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33645057170
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note
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The derivation of this functional is far from trivial. Ideally one should constrain the interface, away from its equilibrium flat position, in the configuration h(x) and, using the microscopic Hamiltonian, take a partial trace over the bulk variables. Note also that the displacement model assumes the existence of an interface and thus is only valid below the bulk critical temperature, where distinct "liquid" and "gas" phases are defined.
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6
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33645065557
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note
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-n, n>m>0.
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33645081186
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note
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The influence of the sign of λ has been previously investigated in Refs. [9,11,18].
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25
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0000065648
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The equivalence of Eqs. (5) and (6) is reminiscent of a result in equilibrium wetting establishing that at the mean-field level (dropping the noise and ignoring spatial variations of the order parameter) critical wetting in systems with long-range forces is equivalent to complete wetting in systems with short range interactions, R. Lipowsky, Phys. Rev. Lett. 52, 1429 (1984).
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