Exact Calculations of Membrane Areas with Simple Models

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dc.creatorStecki, J.
dc.date2008-07-29
dc.date.accessioned2026-07-07T09:53:28Z
dc.date.available2026-07-07T09:53:28Z
dc.descriptionThe distinction between the true total area and the projected area is elucidated with soluble models which represent the membrane as a self-avoiding string on a plane. Constraining the total area to a predetermined value changes the averages very significantly. The latter are calculated exactly from the generating functions of self-avoiding walks and are shown as functions of activities $q$ and $r$ related to temperature $T=\pm 1/\log (q)$ and lateral force $f=-\log (r)$. The constraint makes the partition functions and averages valid for all $q,r >0$ and reduces the ratio of $A_{tot}$ to the projected area $L$. High temperature divergences are supressed. Possible applications to simulated bilayers/membranes are discussed.
dc.description17 pages, 5 Figures
dc.identifierhttps://arxiv.org/abs/0807.4593
dc.identifierhttp://arxiv.org/abs/0807.4593
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165965
dc.subjectSoft Condensed Matter
dc.subjectStatistical Mechanics
dc.titleExact Calculations of Membrane Areas with Simple Models
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