Finite-size scaling in systems with long-range interaction
نویسندگان
چکیده
منابع مشابه
Finite-size scaling in systems with long-range interaction
The finite-size critical properties of the O(n) vector φ4 model, with longrange interaction decaying algebraically with the interparticle distance r like r−d−σ, are investigated. The system is confined to a finite geometry subject to periodic boundary condition. Special attention is paid to the finite-size correction to the bulk susceptibility above the critical temperature Tc. We show that thi...
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The present review is devoted to the problems of finite-size scaling due to the presence of long-range interaction decaying at large distance as 1/rd+σ, where d is the spatial dimension and the long-range parameter σ > 0. Classical and quantum systems are considered. 1. Finite-size systems and critical phenomena A common wisdom is that the singularities in the thermodynamic functions at a criti...
متن کاملScaling behavior for finite O(n) systems with long-range interaction.
A detailed investigation of the scaling properties of the fully finite O(n) systems, under periodic boundary conditions, with long-range interaction, decaying algebraically with the interparticle distance r like r(-d-sigma), below their upper critical dimension, is presented. The computation of the scaling functions is done to one loop order in the nonzero modes. The results are obtained in an ...
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In this paper, we study in details the critical behavior of theO(n) quantum φ4 model with long-range interaction decaying with the distances r by a power law as r−d−σ in the large n-limit. The zero-temperature critical behavior is discussed. Its alteration by the finite temperature and/or finite sizes in the space is studied. The scaling behaviours are studied in different regimes depending upo...
متن کاملec 1 99 9 Finite - size scaling investigations in the quantum φ 4 - model with long - range interaction
In this paper, we study in details the critical behavior of theO(n) quantum φ4 model with long-range interaction decaying with the distances r by a power law as r−d−σ in the large n-limit. The zero-temperature critical behavior is discussed. Its alteration by the finite temperature and/or finite sizes in the space is studied. The scaling behaviours are studied in different regimes depending upo...
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ژورنال
عنوان ژورنال: The European Physical Journal B
سال: 2001
ISSN: 1434-6028
DOI: 10.1007/s100510170011