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We analyze a recently introduced mean-field model of a membrane with quenched random curvature. We find the replica-symmetry-breaking solution and the equivalent Almeida-Thouless line. This line separates a flat phase from a new mixed (glassy-flat) phase with broken ergodicity. This new phase may correspond to the observed wrinkled phase of partially polymerized membranes.
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Attal et al. (1993) studied this question.
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