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  • 1
    Electronic Resource
    Electronic Resource
    Mean-field renormalization group with reaction field for diluted ising model (1987)
    Springer
    Il nuovo cimento della Società Italiana di Fisica 9 (1987), S. 123-131 
    Details
    ISSN: 0392-6737
    Keywords: Phase equilibria, phase transitions, and critical points of specific substances
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Description / Table of Contents: Riassunto Un metodo di rinormalizzazione basato sul campo medio con correzioni di campo di reazione è applicato a modelli di Ising diluiti. Sone trattati sia il caso di legami diluiti in due dimensioni, che quello di siti diluiti in due e tre dimensioni. Per diluizioni non troppo elevate il diagramma delle fasi è in buon accordo con altre predizioni. Ad alte diluizioni (vicino alla soglia di percolazione) possono verificarsi patologie dovute all’inadeguatezza del campo di reazione a basse temperature.
    Abstract: Резюме Группа перенормировки для среднего поля, включая поле взаимодействия, применяется к системам Изинга. Рассматриваются двумерное разбавление связи и двумерное и трехмерное разбавление узлов. Для слабого и среднего разбавления фазовые диаграммы хорошо согласуются с другими предсказаниями, однако для сильного раэбавления (вблизи порога перколяции) могут возникать патологии, связанные с выбором взаимодейстния при низкой температуре.
    Notes: Summary A mean-field renormalization group method including the reaction field is applied to diluted Ising systems. Two-dimensional bond dilution and both two- and three-dimensional site dilution are considered. For low and intermediate dilution, the phase diagrams agree well with other predictions, while for large dilution (near the percolation threshold) pathologies may show up related to the choice of the reaction field at low temperature.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02451170
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  • 2
    Electronic Resource
    Electronic Resource
    A correlation function renormalization group analysis of the ferromagnetic transition in theZ n spin model (1985)
    Springer
    Il nuovo cimento della Società Italiana di Fisica 6 (1985), S. 124-130 
    Details
    ISSN: 0392-6737
    Keywords: General studies of phase transitions
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Description / Table of Contents: Riassunto Per il modello di spinZ n, con 2≤n≤10, in un reticolo di soli 8 siti, alcune funzioni di correlazione sono calcolate ed usate per, costruire una transformazione di rinormalizzazione. Sono così ottenute stime delle temperature critiche e degli esponenti termici e magnetici in buon accordo con risultati esatti o Monte Carlo. Pern≥5 il metodo descrive in modo piuttosto accurato il punto critico al limite inferiore della fase con correlazioni a portata infinita.
    Abstract: Резюме В рамкахZ n спиновой модели на конечной квадратной решетке, для случая восьми узлов, вычисляются корреляционные функции, которые используютсся для перенормированных преобразований для 2≤n≤10. Получено, что оценки для критических точек и для термических и магнитных показателей довольно хорошо согласуются с точными результатами и вычислениями Монте Карло. Дляn≥5 предложенный метод описывает довольно точно ферромагнитную критическую точку на дне безмассовой фазы.
    Notes: Summary In theZ n spin model on a finite square lattice of only eight sites, correlation functions are calculated and used for implementing a renormalization transformation for 2≤n≤10. Estimates for critical points and thermal and magnetic exponents are found in fair agreement with exact or Monte Carlo results. Forn≥5 the method describes rather accurately the ferromagnetic critical point at the bottom of the massless phase.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02450675
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  • 3
    Electronic Resource
    Electronic Resource
    Comment on "Behavior of polymer end-to-end distance in two dimensions at the theta point'' (1985)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 83 (1985), S. 912-912 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: It is argued that a correct interpretation of the renormalization group results for the two-tolerant trail, as derived by Marqusee and Deutch, leads to the conclusion that this model belongs to the universality class of the self-avoiding walk, contrary to what these authors claim.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.449459
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  • 4
    Electronic Resource
    Electronic Resource
    On the Onsager-Yang-Value of the spontaneous magnetization (1973)
    Springer
    Communications in mathematical physics 30 (1973), S. 45-54 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We show that the value of the spontaneous magnetization for the two-dimensional Ising model computed by Onsager is indeed, the appropriate derivative of the free energy with respect to the magnetic field. The argument is based on a simple application of the duality transformation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01646687
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    Paper (German National Licenses)
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  • 5
    Electronic Resource
    Electronic Resource
    Wavevector scaling, surface critical behavior, and wetting in the 2-d, 3-state chiral clock model (1987)
    Springer
    The European physical journal 67 (1987), S. 357-361 
    Details
    ISSN: 1434-6036
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The controversial 2-d, 3-state chiral Potts model is studied using transfer matrix finite size scaling. at Δ=0, we find dq N/dΔ∝N −4/5, whereq is the “wavevector”, Δ the chiral field, andN the strip width (N=4−10). The result is consistent with den Nijs's crossover exponent ϕ=1/6. With surface fields on the infinite free boundaries, exponents associated with bulk magnetizationy H, surface magnetizationy′ H, and surface susceptibility χ are computed vs. Δ; results are similar for $$\hat \Delta$$ ‖ or ⊥ to the infinite direction. Preliminary results are given for the bulk specific heat critical amplitudes, to test the universality of amplitude ratios. The interface wetting line is located for 0≦Δ≦1/4 using simple transfer matrix calculations of surface tensions in the solid-on-solid approximation. Overhangs or bubbles seem relatively unimportant at all temperatures.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01307260
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    Paper (German National Licenses)
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  • 6
    Electronic Resource
    Electronic Resource
    Reentrant Interface Depinning from Rough Walls (1998)
    Springer
    International journal of thermophysics 19 (1998), S. 867-875 
    Details
    ISSN: 1572-9567
    Keywords: geometrical surface disorder ; phase diagram ; statistical physics ; wetting
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Depinning of an interface from a rough self-affine wall delimiting an attractive substrate is described in terms of directed paths on a square lattice. Short range interactions are assumed and the phase diagram is determined by transfer matrix methods for several values of ζW, the roughness exponent of the wall. For all ζW the following scenario is observed. At a very low temperature T, the interface is not pinned for wall attraction energies below a certain ζW-dependent, nonzero threshold. This contrasts with the case of smooth walls, for which the threshold is zero. In a range of attraction energies just below the threshold, a pinning transition first occurs, as T increases, followed by a depinning one (reentrant depinning). This unusual reentrance phenomenon, in which, upon increasing T, dewetting is followed by wetting, is peculiar of self-affine roughness and does not occur, e.g., with a periodic substrate corrugation. The nature of both wetting and dewetting transitions is determined by the value of ζW. As found in related work, the two transitions are both continuous or both first-order, according to whether ζW;l/2, or ζW〉l/2, respectively. The border value ζ0=1/2 coincides with the intrinsic roughness of the interface in the bulk.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1022647107757
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