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Publication date

2017-03-24

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cc-by (c) Lazaro, Guillermo R. et al., 2017
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/125550

Elastic and dynamic properties of membrane phase-field models

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https://doi.org/10.1140/epje/i2017-11566-8

Abstract

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.

Subject

Matèria condensada tova, Química supramolecular, Membranes (Biologia)

Subject (English)

Soft condensed matter, Supramolecular chemistry, Membranes (Biology)

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Articles publicats en revistes (Física de la Matèria Condensada)
Articles publicats en revistes (Institut de Recerca en Sistemes Complexos (UBICS))

Citation

LÁZARO, Guillermo R., PAGONABARRAGA MORA, Ignacio and HERNÁNDEZ MACHADO, Aurora. Elastic and dynamic properties of membrane phase-field models. European Physical Journal E. 2017. Vol. 40, num. 77. ISSN 1292-8941. [consulted: 13 of August of 2026]. Available at: https://hdl.handle.net/2445/125550

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