Analysis of linear transport phenomena on fractals

Massimiliano Giona1, William A. Schwalm2, Alessandra Adrover1, Mizuho K. Schwalm2
1Centro Interuniversitario sui Sistemi Disordinati e sui Frattali nell'Ingegneria Chimica, c/o Dipartimento di Ingegneria Chimica, Universitá di Roma “La Sapienza” Via Endossiana 18, I-00184, Roma, Italy
2Department of Physics, University of North Dakota, Grand Forks, ND 58202-7129, USA

Tài liệu tham khảo

Mandelbrot, 1982 1986 1991 1994 1989 Harrison, 1995 Villernaux, 1993, Chem. Eng. Sci., 48, 2525, 10.1016/0009-2509(93)80265-R 1995 Nakamura, 1993 Avnir, 1984, Nature, 308, 261, 10.1038/308261a0 Avnir, 1992, New. J. Chem., 16, 439 Russ, 1994 Suzuki, 1983, Prog. Theor. Phys., 69, 65, 10.1143/PTP.69.65 Stinchombe, 1985, 13 Amit, 1984 Orbach, 1986, Science, 231, 814, 10.1126/science.231.4740.814 Havlin, 1987, Adv. Phys., 36, 695, 10.1080/00018738700101072 Crank, 1975 Slattery, 1983 Carslaw, 1959 Ma, 1973, Rev. Mod. Phys., 45, 589, 10.1103/RevModPhys.45.589 Wilson, 1974, Phys. Rep., 12C, 75, 10.1016/0370-1573(74)90023-4 Kadanoff, 1977, Rev. Mod. Phys., 49, 267, 10.1103/RevModPhys.49.267 Reynolds, 1980, Phys. Rev. B, 21, 1223, 10.1103/PhysRevB.21.1223 Mandelbrot, 1984, Phys. Rev. Lett., 52, 1853, 10.1103/PhysRevLett.52.1853 Adler, 1985, Int. J. Multiphase Flow, 11, 213, 10.1016/0301-9322(85)90047-3 Shah, 1986, Chem. Eng. Sci., 41, 283, 10.1016/0009-2509(86)87009-9 Sahimi, 1990, Chem. Eng. Sci., 45, 1443, 10.1016/0009-2509(90)80001-U M. Giona, W.A. Schwalm, M.K. Schwalm and A. Adrover, Chem. Eng. Sci., in press. M.G iona, W.A. Schwalm, M.K. Schwalm and A. Adrover, Chem. Eng. Sci., in press. M. Giona, W.A. Schwalm, M.K. Schwalm and A. Adrover, Chem. Eng. Sci., in press. Alexander, 1984, Phys. Rev. B, 29, 5504, 10.1103/PhysRevB.29.5504 Schwalm, 1988, Phys. Rev. B, 37, 9524, 10.1103/PhysRevB.37.9524 Schwalm, 1989, Phys. Rev. B, 39, 872, 10.1103/PhysRevB.39.12872 Schwalm, 1992, Physica A, 185, 195, 10.1016/0378-4371(92)90456-Z Schwalm, 1993, Phys. Rev. B, 47, 7847, 10.1103/PhysRevB.47.7847 Sivan, 1988, Europhys. Lett., 7, 249, 10.1209/0295-5075/7/3/011 Trinajstic, 1983, 1 Schwenk, 1978, 307 Kigami, 1993, Trans. Am. Math. Soc., 335, 721, 10.2307/2154402 Kigami, 1993, Commun. Math. Phys., 158, 93, 10.1007/BF02097233 Ziman, 1979 Tremblay, 1983, J. Phys. (Paris), 44, L843, 10.1051/jphyslet:019830044020084300 Benoit, 1992, J. Phys. Condens. Matter, 4, 3153, 10.1088/0953-8984/4/12/011 Giona, 251996, International Conference on Chaos and Fractals in Chemical Engineering, Rome Rugh, 1981 Kleinert, 1989 Mattuck, 1976 Bhattacharya, 1983, Water Resources Res., 19, 938, 10.1029/WR019i004p00938 Giona, 1993, Chem. Eng. Sci., 48, 1933, 10.1016/0009-2509(93)80072-X Giona, 1995, Chem. Eng. Sci., 50, 1001, 10.1016/0009-2509(94)00453-X Dhar, 1977, J. Math. Phys., 18, 577, 10.1063/1.523316 Dhar, 1978, J. Math. Phys., 19, 5, 10.1063/1.523515 Given, 1983, J. Phys. B., 16, L565 de Arcangelis, 1985, Phys. Rev. B, 31, 4725, 10.1103/PhysRevB.31.4725