Self-localization of directed polymers and oppressive population control

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dc.creatorNewman, T. J.
dc.creatorKolomeisky, Eugene B.
dc.date1999-11-08
dc.date.accessioned2026-07-07T03:15:01Z
dc.date.available2026-07-07T03:15:01Z
dc.descriptionWe construct a phenomenological theory of self-localization of directed polymers in d+1 dimensions. In d=1 we show that the polymer is always self-localized, whereas in d=2 there is a phase transition between localized and free states. We also map this system to a model of population dynamics with fixed total population. Our previous results translate to static and expanding population clusters, depending on the birth and death rates. A novel ``pseudo-travelling wave'' is observed in some sectors of parameter space.
dc.description4 pages, 2 figures, submitted to Physical Review Letters
dc.identifierhttps://arxiv.org/abs/cond-mat/9911112
dc.identifierhttp://arxiv.org/abs/cond-mat/9911112
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/29899
dc.subjectStatistical Mechanics
dc.subjectQuantitative Biology
dc.titleSelf-localization of directed polymers and oppressive population control
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