151
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Marko JF. Cluster scaling geometry in critical spin systems. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 45:5023-5026. [PMID: 10002148 DOI: 10.1103/physrevb.45.5023] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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152
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Critical exponents for site-bond-correlated percolation. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 45:1023-1026. [PMID: 10001147 DOI: 10.1103/physrevb.45.1023] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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153
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Oxaal U. Fractal viscous fingering in inhomogeneous porous models. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1991; 44:5038-5051. [PMID: 9906555 DOI: 10.1103/physreva.44.5038] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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154
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Münger EP, Novotny MA. Momentum-space Monte Carlo renormalization-group procedure. PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 44:4314-4325. [PMID: 10000080 DOI: 10.1103/physrevb.44.4314] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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155
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Devaty RP. Scaling theory applied to far-infrared absorption by metal-insulator composite materials. PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 44:593-596. [PMID: 9999158 DOI: 10.1103/physrevb.44.593] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Klein L, Adler J, Aharony A, Harris AB, Meir Y. Series expansions for the Ising spin glass in general dimension. PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 43:11249-11273. [PMID: 9996862 DOI: 10.1103/physrevb.43.11249] [Citation(s) in RCA: 34] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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157
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Octavio M, Lobb CJ. Nonuniversality in two-dimensional percolating systems with a broad distribution of bond conductances. PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 43:8233-8237. [PMID: 9996450 DOI: 10.1103/physrevb.43.8233] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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158
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Leung PW, Henley CL. Percolation properties of the Wolff clusters in planar triangular spin models. PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 43:752-759. [PMID: 9996268 DOI: 10.1103/physrevb.43.752] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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159
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Pietronero L, Schneider WR, Stella AL. Percolation and invasion percolation as fractal growth problems. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1990; 42:7496-7499. [PMID: 9904070 DOI: 10.1103/physreva.42.7496] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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160
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Branco NS. Heisenberg and Ising spins in three dimensions with site-bond-correlated dilution. PHYSICAL REVIEW. B, CONDENSED MATTER 1990; 42:458-464. [PMID: 9994562 DOI: 10.1103/physrevb.42.458] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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161
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Lee SB, Torquato S. Monte Carlo study of correlated continuum percolation: Universality and percolation thresholds. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1990; 41:5338-5344. [PMID: 9902920 DOI: 10.1103/physreva.41.5338] [Citation(s) in RCA: 30] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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162
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Adler J, Meir Y, Aharony A, Harris AB. Series study of percolation moments in general dimension. PHYSICAL REVIEW. B, CONDENSED MATTER 1990; 41:9183-9206. [PMID: 9993262 DOI: 10.1103/physrevb.41.9183] [Citation(s) in RCA: 79] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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163
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Meir Y, Harris AB. Self-avoiding walks on diluted networks. PHYSICAL REVIEW LETTERS 1989; 63:2819-2822. [PMID: 10041001 DOI: 10.1103/physrevlett.63.2819] [Citation(s) in RCA: 22] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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165
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Li XJ, Sokal AD. Rigorous lower bound on the dynamic critical exponents of the Swendsen-Wang algorithm. PHYSICAL REVIEW LETTERS 1989; 63:827-830. [PMID: 10041195 DOI: 10.1103/physrevlett.63.827] [Citation(s) in RCA: 39] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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166
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Pfnür H, Piercy P. Critical behavior of p(2 x 2) oxygen on Ru(001): An example of four-state Potts critical exponents. PHYSICAL REVIEW. B, CONDENSED MATTER 1989; 40:2515-2522. [PMID: 9992139 DOI: 10.1103/physrevb.40.2515] [Citation(s) in RCA: 35] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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167
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Iglói F. Quantum hard rods: Critical behavior and conformal invariance. PHYSICAL REVIEW. B, CONDENSED MATTER 1989; 40:2362-2367. [PMID: 9992120 DOI: 10.1103/physrevb.40.2362] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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168
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Yonezawa F, Sakamoto S, Hori M. Percolation in two-dimensional lattices. I. A technique for the estimation of thresholds. PHYSICAL REVIEW. B, CONDENSED MATTER 1989; 40:636-649. [PMID: 9990953 DOI: 10.1103/physrevb.40.636] [Citation(s) in RCA: 99] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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169
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Yonezawa F, Sakamoto S, Hori M. Percolation in two-dimensional lattices. II. The extent of universality. PHYSICAL REVIEW. B, CONDENSED MATTER 1989; 40:650-660. [PMID: 9990954 DOI: 10.1103/physrevb.40.650] [Citation(s) in RCA: 40] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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170
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Tzschichholz F, Bunde A, Havlin S. Loopless percolation clusters. PHYSICAL REVIEW. A, GENERAL PHYSICS 1989; 39:5470-5473. [PMID: 9901123 DOI: 10.1103/physreva.39.5470] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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171
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Rabedeau TA. Spreading pressure study of the commensurate solid to domain-wall fluid transition of monolayer 4He on graphite. PHYSICAL REVIEW. B, CONDENSED MATTER 1989; 39:9643-9645. [PMID: 9947715 DOI: 10.1103/physrevb.39.9643] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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172
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Wilson WG, Vause CA. Ferromagnetic q=4,5 Potts models on the two-dimensional Penrose and square lattices. PHYSICAL REVIEW. B, CONDENSED MATTER 1989; 39:4651-4658. [PMID: 9948819 DOI: 10.1103/physrevb.39.4651] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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173
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Wilson WG, Vause CA. q=5 Potts model on the quenched anisotropically site-diluted Penrose lattice. PHYSICAL REVIEW. B, CONDENSED MATTER 1989; 39:689-693. [PMID: 9947203 DOI: 10.1103/physrevb.39.689] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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174
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Meir Y, Aharony A, Harris AB. Percolation in negative field and lattice animals. PHYSICAL REVIEW. B, CONDENSED MATTER 1989; 39:649-656. [PMID: 9947198 DOI: 10.1103/physrevb.39.649] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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175
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Challa MS, Hetherington JH. Gaussian ensemble: An alternate Monte Carlo scheme. PHYSICAL REVIEW. A, GENERAL PHYSICS 1988; 38:6324-6337. [PMID: 9900391 DOI: 10.1103/physreva.38.6324] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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176
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Hu CK, Chen CN. Percolation renormalization-group approach to the q-state Potts model. PHYSICAL REVIEW. B, CONDENSED MATTER 1988; 38:2765-2778. [PMID: 9946589 DOI: 10.1103/physrevb.38.2765] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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John S, Lubensky TC, Wang J. Diamagnetism of percolative granular superconductors and diluted Josephson arrays. PHYSICAL REVIEW. B, CONDENSED MATTER 1988; 38:2533-2542. [PMID: 9946563 DOI: 10.1103/physrevb.38.2533] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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178
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Branco NS. Ising model with short-range correlated dilution. PHYSICAL REVIEW. B, CONDENSED MATTER 1988; 38:946-949. [PMID: 9945301 DOI: 10.1103/physrevb.38.946] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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179
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Park H. Universal finite-size-scaling amplitudes of the Potts model on a torus. PHYSICAL REVIEW. B, CONDENSED MATTER 1988; 38:565-579. [PMID: 9945218 DOI: 10.1103/physrevb.38.565] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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180
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Blöte HW. Corrections to scaling at two-dimensional Ising transitions. PHYSICAL REVIEW. B, CONDENSED MATTER 1988; 37:1766-1778. [PMID: 9944694 DOI: 10.1103/physrevb.37.1766] [Citation(s) in RCA: 34] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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181
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Challa MS, Hetherington JH. Gaussian ensemble as an interpolating ensemble. PHYSICAL REVIEW LETTERS 1988; 60:77-80. [PMID: 10038203 DOI: 10.1103/physrevlett.60.77] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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182
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Frank DJ, Lobb CJ. Highly efficient algorithm for percolative transport studies in two dimensions. PHYSICAL REVIEW. B, CONDENSED MATTER 1988; 37:302-307. [PMID: 9943576 DOI: 10.1103/physrevb.37.302] [Citation(s) in RCA: 129] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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Harris AB, Meir Y, Aharony A. Diffusion on percolating clusters. PHYSICAL REVIEW. B, CONDENSED MATTER 1987; 36:8752-8764. [PMID: 9942700 DOI: 10.1103/physrevb.36.8752] [Citation(s) in RCA: 22] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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184
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Piercy P, Pfnür H. Experimental verification of critical exponents in the two-dimensional four-state Potts universality class: Oxygen on Ru(0001). PHYSICAL REVIEW LETTERS 1987; 59:1124-1127. [PMID: 10035146 DOI: 10.1103/physrevlett.59.1124] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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185
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Saleur H, Duplantier B. Exact determination of the percolation hull exponent in two dimensions. PHYSICAL REVIEW LETTERS 1987; 58:2325-2328. [PMID: 10034716 DOI: 10.1103/physrevlett.58.2325] [Citation(s) in RCA: 134] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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186
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Banavar JR, Bray AJ, Feng S. Critical behavior of random spin systems at the percolation threshold. PHYSICAL REVIEW LETTERS 1987; 58:1463-1466. [PMID: 10034443 DOI: 10.1103/physrevlett.58.1463] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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187
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Blumenfeld R, Meir Y, Aharony A, Harris AB. Resistance fluctuations in randomly diluted networks. PHYSICAL REVIEW. B, CONDENSED MATTER 1987; 35:3524-3535. [PMID: 9941856 DOI: 10.1103/physrevb.35.3524] [Citation(s) in RCA: 56] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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188
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Crary SB, Fahey DA. Analysis of critical-exponent data using Efron's bootstrap technique. PHYSICAL REVIEW. B, CONDENSED MATTER 1987; 35:2102-2104. [PMID: 9941655 DOI: 10.1103/physrevb.35.2102] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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189
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Alcaraz FC. Order of phase transition for systems with multispin interactions: Monte Carlo simulations. PHYSICAL REVIEW. B, CONDENSED MATTER 1986; 34:4885-4888. [PMID: 9940294 DOI: 10.1103/physrevb.34.4885] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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190
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Landau DP, Swendsen RH. Monte Carlo renormalization-group study of tricritical behavior in two dimensions. PHYSICAL REVIEW. B, CONDENSED MATTER 1986; 33:7700-7707. [PMID: 9938135 DOI: 10.1103/physrevb.33.7700] [Citation(s) in RCA: 35] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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Abstract
Random structures often exhibit fractal geometry, defined in terms of the mass scaling exponent, D, the fractal dimension. The vibrational dynamics of fractal networks are expressed in terms of the exponent d, the fracton dimensionality. The eigenstates on a fractal network are spatially localized for d less than or equal to 2. The implications of fractal geometry are discussed for thermal transport on fractal networks. The electron-fracton interaction is developed, with a brief outline given for the time dependence of the electronic relaxation on fractal networks. It is suggested that amorphous or glassy materials may exhibit fractal properties at short length scales or, equivalently, at high energies. The calculations of physical properties can be used to test the fractal character of the vibrational excitations in these materials.
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Ziff RM. Test of scaling exponents for percolation-cluster perimeters. PHYSICAL REVIEW LETTERS 1986; 56:545-548. [PMID: 10033222 DOI: 10.1103/physrevlett.56.545] [Citation(s) in RCA: 57] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Beale PD. Finite-size scaling study of the two-dimensional Blume-Capel model. PHYSICAL REVIEW. B, CONDENSED MATTER 1986; 33:1717-1720. [PMID: 9938476 DOI: 10.1103/physrevb.33.1717] [Citation(s) in RCA: 65] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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Tannous C. Gap of S=1/2 alternating antiferromagnetic Heisenberg chains at T=0 K. PHYSICAL REVIEW. B, CONDENSED MATTER 1985; 32:4770-4773. [PMID: 9937667 DOI: 10.1103/physrevb.32.4770] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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195
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Almeida NS, Tsallis C. Equation of state for the infinite cluster and backbone in the anisotropic square lattice. PHYSICAL REVIEW. B, CONDENSED MATTER 1985; 32:4725-4731. [PMID: 9937654 DOI: 10.1103/physrevb.32.4725] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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Jug G. Evidence for Ising-type critical phenomena in two-dimensional percolation. PHYSICAL REVIEW LETTERS 1985; 55:1343-1346. [PMID: 10031794 DOI: 10.1103/physrevlett.55.1343] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Campbell JH, Bretz M. 4He ordering transition on single-leaf pyrolytic graphite: A microcalorimetry study. PHYSICAL REVIEW. B, CONDENSED MATTER 1985; 32:2861-2869. [PMID: 9937393 DOI: 10.1103/physrevb.32.2861] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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Barma M, Fisher ME. Two-dimensional Ising-like systems: Corrections to scaling in the Klauder and double-Gaussian models. PHYSICAL REVIEW. B, CONDENSED MATTER 1985; 31:5954-5975. [PMID: 9936593 DOI: 10.1103/physrevb.31.5954] [Citation(s) in RCA: 34] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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Bak P, Kleban P, Unertl WN, Ochab J, Akinci G, Bartelt NC, Einstein TL. Phase diagram of selenium adsorbed on the Ni(100) surface: A physical realization of the Ashkin-Teller model. PHYSICAL REVIEW LETTERS 1985; 54:1539-1542. [PMID: 10031065 DOI: 10.1103/physrevlett.54.1539] [Citation(s) in RCA: 18] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Trugman SA, Weinrib A. Percolation with a threshold at zero: A new universality class. PHYSICAL REVIEW. B, CONDENSED MATTER 1985; 31:2974-2980. [PMID: 9936150 DOI: 10.1103/physrevb.31.2974] [Citation(s) in RCA: 21] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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