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- H Chamati, D M Danchev, N S Tonchev
- 2008

A d–dimensional quantum model system confined to a general hypercubical geometry with linear spatial size L and " temporal size " 1/T (T-temperature of the system) is considered in the spherical approximation under periodic boundary conditions. For a film geometry in different space dimensions 1 2 σ < d < 3 2 σ , where 0 < σ ≤ 2 is a parameter controlling… (More)

- N S Tonchev
- 2004

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/r d+σ , where d is the spatial dimension and the long-range parameter σ > 0. Classical and quantum systems are considered. A common wisdom is that the singularities in the thermodynamic functions at a critical… (More)

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… (More)

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