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Elastic and dynamic properties of membrane phase-field models Lázaro, Guillermo R. Pagonabarraga Mora, Ignacio Hernández Machado, Aurora Matèria condensada tova Química supramolecular Membranes (Biologia) Soft condensed matter Supramolecular chemistry Membranes (Biology) Phase-field models have been extensively used to study interfacial phenomena, from solidification to vesicle dynamics. In this article, we analyze a phase-field model that captures the relevant physical features that characterize biological membranes. We show that the Helfrich theory of elasticity of membranes can be applied to phase-field models, allowing to derive the expressions of the stress tensor, lateral stress profile and elastic moduli. We discuss the relevance and interpretations of these magnitudes from a phase-field perspective. Taking the sharp-interface limit we show that the membrane macroscopic equilibrium equation can be derived from the equilibrium condition of the phase-field interface. We also study two dynamic models that describe the behaviour of a membrane. From the study of the relaxational behaviour of the membrane we characterize the relevant dynamics of each model, and discuss their applications. 2018-10-23T18:10:52Z 2018-10-23T18:10:52Z 2017-03-24 2018-10-23T18:10:52Z info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Reproducció del document publicat a: https://doi.org/10.1140/epje/i2017-11566-8 European Physical Journal E, 2017, vol. 40, p. 77 https://doi.org/10.1140/epje/i2017-11566-8 cc-by (c) Lazaro, Guillermo R. et al., 2017 http://creativecommons.org/licenses/by/3.0/es info:eu-repo/semantics/openAccess Springer Verlag Articles publicats en revistes (Física de la Matèria Condensada)