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- W2128385135 abstract "Area-weighted Dyck-paths are a two-dimensional model for vesicles attached to a wall. We model the mechanical response of a vesicle to a pulling force by extending this model. We obtain an exact solution using two different approaches, leading to a q-deformation of an algebraic functional equation, and a q-deformation of a linear functional equation with a catalytic variable, respectively. While the non-deformed linear functional equation is solved by substitution of special values of the catalytic variable (the so-called kernel method), the q-deformed case is solved by iterative substitution of the catalytic variable. Our model shows a non-trivial phase transition when a pulling force is applied. As soon as the area is weighted with non-unity weight, this transition vanishes." @default.
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- W2128385135 date "2012-09-11" @default.
- W2128385135 modified "2023-09-23" @default.
- W2128385135 title "Exact solution of a model of a vesicle attached to a wall subject to mechanical deformation" @default.
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- W2128385135 doi "https://doi.org/10.1088/1751-8113/45/39/395001" @default.
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