The Immunity of Polymer-Microemulsion Networks

dc.creatorHed, Guy
dc.creatorSafran, S. A.
dc.date2005-09-21
dc.date2006-01-17
dc.date.accessioned2026-07-07T06:41:49Z
dc.date.available2026-07-07T06:41:49Z
dc.descriptionThe concept of network immunity, i.e., the robustness of the network connectivity after a random deletion of edges or vertices, has been investigated in biological or communication networks. We apply this concept to a self-assembling, physical network of microemulsion droplets connected by telechelic polymers, where more than one polymer can connect a pair of droplets. The gel phase of this system has higher immunity if it is more likely to survive (i.e., maintain a macroscopic, connected component) when some of the polymers are randomly degraded. We consider the distribution $p(σ)$ of the number of polymers between a pair of droplets, and show that gel immunity decreases as the variance of $p(σ)$ increases. Repulsive interactions between the polymers decrease the variance, while attractive interactions increase the variance, and may result in a bimodal $p(σ)$.
dc.descriptionCorrected typos
dc.identifierhttps://arxiv.org/abs/cond-mat/0509537
dc.identifierhttp://arxiv.org/abs/cond-mat/0509537
dc.identifierEur. Phys. J. E 19, 69-76 (2006)
dc.identifierdoi:10.1140/epje/e2006-00010-y
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101811
dc.subjectSoft Condensed Matter
dc.titleThe Immunity of Polymer-Microemulsion Networks
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