Publications: Peter J. Reynolds

[1] Thermally Driven Phase Transitions Near the Percolation Threshold in Two Dimensions, H. E. Stanley, R. J. Birgeneau, P. J. Reynolds, and J. F. Nicoll, J. Phys. C 9, L553 (1976).

[2] A Real-Space Renormalization Group for Site and Bond Percolation, P. J. Reynolds, W. Klein, and H. E. Stanley, J. Phys. C 10, L167 (1977).

[3] Ghost Fields, Pair-Connectedness, and Scaling: Exact results in one-dimensional percolation, P. J. Reynolds, H. E. Stanley, and W. Klein, J. Phys. A 10, L203 (1977).

[4] Exact Solution of the One-Dimensional Percolation Problem with Further Neighbor Bonds, W. Klein, H. E. Stanley, S. Redner, and P. J. Reynolds, J. Phys. A 11, L17 (1978).

[5] Percolation by Position-Space Renormalization Group with Large Cells, P. J. Reynolds, H. E. Stanley, and W. Klein, J. Phys. A 11, L199 (1978).

[6] Renormalization Group Approach to the Percolation Properties of the Triangular Ising Model, W. Klein, H. E. Stanley, P. J. Reynolds, and A. Coniglio, Phys. Rev. Lett. 41, 1145 (1978).

[7] Site-Bond Percolation by Position-Space Renormalization Group, H. Nakanishi and P. J. Reynolds, Phys. Lett. 71A, 252 (1979).

[8] Large Cell Renormalization Group for the Backbone Problem in Percolation, G. Shlifer, W. Klein, P. J. Reynolds, and H. E. Stanley, J. Phys. A 12, L169 (1979).

[9] Site-Bond Percolation: A low density series study of the uncorrelated limit, P. Agrawal, S. Redner, P. J. Reynolds, and H. E. Stanley, J. Phys. A 12, 2073 (1979).

[10] A Large Cell Monte Carlo Renormalization Group for Percolation, P. J. Reynolds, H. E. Stanley, and W. Klein, Phys. Rev. B 21, 1223 (1980).

[11] Critical Phenomena: Past, present, and 'future', H. E. Stanley, A. Coniglio, W. Klein, H. Nakanishi, S. Redner, P. J. Reynolds, and G. Shlifer, in Synergetics, H. Haken, ed. (Springer-Verlag, Berlin, 1980).

[12] Universality of 'Four-Coordinated' Correlated Percolation and Random Percolation, A. E. Gonzalez and P. J. Reynolds, Phys. Lett. 80A, 357 (1980).

[13] Anisotropic Bond Percolation by Position-Space Renormalization Group, H. Nakanishi, P. J. Reynolds, and S. Redner, J. Phys. A 14, 855 (1981).

[14] Single-Scaling-Field Approach for an Isolated Polymer Chain, S. Redner and P. J. Reynolds, J. Phys. A 14, L55 (1981).

[15] Position-Space Renormalization Group for Isolated Polymer Chains, S. Redner and P. J. Reynolds, J. Phys. A 14, 2679 (1981).

[16] Radius of Clusters at the Percolation Threshold: A position-space renormalization group study, F. Family and P. J. Reynolds, Z. fur Phys. B 45, 123 (1981).

[17] Stochastic Calculation of Interaction Energies, B. J. Alder, D. M. Ceperley, and P. J. Reynolds, J. Phys. Chem. 86, 1200 (1982).

[18] Position-Space Renormalization Group for Models of Linear Polymers, Branched Polymers and Gels, H. E. Stanley, P. J. Reynolds, S. Redner, and F. Family, in Topics in Current Physics, Vol. 30, Real-Space Renormalization, T. W. Burkhardt and J. M. J. van Leeuwen, eds., Chapter 7, (Springer-Verlag, Berlin, 1982).

[19] Fixed-Node Quantum Monte Carlo for Molecules, P. J. Reynolds, D. M. Ceperley, B. J. Alder, and W. A. Lester, Jr., J. Chem. Phys. 77, 5593 (1982).

[20] Chemical Applications of Diffusion Quantum Monte Carlo, P. J. Reynolds and W. A. Lester, Jr., in Cyber 200 Applications Seminar, NASA Conference Publication 2295 (1983).

[21] Quantum Monte Carlo Study of the Classical Barrier Height for the H + H2 Exchange Reaction: Restricted versus unrestricted trial functions, P. J. Reynolds, R. N. Barnett, and W. A. Lester, Jr., Int. J. Quant. Chem., Quantum Chem. Symp. 18, 709 (1984).

[22] Critical Phenomena: Past, present, and 'future', H. E. Stanley, A. Coniglio, W. Klein, H. Nakanishi, S. Redner, P. J. Reynolds, and G. Shlifer, in Synergetics, (Russian translation volume), pp. 41-63, (MIR, Moscow, 1984).

[23] Achieving Chemical Accuracy by Quantum Monte Carlo, W. A. Lester, Jr. and P. J. Reynolds, Chem Prop Info Agency Publication 406, page 151 (1984).

[24] Quantum Monte Carlo Calculation of the Singlet-Triplet Splitting in Methylene, P. J. Reynolds, M. Dupuis, and W. A. Lester, Jr., J. Chem. Phys. 82, 1983 (1985).

[25] H + H2 Reaction Barrier: A fixed-node quantum Monte Carlo study, R. N. Barnett, P. J. Reynolds, and W. A. Lester, Jr., J. Chem. Phys. 82, 2700 (1985).

[26] Quantum Chemistry by Quantum Monte Carlo: Beyond ground-state energy calculations, P. J. Reynolds, R. N. Barnett, B. L. Hammond, R. M. Grimes, and W. A. Lester, Jr., Int. J. Quant. Chem. 29, 589 (1986).

[27] Vector and Parallel Computers for Quantum Monte Carlo Computations, P. J. Reynolds, S. Alexander, D. Logan, and W. A. Lester, Jr., in Lecture Notes in Chemistry, Vol. 44, Supercomputer Simulations in Chemistry, M. Dupuis, ed., Chapter 13, (Springer-Verlag, Berlin, 1986).

[28] Exact Monte Carlo for Molecules, W. A. Lester, Jr. and P. J. Reynolds, in Contributions in Mathematics and Natural Sciences, H. W. Jones and C. E. Subrahmanyam, eds., p. 69 (Florida A & M University Foundation, Tallahassee, 1986).

[29] Molecular Physics and Chemistry Applications of Quantum Monte Carlo, P. J. Reynolds, R. N. Barnett, B. L. Hammond, and W. A. Lester, Jr., J. Stat. Phys. 43, 1017 (1986).

[30] Electron Affinity of Fluorine: A quantum Monte Carlo study, R. N. Barnett, P. J. Reynolds, and W. A. Lester, Jr., J. Chem. Phys. 84, 4992 (1986).

[31] Quantum Monte Carlo for Molecules, P. J. Reynolds and W. A. Lester, Jr., in Physics News in 1985, Phys. Today 39, S-14, 1986.

[32] Quantum Monte Carlo Approach to Electronically Excited Molecules, R. M. Grimes, B. L. Hammond, P. J. Reynolds, and W. A. Lester, Jr., J. Chem. Phys. 85, 4749 (1986).

[33] Is Quantum Monte Carlo Competitive? Lithium hydride test case, R. N. Barnett, P. J. Reynolds, and W. A. Lester, Jr., J. Phys. Chem. 91, 2004 (1987).

[34] Valence Quantum Monte Carlo with ab initio Effective Core Potentials, B. L. Hammond, P. J. Reynolds, and W. A. Lester, Jr., J. Chem. Phys. 87, 1130 (1987).

[35] Is There a Zeroth Order Time-Step Error in Diffusion Quantum Monte Carlo? P. J. Reynolds, R. K. Owen, and W. A. Lester, Jr., J. Chem. Phys. 87, 1905 (1987).

[36] Damped-core Quantum Monte Carlo: An effective treatment for large-Z systems, B. L. Hammond, P. J. Reynolds, and W. A. Lester, Jr., Phys. Rev. Lett. 61, 2312 (1988).

[37] Monte Carlo Study of Electron Correlation Functions for Small Molecules, Zhiwei Sun, P. J. Reynolds, R. K. Owen, and W. A. Lester, Jr., Theor. Chim. Acta 75, 353 (1989).

[38] Does Squaring the QMC Weights Give the Exact Quantum Probability Distribution? P. J. Reynolds, J. Chem. Phys. 92, 2118 (1990).

[39] Comment on: 'Reliable Diffusion Quantum Monte Carlo’, R. N. Barnett, W. A. Lester, Jr., and P. J. Reynolds, LBL report (1990).

[40] Green's Function Monte Carlo: From Statistical Mechanics to Quantum Mechanics and Back, P. J. Reynolds, in Computational Physics and Cellular Automata, A. Pires, D. P. Landau, and H. J. Herrmann, eds. p.144 (World Scientific, Singapore, 1990)

[41] Accelerated Green's Function Monte Carlo: Avoiding Critical Slowing Down in Simulations Containing Large-Z Atoms, G. G. Batrouni and P. J. Reynolds, LLNL report (1990).

[42] Overcoming the Large-Z Problem in Quantum Monte Carlo, P. J. Reynolds, Int. J. Quant. Chem.: Quant. Chem. Symp. 24, 679 (1990).

[43] Diffusion Quantum Monte Carlo, P. J. Reynolds, J. Tobochnik, and H. Gould, Computers in Physics 4, 662 (1990).

[44] Monte Carlo Algorithms for Expectation Values of Coordinate Operators, R. N. Barnett, P. J. Reynolds, and W. A. Lester, Jr., J. Comp. Phys. 96, 258 (1991).

[45] Computation of Transition Dipole Moments by Monte Carlo, R. N. Barnett, P. J. Reynolds, and W. A. Lester, Jr., J. Chem. Phys. 96, 2141 (1992).

[46] Monte Carlo Determination of the Oscillator Strength and Excited State Lifetime for the Li 2 2S -> 2 2P Transition, R. N. Barnett, P. J. Reynolds, and W. A. Lester, Jr., Int. J. Quant. Chem., 42, 837 (1992).

[47] Special Issue on Quantum Chaos, P. J. Reynolds, guest editor, J. Stat. Phys. 68 (1992).

[48] What is Quantum Chaos? Joel L. Lebowitz and Peter J. Reynolds, J. Stat. Phys. 68, 1 (1992).

[49] Laser Cooling Atoms to Ultra-Low Temperatures in a Magnetic Field, H. Metcalf and P. J. Reynolds, Naval Research Reviews 44 (2), 13 (1992).

[50] On Clusters and Clustering: From Atoms to Fractals, P. J. Reynolds, editor (Elsevier, Amsterdam, 1993).

[51] Monte Carlo Methods in Ab Initio Quantum Chemistry, B. L. Hammond, W. A. Lester, Jr., and P. J. Reynolds (World Scientific, Singapore, 1994).

[52] Recent Progress in QMC Simulations of Systems with Multiple Time Scales: Hybrid Nonadiabatic QMC, D. Bressanini and P. J. Reynolds, in Recent Advances in Quantum Monte Carlo Methods, W. A. Lester, Jr., ed. (World Scientific, Singapore, 1996).

[53] Between Classical and Quantum Monte Carlo Methods: "Variational" QMC, D. Bressanini and P. J. Reynolds, in Advances in Chemical Physics, Vol. 105 (John Wiley and Sons, New York, 1999). PostScript paper

[54] Spatial-partitioning-based Acceleration for Variational Monte Carlo, D. Bressanini and P. J. Reynolds, J. Chem. Phys.111, 6180 (1999). PostScript paper

[55] What Do We Know About Wave Function Nodes? D. Bressanini, D. M. Ceperley, and P. J. Reynolds, in Recent Progress in QMC (World Scientific, Singapore, 2001) to be published.