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  • 2000-2004  (6)
  • 2001  (6)
  • PACS. 64.60.-i General studies of phase transitions – 64.60.Fr Equilibrium properties near critical points, critical exponents – 75.40.-s Critical-point effects, specific heats, short-range order  (2)
  • PACS. 75.10.Nr Spin-glass and other random models  (2)
  • Social networks.  (2)
Source
Material
Years
  • 2000-2004  (6)
Year
Keywords
  • 1
    Electronic Resource
    Electronic Resource
    The Bethe lattice spin glass revisited (2001)
    Springer
    The European physical journal 20 (2001), S. 217-233 
    Details
    ISSN: 1434-6036
    Keywords: PACS. 75.10.Nr Spin-glass and other random models
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: So far the problem of a spin glass on a Bethe lattice has been solved only at the replica symmetric level, which is wrong in the spin glass phase. Because of some technical difficulties, attempts at deriving a replica symmetry breaking solution have been confined to some perturbative regimes, high connectivity lattices or temperature close to the critical temperature. Using the cavity method, we propose a general non perturbative solution of the Bethe lattice spin glass problem at a level of approximation which is equivalent to a one step replica symmetry breaking solution. The results compare well with numerical simulations. The method can be used for many finite connectivity problems appearing in combinatorial optimization.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/PL00011099
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Subleading long-range interactions and violations of finite size scaling (2001)
    Springer
    The European physical journal 21 (2001), S. 251-268 
    Details
    ISSN: 1434-6036
    Keywords: PACS. 64.60.-i General studies of phase transitions – 64.60.Fr Equilibrium properties near critical points, critical exponents – 75.40.-s Critical-point effects, specific heats, short-range order
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: We study the behavior of systems in which the interaction contains a long-range component that does not dominate the critical behavior. Such a component is exemplified by the van der Waals force between molecules in a simple liquid-vapor system. In the context of the mean spherical model with periodic boundary conditions we are able to identify, for temperatures close above T c, finite-size contributions due to the subleading term in the interaction that are dominant in this region decaying algebraically as a function of L. This mechanism goes beyond the standard formulation of the finite-size scaling but is to be expected in real physical systems. We also discuss other ways in which critical point behavior is modified that are of relevance for analysis of Monte Carlo simulations of such systems.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s100510170201
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    The ± J spin glass in Migdal-Kadanoff approximation (2001)
    Springer
    The European physical journal 21 (2001), S. 589-594 
    Details
    ISSN: 1434-6036
    Keywords: PACS. 75.10.Nr Spin-glass and other random models
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: We study the low-temperature phase of the three-dimensional ± J Ising spin glass in Migdal-Kadanoff approximation. At zero temperature, T = 0, the properties of the spin glass result from the ground-state degeneracy and can be elucidated using scaling arguments based on entropy. The approach to the asymptotic scaling regime is very slow, and the correct exponents are only visible beyond system sizes around 64. At T 〉 0, a crossover from the zero-temperature behaviour to the behaviour expected from the droplet picture occurs at length scales proportional to T -2/ds where ds is the fractal dimension of a domain wall. Canonical droplet behaviour is not visible at any temperature for systems whose linear dimension is smaller than 16 lattice spacings, because the data are either affected by the zero-temperature behaviour or the critical point behaviour.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s100510170169
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Two-point correlation function in systems with van der Waals type interaction (2001)
    Springer
    The European physical journal 23 (2001), S. 211-219 
    Details
    ISSN: 1434-6036
    Keywords: PACS. 64.60.-i General studies of phase transitions – 64.60.Fr Equilibrium properties near critical points, critical exponents – 75.40.-s Critical-point effects, specific heats, short-range order
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: The behavior of the bulk two-point correlation function G( ;T| d ) in d-dimensional system with van der Waals type interactions is investigated and its consequences on the finite-size scaling properties of the susceptibility in such finite systems with periodic boundary conditions is discussed within mean-spherical model which is an example of Ornstein and Zernike type theory. The interaction is supposed to decay at large distances r as r - (d + σ), with 2 〈 d 〈 4, 2 〈 σ 〈 4 and d + σ≤6. It is shown that G( ;T| d ) decays as r - (d - 2) for 1 ≪r≪ξ, exponentially for ξ≪r≪r *, where r * = (σ - 2)ξlnξ, and again in a power law as r - (d + σ) for r≫r *. The analytical form of the leading-order scaling function of G( ;T| d ) in any of these regimes is derived.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s100510170070
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    Paper (German National Licenses)
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  • 5
    Unknown
    Social capital : theory and research (2001)
    New York : Aldine de Gruyter
    Sociology and economics  
    Details
    Keywords: Capital social (Sociologie) ; Réseaux sociaux. ; Social capital (Sociology) ; Social networks. ; Social structure. ; Structure sociale.
    Pages: xii, 333 p.
    ISBN: 0-585-48509-7
    URL: http://www.netLibrary.com/urlapi.asp?action=summary&v=1&bookid=101506
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    E-Book (German National Licenses)
  • 6
    Unknown
    Social capital : a theory of social structure and action (2001)
    Cambridge ; New York : Cambridge University Press
    Structural analysis in the social sciences  
    Details
    Keywords: Action sociale. ; Capital social (Sociologie) ; Réseaux sociaux. ; Social action. ; Social capital (Sociology) ; Social networks.
    Pages: xiv, 278 p.
    ISBN: 0-511-01947-5
    URL: http://www.netLibrary.com/urlapi.asp?action=summary&v=1&bookid=74320
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    E-Book (German National Licenses)
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