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Statistical mechanics of asymmetric tethered membranes: Spiral and crumpled phases

Statistical mechanics of asymmetric tethered membranes: Spiral and crumpled phases

We develop the elastic theory for inversion-asymmetric tethered membranes and use it to identify and study their possible phases. Asymmetry in a tethered membrane causes spontaneous curvature, which in general depends upon the local in-plane dilation of the tethered network. This in turn leads to long-ranged interactions between the local …