Two-point correlation function in systems with van der Waals type interaction |
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Authors: | D Dantchev |
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Institution: | (1) Institut für Theoretische Physik, Technische Hochschule Aachen, 52056 Aachen, Germany and Institute of Mechanics, Bulgarian Academy of Sciences, Acad. G. Bonchev St. Building 4, 1113 Sofia, Bulgaria, BG |
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Abstract: | The behavior of the bulk two-point correlation function G(;T| d ) in d-dimensional system with van der Waals type interactions is investigated and its consequences on the finite-size scaling properties
of the susceptibility in such finite systems with periodic boundary conditions is discussed within mean-spherical model which
is an example of Ornstein and Zernike type theory. The interaction is supposed to decay at large distances r as r
- (d + σ), with 2 < d < 4, 2 < σ < 4 and d + σ≤6. It is shown that G(;T| d ) decays as r
- (d - 2) for 1 ≪r≪ξ, exponentially for ξ≪r≪r
*, where r
* = (σ - 2)ξlnξ, and again in a power law as r
- (d + σ) for r≫r
*. The analytical form of the leading-order scaling function of G(;T| d ) in any of these regimes is derived.
Received 28 May 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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