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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 90 (1993), S. 215-228 
    ISSN: 1434-6036
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The finite-size scaling analysis of the density distribution function of subsystems of a system studied at constant total density is studied by a comparative investigation of two models: (i) the nearest-neighbor lattice gas model on the square lattice, choosing a total lattice size of 64×64 sites. (ii) The two-dimensional off-lattice Lennard-Jones system (truncated at a distance of 2.5 σ, σ being the range parameter of the interaction) withN=4096 particles, applying the NVT ensemble. In both models, the density distribution functionP L (ρ) is obtained forL×L subsystems for a wide range of temperaturesT, subblock linear dimensionsL and average densities 〈ρ〉. Particular attention is paid to the question whether accurate estimates of critical temperatureT c and critical density ρ c can be obtained. In the lattice gas model these critical parameters are known exactly and the limitations of the approach can thus be definitively asserted. The final estimates for the Lennard Jones problem areT c =0.47±0.01 (in units of the Lennard Jones energy ε) and ρ c (in units of σ2), a comparison with previous estimates is made.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Il nuovo cimento della Società Italiana di Fisica 15 (1993), S. 541-546 
    ISSN: 0392-6737
    Keywords: Surface magnetism ; Classical spin models
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Summary We present a mean-field study of the layer magnetization of a semi-infinite Ising model with intra-surfaceJ B and surface-bulkJ 1 interaction modified with respect to the bulk exchange interactionJ. This allows to discuss the extent of the spatial inhomogeneity perpendicular to a free surface. By following the magnetization of each layer, we are able to see how the critical exponents evolve from the bulk to the surface values. Furthermore, we introduce a new characteristic temperature,T em, where the surface magnetization departs from the bulk behaviour, as a possible candidate for the experimental determination ofJ 8 andJ 1.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Il nuovo cimento della Società Italiana di Fisica 12 (1990), S. 619-632 
    ISSN: 0392-6737
    Keywords: Kinetic and transport theory ; Classical, semiclassical and quantum theories of liquid structures
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Description / Table of Contents: Riassunto Si discutono gli sviluppi di modelli di forze interatomiche appropriati agli stati liquido e amorfo di sistemi covalenti, con le caratteristiche di direzionalità provenienti dal legame chimico. In particolare, opportuni potenziali a tre corpi sono stati ampiamente usati, a partire dal lavoro di Stillinger e Weber sul silicio e mediante tecniche di simulazione numerica, per lo studio della struttura liquida e amorfa degli elementi semiconduttori del IV gruppo e dei loro calcogenuri binari. Tuttavia, modelli descritti in termini di potenziali di coppia appropriati, che possano tener conto, seppur ad un livello primitivo, degli effetti principali di dipendenze angolari nelle forze interatomiche efficaci, hanno interesse in relazione alla teoria meccanico-statistica dello stato liquido. In quest'ambito si dà particolare attenzione a modelli che usano particelle di legame per trattare la struttura di stati disordinati del germanio. Si discute anche la connessione tra la struttura liquida in un tale modello e un processo di cristillazizzazione accompagnato da localizzazione elettronica e da espansione di volume, quale si osserva in semiconduttori dei gruppi IV e III–V.
    Abstract: Резюме В последние несколъко лет предпринятЫ значителънЫе усилия для равития моделей межатомнЫх сил с целъю объяснения направленности связей при расчетах структурЫ жидкого и аморфного состояний. Модели, включаюше трехчастичнЫе потенциалЫ, явлются особенно удобнЫми для численного моделирования жидкого и аморфного состояний в злементарнЫх полупроводниках и бинарнЫх халчкогенидах злементов IV-группЫ, начиная с раборЫ Стилингера и Вебера на кремнии. Однако, модели парного потениала, котрЫе могут еше объяснитъ главнЫе зффектЫ угловЫх зависимотей зффективнЫх межатомнЫх сил, хотя на примитивном уровне, бЫли бЫ желателънЫ с точки зрения теории структурЫ жидкости. Предлается краткий обзор этих подходов, причем особое внимание уделяется моделям связаннЫх частиц, для структурЫ жидкого и аморфного германия. МЫ также обсуждаем соотношение между структурой жидкости в модели связаннЫх частиц и кристаллизацией, которая сопровождается увеличечнием обьма, которое наблюдается в злементарнЫх и полярнЫх III–V полупроводникх.
    Notes: Summary Considerable effort has been given for some years to developing models of interatomic forces aimed at accounting for bond directionality in liquid and amorphous state calculations. Models involving three-body potentials have been especially useful for computer simulation studies of liquid and amorphous states in elemental semiconductors and binary chalcogenides of group-IV elements, starting with the work of Stillinger and Weber on silicon. However, pair potential models that may still account for the main effects of angular dependences of the effective interatomic forces, though at a primitive level, are desirable from the viewpoint of liquid structure theory. Developments in this direction are briefly reviewed, with particular emphasis on bond particle models for the structure of liquid and amorphous germanium. We also discuss the relation between liquid structure in a bond-particle model and crystallization accompanied by electron localization and volume expansion, as observed in elemental and III-V polar semiconductors.
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