Extractions: Phys. Rev. Lett. Phys. Rev. A Phys. Rev. B Phys. Rev. C Phys. Rev. D Phys. Rev. E Phys. Rev. ST AB Phys. Rev. ST AB Rev. Mod. Phys. Phys. Rev. (Series I) Phys. Rev. Volume: Page/Article: MyArticles: View Collection Help (Click on the to add an article.) Previous article Next article Issue 21 contents View PDF (147 kB) or Buy this Article Victor L'vov , Evgenii Podivilov , and Itamar Procaccia Received 14 December 1995 It is shown that the description of anomalous scaling in turbulent systems requires the simultaneous use of two normalization scales. This phenomenon stems from the existence of two independent (infinite) sets of anomalous scaling exponents that appear in leading order, one set due to infrared anomalies and the other due to ultraviolet anomalies. To expose this clearly we introduce here a set of local fields whose correlation functions depend simultaneously on the two sets of exponents. Thus the Kolmogorov picture of "inertial range" scaling is shown to fail because of anomalies that are sensitive to the two ends of this range.
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Edwards Landau, LD, and lifshitz, EM, 1959, Theory of Elasticity. Rom, EvgeniiS., 1966, Filtratsionnye svoista treshchinovatykh gornykh prod Nedra http://www.geo.utexas.edu/faculty/jmsharp/Frac99refs.htm
Extractions: Fracture 1999 References Utilized in preparation of the Sharp/Marder ARP grant proposal Abdel-Salam, A., and Chrysikopoulos, C. V., 1994, Analytical solutions for one-dimensional colloid transport in saturated fractures: Advances in Water Resources, v. 17, p. 283-296. Abraham, F. F., Brodbeck, D., Rafey, R. A., and Rudge, W. E., 1994, Instability dynamics of fracture: A computer simulation investigation. Physical Review Letter, v. 73, p. 272-275. Amelinckx, S., Gevers, R., and Van Landuyt, J. (eds.), 1978, Diffraction and Imaging Techniques in Material Science, (v. 1), Imaging and Diffraction Techniques. North-Holland Publishing Company, Amsterdam, 1978. Anderson, T. L., 1995, Fracture Mechanics: Fundamentals and Applications. CRC Press. Anstis, G. R., Chantikul, P., Lawn, B. R., and Marshal, D. B., 1981, A critical evaluation of indentation techniques for measuring fracture toughness: 1, Direct crack measurements: Jour. American Ceramics Society, v. 64:p. 531-537. Antonellini, M., and Aydin, A., 1994, Effect of faulting on fluid flow in porous sandstones: Petrophysical properties: Am. Assoc. Petroleum Geol. Bull., v. 78, p. 355-377. Aris, R., 1959, On dispersion of a solute by diffusion, convection, and exchange between phases: Proc. Royal Soc., Sec. A, v. 252, p. 355-377.
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