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SUMMARY:Nonlocal relativistic diffusion (NoRD) model of galactic cosmic ra
 y propagation
DTSTART;VALUE=DATE-TIME:20161010T124500Z
DTEND;VALUE=DATE-TIME:20161010T130000Z
DTSTAMP;VALUE=DATE-TIME:20260720T125930Z
UID:indico-contribution-633@cern.ch
DESCRIPTION:Speakers: Renat Sibatov (Ulyanovsk State University)\nMost of 
 the modern calculations of galactic cosmic-ray (GCR) propagation are based
  on the local diffusion model acceptable for the Brownian motion (BM) of a
  heavy particle through the system of uniformly distributed uncorrelated (
 i.e. non-interacting) molecules. However\, about 60 years ago it has been 
 found that the BM model is unable to adequately describe the diffusion in 
 turbulent media [1-3]. Without doubt\, interstellar medium belongs to this
  class. For this reason\, the nonlocal transport theory based on fractiona
 l calculus is developed in [4]. The series of calculations performed to 20
 10  confirmed the effectiveness of the approach\, improved parameters and 
 led eventually to involving the relativistic speed limit [5]. The obtained
  model was described in [5\,6] and called NoRD in [7].\n\nIn this work\, t
 he key parameters of the NoRD model are obtained by specifying the Kolmogo
 rov spectra of turbulence near the inertial interval edges. This specifica
 tion leads to tempered power law distributions of free path lengths. The f
 ractional differential operators are modified into their tempered generali
 zations. We coordinate energy dependent diffusion coefficient and truncati
 on factor. For energies small enough for interested temporal and spatial s
 cales\, diffusion is normal. Extrapolating this dependence on large energi
 es\, we observe superdiffusive motion and tendency to ballistic motion. No
 RD propagators are calculated and analyzed. Under basic assumptions about 
 the GCR origin\, the relativistic principle of maximum speed of propagatio
 n leads to the steepening of the equilibrium spectrum at energies close to
  the observed `knee'. In frames of the NoRD-model\, we estimate the role o
 f the local sources and the mass composition at PeV-energies.\n\n1. Monin 
 A.S.\, Yaglom A.M. Statistical fluid mechanics\, Vol.II: mechanics of turb
 ulence\, 1965. \n2. Heisenberg W.  Proc Roy. Soc\, A195 (1948) 402. (1948)
 .\n3. Tchen C. M. Physical Review 93 (1954) 4.\n4. Lagutin A.A.\, Nikulin 
 Y.A.\, Uchaikin V.V. Nuclear Physics B-Proceedings Supplements 97 (2001) 2
 67.\n5. Uchaikin V. V. JETP letters 91 (2010) 105.\n6. Uchaikin V.V. Physi
 cs-Uspekhi 56 (2013) 1074.\n7. Uchaikin V. V.\, Sibatov R. T. IJARSET 11 (
 2015) 1081.\n\nhttps://indico.particle.mephi.ru/event/4/contributions/633/
LOCATION:Milan Hotel Verdi
URL:https://indico.particle.mephi.ru/event/4/contributions/633/
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