adsorption of parallel squares
    Physical Review A, vol. 43, no. 2, pp. 631–638, 1991
  58. Lorentz lattice-gas and kinetic-walk model
    Physical Review A, vol. 44, no. 4, pp. 2410–2428, 1991
  59. Flux to a trap
    Journal of Statistical Physics, vol. 65, no. 5-6, pp. 1217–1233, 1991
  60. Monte Carlo simulation of the adsorption of co on pt(111): thermodynamic considerations for the surface configuration of adsorbed species
    Surface Science, vol. 243, no. 1-3, pp. 273–294, 1991
  61. Kinetics of random sequential adsorption of rectangles and line segments
    The Journal of Chemical Physics, vol. 93, no. 11, p. 8270, 1990
  62. Journal of Physics A: Mathematical and General, vol. 23, no. 21, pp. 5103–5108, 1990
  63. Random sequential adsorption of unoriented rectangles onto a plane
    The Journal of Chemical Physics, vol. 91, no. 4, p. 2599, 1989
  64. Self-sustained oscillations in a heterrogeneous catalytic reaction: a monte carlo simulation
    Chemical Engineering Science, vol. 44, no. 6, pp. 1403–1411, 1989
  65. New universality class for gelation in a system with particle breakup
    Physical Review B, vol. 38, no. 1, pp. 942–945, 1988
  66. Comment on "Cluster-Size Evolution in a Coagulation-Fragmentation System"
    Physical Review Letters, vol. 61, no. 12, pp. 1431–1431, 1988
  67. ‘‘Shattering’’ transition in fragmentation
    Physical Review Letters, vol. 58, no. 9, pp. 892–895, 1987
  68. Kinetic Phase Transitions in an Irreversible Surface-Reaction Model
    Physical Review Letters, vol. 56, no. 24, pp. 2553–2556, 1986
  69. Test of scaling exponents for percolation-cluster perimeters
    Physical Review Letters, vol. 56, no. 6, pp. 545–548, 1986
  70. Fractal clustering of reactants on a catalyst surface
    Physical Review B, vol. 34, no. 3, pp. 2038–2040, 1986
  71. Macromolecules, vol. 19, no. 10, pp. 2513–2519, 1986
  72. Journal of Physics A: Mathematical and General, vol. 19, no. 18, pp. L1169–L1172, 1986
  73. Journal of Physics A: Mathematical and General, vol. 19, no. 18, pp. 3923–3924, 1986
  74. Journal of Physics A: Mathematical and General, vol. 18, no. 15, pp. 3027–3037, 1985
  75. On the validity of Smoluchowski’s equation for cluster–cluster aggregation kinetics
    The Journal of Chemical Physics, vol. 82, no. 11, p. 5269, 1985
  76. Journal of Physics A: Mathematical and General, vol. 17, no. 15, pp. 3009–3017, 1984
  77. Journal of Physics A: Mathematical and General, vol. 16, no. 10, pp. 2293–2320, 1983
  78. Coagulation equations with gelation
    Journal of Statistical Physics, vol. 31, no. 3, pp. 519–563, 1983
  79. Journal of Physics A: Mathematical and General, vol. 15, no. 12, pp. L743–L747, 1982
  80. Critical Properties for Gelation: A Kinetic Approach
    Physical Review Letters, vol. 49, no. 8, pp. 593–595, 1982
  81. Approach to Equilibrium of a Boltzmann-Equation Solution
    Physical Review Letters, vol. 47, no. 21, pp. 1493–1496, 1981
  82. Model Boltzmann equations
    Physical Review A, vol. 23, no. 2, pp. 916–923, 1981
  83. Model Boltzmann equations. II. The Maxwellian molecule
    Physical Review A, vol. 24, no. 1, pp. 509–513, 1981
  84. The virial series of the ideal Bose gas
    Journal of Mathematical Physics, vol. 21, no. 1, p. 161, 1980
  85. Kinetics of polymer gelation
    The Journal of Chemical Physics, vol. 73, no. 7, p. 3492, 1980
  86. Kinetics of polymerization
    Journal of Statistical Physics, vol. 23, no. 2, pp. 241–263, 1980
  87. New Class of Soluble-Model Boltzmann Equations
    Physical Review Letters, vol. 45, no. 5, pp. 306–310, 1980
  88. Vortex patterns and energies in a rotating superfluid
    Physical Review B, vol. 20, no. 5, pp. 1886–1902, 1979
  89. On the bulk distribution functions and fluctuation theorems
    Journal of Mathematical Physics, vol. 18, no. 9, p. 1825, 1977