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  • Electronic Resource  (4)
  • 2000-2004  (4)
  • 1985-1989
  • 2002  (4)
  • PACS. 45.70.-n Granular systems – 47.54.+r Pattern selection; pattern formation  (2)
  • PACS. 02.20.Tw Infinite-dimensional Lie groups – 02.30.Jr Partial differential equations – 04.20.Jb Exact solutions – 03.65.Fd Algebraic methods  (1)
  • PACS. 02.50.-r Probability theory, stochastic processes, and statistics – 05.20.-y Classical statistical mechanics – 05.30.-d Quantum statistical mechanics – 05.70.-a Thermodynamics  (1)
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  • Electronic Resource  (4)
Years
  • 2000-2004  (4)
  • 1985-1989
Year
  • 2002  (4)
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  • 1
    Electronic Resource
    Electronic Resource
    Nonextensive statistics and incomplete information (2002)
    Springer
    The European physical journal 26 (2002), S. 357-368 
    Details
    ISSN: 1434-6036
    Keywords: PACS. 02.50.-r Probability theory, stochastic processes, and statistics – 05.20.-y Classical statistical mechanics – 05.30.-d Quantum statistical mechanics – 05.70.-a Thermodynamics
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: We comment on some open questions and theoretical peculiarities in Tsallis nonextensive statistical mechanics. It is shown that the theoretical basis of the successful Tsallis' generalized exponential distribution shows some worrying properties with the conventional normalization and the escort probability. These theoretical difficulties may be avoided by introducing an so called incomplete normalization allowing to deduce Tsallis' generalized distribution in a more convincing and consistent way.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1140/epjb/e20020100
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Method of group foliation and non-invariant solutions of partial differential equations (2002)
    Springer
    The European physical journal 29 (2002), S. 203-206 
    Details
    ISSN: 1434-6036
    Keywords: PACS. 02.20.Tw Infinite-dimensional Lie groups – 02.30.Jr Partial differential equations – 04.20.Jb Exact solutions – 03.65.Fd Algebraic methods
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: Using the heavenly equation as an example, we propose the method of group foliation as a tool for obtaining non-invariant solutions of PDEs with infinite-dimensional symmetry groups. The method involves the study of compatibility of the given equations with a differential constraint, which is automorphic under a specific symmetry subgroup and therefore selects exactly one orbit of solutions. By studying the integrability conditions of this automorphic system, i.e. the resolving equations, one can provide an explicit foliation of the entire solution manifold into separate orbits. The new important feature of the method is the extensive use of the operators of invariant differentiation for the derivation of the resolving equations and for obtaining their particular solutions. Applying this method we obtain exact analytical solutions of the heavenly equation, non-invariant under any subgroup of the symmetry group of the equation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1140/epjb/e2002-00286-6
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Selection of dune shapes and velocities Part 1: Dynamics of sand, wind and barchans (2002)
    Springer
    The European physical journal 28 (2002), S. 321-339 
    Details
    ISSN: 1434-6036
    Keywords: PACS. 45.70.-n Granular systems – 47.54.+r Pattern selection; pattern formation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: Almost fifty years of investigations of barchan dunes morphology and dynamics is reviewed, with emphasis on the physical understanding of these objects. The characteristic quantities measured on the field (shape, size, velocity) and the physical problems they rise are presented. Then, we review the dynamical mechanisms explaining the formation and the propagation of dunes. In particular a complete and original approach of the sand transport over a flat sand bed is proposed and discussed. We conclude on open problems by outlining future research directions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1140/epjb/e2002-00236-4
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Selection of dune shapes and velocities Part 2: A two-dimensional modelling (2002)
    Springer
    The European physical journal 28 (2002), S. 341-352 
    Details
    ISSN: 1434-6036
    Keywords: PACS. 45.70.-n Granular systems – 47.54.+r Pattern selection; pattern formation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: We present in this paper a simplification of the dune model proposed by Sauermann et al. which keeps the basic mechanisms but allows analytical and parametric studies. Two kinds of purely propagative two dimensional solutions are exhibited: dunes and domes. The latter, by contrast to the former, do not present a slip face. Their shape and velocity can be predicted as a function of their size. We recover that dune profiles are not scale invariant (small dunes are flatter than the large ones), and that the inverse of the velocity grows almost linearly with the dune size. We furthermore get the existence of a critical mass below which no dune solution exists. It rises the problem of dune nucleation: how can dunes appear if any bump below this minimal mass gets eroded and disappears? The linear stability analysis of a flat sand bed shows that it is unstable at large wavelengths: dune can in fact nucleate from a small sand mass if the proto-dune is sufficiently long.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1140/epjb/e2002-00237-3
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
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