2000/05/31 by Hassan Chamati, H. Chamati, N. S. Tonchev · 1 citation
Materials Science · Physics and Astronomy · #Material Dynamics and Properties #Quantum chaos and dynamical systems #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.63.026103
17 revtex pages, minor correction. new results and references are added
arxiv created 2000/09/18 · openalex publication_date 2001/01/18 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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^\ensuremath-d\ensuremath-\ensuremathσ, 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 expansion of powers of √\ensuremathε, where \ensuremathε=2\ensuremathσ\ensuremath-d up to O(\ensuremathε3/2). The thermodynamic functions are found to depend upon the scaling variable z=RU^\ensuremath-1/2L^2\ensuremath-\ensuremathη\ensuremath-\ensuremathε/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.