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  • Articles: DFG German National Licenses  (6)
  • 2000-2004  (6)
  • 1995-1999
  • 1940-1944
  • 1920-1924
  • 1870-1879
  • 1810-1819
  • 1800-1809
  • 2002  (6)
  • 1940
  • 1921
  • 1813
  • PACS. 75.50.Lk Spin glasses and other random magnets – 05.70.Fh Phase transitions: general studies – 64.70.Pf Glass transitions  (2)
  • PACS. 89.75.Hc Networks and genealogical trees – 05.50.+q Lattice theory and statistics (Ising, Potts, etc.) – 87.23.Ge Dynamics of social systems  (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. 02.40.-K Geometry, differential geometry, and topology – 02.30.Jr Partial differential equations – 11.10.Lm Nonlinear or nonlocal theories and models  (1)
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  • Articles: DFG German National Licenses  (6)
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  • 2000-2004  (6)
  • 1995-1999
  • 1940-1944
  • 1920-1924
  • 1870-1879
  • +
Year
  • 2002  (6)
  • 1940
  • 1921
  • 1813
Keywords
  • 1
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 26 (2002), S. 269-272 
    ISSN: 1434-6036
    Keywords: PACS. 89.75.Hc Networks and genealogical trees – 05.50.+q Lattice theory and statistics (Ising, Potts, etc.) – 87.23.Ge Dynamics of social systems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: A model to terrorism is presented using the theory of percolation. Terrorism power is related to the spontaneous formation of random backbones of people who are sympathetic to terrorism but without being directly involved in it. They just don't oppose in case they could. In the past such friendly-to-terrorism backbones have been always existing but were of finite size and localized to a given geographical area. The September 11 terrorist attack on the US has revealed for the first time the existence of a world wide spread extension. It is argued to have result from a sudden world percolation of otherwise unconnected and dormant world spread backbones of passive supporters. The associated strategic question is then to determine if collecting ground information could have predict and thus avoid such a transition. Our results show the answer is no, voiding the major criticism against intelligence services. To conclude the impact of military action is discussed.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 25 (2002), S. 403-406 
    ISSN: 1434-6036
    Keywords: PACS. 89.75.Hc Networks and genealogical trees – 05.50.+q Lattice theory and statistics (Ising, Potts, etc.) – 87.23.Ge Dynamics of social systems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: The dynamics of spreading of the minority opinion in public debates (a reform proposal, a behavior change, a military retaliation) is studied using a diffusion reaction model. People move by discrete step on a landscape of random geometry shaped by social life (offices, houses, bars, and restaurants). A perfect world is considered with no advantage to the minority. A one person-one argument principle is applied to determine locally individual mind changes. In case of equality, a collective doubt is evoked which in turn favors the Status Quo. Starting from a large in favor of the proposal initial majority, repeated random size local discussions are found to drive the majority reversal along the minority hostile view. Total opinion refusal is completed within few days. Recent national collective issues are revisited. The model may apply to rumor and fear propagation.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 29 (2002), S. 203-206 
    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
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 29 (2002), S. 469-479 
    ISSN: 1434-6036
    Keywords: PACS. 75.50.Lk Spin glasses and other random magnets – 05.70.Fh Phase transitions: general studies – 64.70.Pf Glass transitions
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: We study the deviations from perfect memory in negative temperature cycle spin glass experiments. It is known that the a.c. susceptibility after the temperature is raised back to its initial value is superimposed to the reference isothermal curve for large enough temperature jumps ΔT (perfect memory). For smaller ΔT, the deviation from this perfect memory has a striking non monotonous behavior: the `memory anomaly' is negative for small ΔT's, becomes positive for intermediate ΔT's, before vanishing for still larger ΔT's. We show that this interesting behavior can be reproduced by simple Random Energy trap models. We discuss an alternative interpretation in terms of droplets and temperature chaos.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 29 (2002), S. 217-219 
    ISSN: 1434-6036
    Keywords: PACS. 02.40.-K Geometry, differential geometry, and topology – 02.30.Jr Partial differential equations – 11.10.Lm Nonlinear or nonlocal theories and models
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: In this talk we introduce a Weierstrass-like system of equations corresponding to CP N -1 fields in two dimensions. Then using this representation we introduce a vector in R N 2-1 and treating this vector as the radius vector of a surface immersed in R N 2-1 we discuss to what extent the associated metric describes the geometry of the CP N -1 maps. We show that for the holomorphic maps - the correspondence is exact; while for the more general fields we have to go beyond the Weierstrass system and add extra terms.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 28 (2002), S. 199-208 
    ISSN: 1434-6036
    Keywords: PACS. 75.50.Lk Spin glasses and other random magnets – 05.70.Fh Phase transitions: general studies – 64.70.Pf Glass transitions
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: We address the problem of chaotic temperature dependence in disordered glassy systems at equilibrium by following states of a random-energy random-entropy model in temperature; of particular interest are the crossings of the free-energies of these states. We find that this model exhibits strong, weak or no temperature chaos depending on the value of an exponent. This allows us to write a general criterion for temperature chaos in disordered systems, predicting the presence of temperature chaos in the Sherrington-Kirkpatrick and Edwards-Anderson spin glass models, albeit when the number of spins is large enough. The absence of chaos for smaller systems may justify why it is difficult to observe chaos with current simulations. We also illustrate our findings by studying temperature chaos in the naıve mean field equations for the Edwards-Anderson spin glass.
    Type of Medium: Electronic Resource
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