Thermodynamical behavior of polymerized membranes
نویسندگان
چکیده
منابع مشابه
Self-avoiding Polymerized Membranes
Recent progresses in the understanding of the scaling behavior of self-avoiding flexible polymerized membranes (tethered manifolds) are reviewed (joint works with B. Duplantier and E. Guitter, and with K. Wiese). They rely on a new general renormalization group approach for a class of models with non-local singular interactions. This approach allows to prove the existence of a ǫ-expansion for t...
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The author neglected to cite a previously published related paper which reports that, when partially polymerized membranes suffer a wrinkling transition, the distribution of wrinkles is lognormal 1. In addition, some of the data reported in the manuscript were previously reported in reference 1. The data in Figure 1 are taken from Figure 3a and Figure 5 in ref. 1; Figure 2b is adapted from Figu...
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The mechanical and thermodynamical approaches to the theory of the general curved interfaces are presented and compared. In the mechanical approach a curved interface or membrane is characterized by the tensors of surface stresses and moments. They are connected by the surface balances of the linear and angular momentum. On the other hand, in the thermodynamical approach the surface is characte...
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In these lecture notes, we give an overview about non-local field-theories and their application to polymerized membranes, i.e. membranes with a fixed internal connectivity. The main technical tool is the multi-local operator product expansion (MOPE), generalizing ideas from local field theories to the multi-local situation. These notes are largely inspired by: Kay Wiese, “Polymerized membranes...
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تاریخ انتشار 2017