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  • criticality
  • American Geophysical Union  (2)
  • Springer  (2)
  • 1990-1994  (4)
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  • American Geophysical Union  (2)
  • Springer  (2)
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Year
  • 1
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    American Geophysical Union
    In:  Professional Paper, Nonlinear Dynamics and Predictability of Geophysical Phenomena, Washington, American Geophysical Union, vol. 24, no. 231, pp. 7-13, (ISBN: 3-540-23712-7)
    Publication Date: 1994
    Keywords: Modelling ; Earthquake precursor: prediction research ; Earthquake precursor: statistical anal. of seismicity ; criticality ; Review article ; Chaotic behaviour ; FractureT
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  • 2
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    American Geophysical Union
    In:  Washington, 107 pp., American Geophysical Union, vol. IUGG Volume 18, no. 85, pp. 799-804, (ISBN 3-540-23219-2)
    Publication Date: 1994
    Keywords: Non-linear effects ; FractureT ; Chaotic behaviour ; SOC ; criticality ; Textbook of geophysics ; Dynamic ; Earthquake precursor: prediction research
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 66 (1992), S. 1225-1244 
    ISSN: 1572-9613
    Keywords: Density functionals ; energy functionals ; Ising model ; scaling theory ; criticality ; surfaces ; interfaces ; microcanonical ; one-dimensional
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Free-energy functionals suitable for describing realistic, nonuniform systems near criticality are discussed with emphasis on the advantages of a local formalism. It is proposed to investigatemicro canonical functionals in which both the usual order-parameter (or magnetization) density m(r)and the local energy density ɛ(r), which has independent critical fluctuations, are employed. This approach is tested by an exact calculation of the microcanonical functional ℒ[{m}, {ɛ}] in the continuum limit for a one-dimensional Ising model. Remarkably, the microcanonical functional is found to be local irrespective of the proximity to the critical point (located at zero temperature and zero field). Furthermore, its form relates closely to the scaling postulate advanced earlier by de Gennes and Fisher and displays features of conformal covariance.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 61 (1990), S. 241-252 
    ISSN: 1572-9613
    Keywords: Ising model ; zero-temperature limit ; sharp transition ; fluctuations ; criticality
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract In the limit as the volume grows and the temperature vanishes, it is shown that the one-dimensional nearest neighbor ferromagnetic Ising model presents a sharp transition between two different regimes. Fluctuations are studied in one of these regimes and also in the critical case.
    Type of Medium: Electronic Resource
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