Renormalization group treatment of the scaling properties of finite systems with subleading long-range interaction |
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Authors: | H Chamati DM Dantchev |
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Institution: | (1) Institute of Solid State Physics - BAS, Tzarigradsko chaussée 72, 1784 Sofia, Bulgaria, BG;(2) Institute of Mechanics - BAS, Acad. G. Bonchev St. bl. 4, 1113 Sofia, Bulgaria, BG |
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Abstract: | The finite size behavior of the susceptibility, Binder cumulant and some even moments of the magnetization of a fully finite
O(n) cubic system of size L are analyzed and the corresponding scaling functions are derived within a field-theoretic ɛ-expansion scheme under periodic
boundary conditions. We suppose a van der Waals type long-range interaction falling apart with the distance r as r
- (d + σ), where 2 < σ < 4, which does not change the short-range critical exponents of the system. Despite that the system belongs
to the short-range universality class it is shown that above the bulk critical temperature T
c the finite-size corrections decay in a power-in-L, and not in an exponential-in-L law, which is normally believed to be a characteristic feature for such systems.
Received 8 August 2001 |
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Keywords: | PACS 64 60 -i General studies of phase transitions – 64 60 Fr Equilibrium properties near critical points critical exponents – 75 40 -s Critical-point effects specific heats short-range order |
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