Abstract:
The behavior of the bulk two-point correlation function G(r;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(r;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(r;T| d ) in any of these regimes is derived.
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Received 28 May 2001
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Dantchev, D. Two-point correlation function in systems with van der Waals type interaction. Eur. Phys. J. B 23, 211–219 (2001). https://doi.org/10.1007/s100510170070
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DOI: https://doi.org/10.1007/s100510170070