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Scaling behavior for finite O(n) systems with long-range interaction | | H. Chamati
; N.S. Tonchev
; | | Date: |
20 May 2000 | | Subject: | Statistical Mechanics | cond-mat.stat-mech | | Abstract: | A detailed investigation of the scaling properties of the fully finite ${cal O}(n)$ systems 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 non-zero modes. The results are obtained in an expansion of powers of $sqrtepsilon$, where $epsilon=2sigma-d$ up to ${cal O}(epsilon^{3/2})$. The thermodynamic functions are found to be functions the scaling variable $z=RL^{2-eta-epsilon/2}U^{-1/2}$, where $R$ and $U$ are the coupling constants of the constructed effective theory, and $L$ is the linear size of the system. Some simple universal results are obtained. | | Source: | arXiv, cond-mat/0005335 | | Services: | Forum | Review | PDF | Favorites | |
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