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  • 1
    Electronic Resource
    Electronic Resource
    Multifractal thermodynamics of hadron-hadron and hadron-nucleus interactions (1998)
    Springer
    The European physical journal 2 (1998), S. 223-225 
    Details
    ISSN: 1434-601X
    Keywords: PACS:13.85.Hd Inelastic scattering: many-particle final states
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: It is shown that the constant-specific-heat approximation is applicable to multifractal thermodynamics of hadron-hadron and hadron-nucleus interactions at high energies. Moreover, the constant specific heats calculated from experimental data on hadron-hadron and hadron-nucleus interactions have approximately the same value for both these types of multifractal multiproduction. Thus this parameter may turn out to be an universal characteristic of the hadron-hadron and hadron-nucleus interactions. Some relationship of this phenomenon to multifractal thermodynamics at the onset of chaos is briefly discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s100500050110
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  • 2
    Electronic Resource
    Electronic Resource
    Multifractality of some random and disordered systems as a thermodynamics in fractal phase space (1999)
    Springer
    The European physical journal 9 (1999), S. 691-693 
    Details
    ISSN: 1434-6036
    Keywords: PACS. 05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: It is shown that multifractal properties of some random and disordered systems can be simulated using thermodynamics of a generalized ideal monoatomic gas in a fractal phase space.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s100510050814
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  • 3
    Electronic Resource
    Electronic Resource
    Quasi Bernoulli fluctuations in random and disordered systems (1998)
    Springer
    The European physical journal 3 (1998), S. 141-142 
    Details
    ISSN: 1434-6036
    Keywords: PACS. 05.40. +j Fluctuation phenomena, random processes, and Brownian motion - 05.45. +b Theory and models of chaotic systems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: It is shown that quasi Bernoulli fluctuations, which appear at a morphological phase transition, can be considered as a statistical basis for multifractal processes with constant multifractal specific heat in a wide class of random and disordered systems. This class contains at least following processes: percolation, diffusion-limited aggregation and corrosion, Lorenz like attractors, and mesoscopic systems with Anderson transition.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s100510050293
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    An universal relation between fractal and Euclidean (topological) dimensions of random systems (1998)
    Springer
    The European physical journal 6 (1998), S. 381-382 
    Details
    ISSN: 1434-6036
    Keywords: PACS. 64.60.Ak Renormalization-group, fractal, and percolation studies of phase transitions - 61.43.Hv Fractals; macroscopic aggregates (including diffusion-limited aggregates) - 05.40.+j Fluctuation phenomena, random processes, and Brownian motion
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: It is shown that a dimension-invariant form for fractal dimension D of random systems (where d is Euclidean dimension of the embedding space) is in good agreement with results of numerical simulations performed by different authors for critical (p=p c ) and subcritical (p〈p c ) percolation, for lattice animals, and for different aggregation processes.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s100510050564
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  • 5
    Electronic Resource
    Electronic Resource
    Multifractal statistics of multiparticle production at high energies (1999)
    Springer
    The European physical journal 4 (1999), S. 283-286 
    Details
    ISSN: 1434-601X
    Keywords: PACS: 13.85.Hd Inelastic scattering: many particle final state – 24.60.Ky Fluctuation phenomena
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: It is shown that high energy multiparticle production near the morphological phase transition from monofractality to multifractality is characterized by a multifractal Bernoulli distribution. Experimental data on hadron-hadron, hadron-nucleus and on heavy ions collisions are used to show an universal character of this distribution (and, consequently, of the morphological phase transition) in multiparticle production at high energies.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s100500050231
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  • 6
    Electronic Resource
    Electronic Resource
    Multifractal critical phenomena in traffic and economic processes (1999)
    Springer
    The European physical journal 11 (1999), S. 361-364 
    Details
    ISSN: 1434-6036
    Keywords: PACS. 05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion - 01.75.+m Science and society
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: Multifractal critical phenomena with infinite-temperature critical point and with complex coexistence of the infinite and finite temperature critical points are considered and it is shown that strange attractors generated by cascades of period-doubling bifurcations (Feigenbaum scenario) as well as fields of velocity differences in fluid turbulence belong to the former subclass of the multifractal critical phenomena, while the real traffic processes and real currency exchange processes belong to the last (complex) subclass of the multifractal critical phenomena. Data obtained by different authors are used for this purpose.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1088/0953-8984/11/2/004
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  • 7
    Electronic Resource
    Electronic Resource
    Multifractal Statistics of Mesoscopic Systems (1999)
    Springer
    Journal of statistical physics 94 (1999), S. 725-737 
    Details
    ISSN: 1572-9613
    Keywords: multifractal Bernoulli distribution ; disordered systems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A generalization of the Havlin–Bunde multifractal hypothesis is used to obtain a probability distribution corresponding to mesoscopic systems close to the critical regime. Good agreement between results of numerical simulations performed by different authors and this new type of probability distribution is established.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1004549829897
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  • 8
    Electronic Resource
    Electronic Resource
    Multifractal percolation and growth in intermittent media (1997)
    Springer
    Journal of statistical physics 87 (1997), S. 607-611 
    Details
    ISSN: 1572-9613
    Keywords: Scaling ; percolation ; growth ; intermittency ; moments
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The Havlin-Bunde multifractal hypothesis for the probability density of a random walker is used to obtain the scaling law of thepth-order correlation function of the concentration (for percolation) and of the height (for growing surfaces) differences:c p (r)=〈|Θ(x+r)−Θ(x)| p 〉∼r ς p in intermittent media. It is shown that near the transition to homogeneity σ p =A p In(p/p o)(whereA andp 0 are some constants). Good agreement with recent experiments and computer simulations of different authors is established.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02181239
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