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The physical processes involved in diffusion of Galactic cosmic rays in theinterstellar medium are addressed. We study the possibility that the nonlinearMHD cascade sets the power-law spectrum of turbulence which scatters chargedenergetic particles. We find that the dissipation of waves due to the resonantinteraction with cosmic ray particles may terminate the Kraichnan-type cascadebelow wavelengths 10^13 cm. The effect of this wave dissipation has beenincorporated in the GALPROP numerical propagation code in order to asses theimpact on measurable astrophysical data. The energy-dependence of thecosmic-ray diffusion coefficient found in the resulting self-consistent modelmay explain the peaks in the secondary to primary nuclei ratios observed atabout 1 GeV/nucleon.Comment: 15 pages, 20 figures, 1 table, emulateapj.cls; To be published in ApJ  10 May 2006, v.64

Dissipation of Magnetohydrodynamic Waves on Energetic Particles: Impact on Interstellar Turbulence and Cosmic‐Ray Transport