caa a22 4500 445391391 CHVBK 20180317143047.0 cr unu---uuuuu 170323e20110901xx s 000 0 eng 10.1007/s10955-011-0280-1 doi (NATIONALLICENCE)springer-10.1007/s10955-011-0280-1 Charged Polymers in the Attractive Regime: A First-Order Transition from Brownian Scaling to Four-Point Localization [Elektronische Daten] [Yueyun Hu, Davar Khoshnevisan, Marc Wouts] We study a quenched charged-polymer model, introduced by Garel and Orland in 1988 (Europhys. Lett. 6(7):597-601, 1988; Europhys. Lett. 6(4):307-310, 1988), that reproduces the folding/unfolding transition of biopolymers. We prove that, below the critical inverse temperature, the polymer is delocalized in the sense that: (1) the rescaled trajectory of the polymer converges to the Brownian path; and (2) the partition function remains bounded. At the critical inverse temperature, we show that the maximum time spent at points jumps discontinuously from 0 to a positive fraction of the number of monomers, in the limit as the number of monomers tends to infinity. Finally, when the inverse temperature is large, we prove that the polymer collapses in the sense that a large fraction of its monomers live on four adjacent positions, and its diameter grows only logarithmically with the number of the monomers. Our methods also provide some insight into the annealed phase transition and at the transition due to a pulling force; both phase transitions are shown to be discontinuous. Springer Science+Business Media, LLC, 2011 Charged polymers nationallicence Quenched measure nationallicence Annealed measure nationallicence Localization-delocalization transition nationallicence First-order phase transition nationallicence Hu Yueyun Département de Mathématiques, Université Paris XIII, 99 avenue J.-B. Clément, 93430, Villetaneuse, France aut Khoshnevisan Davar Department of Mathematics, University of Utah, 155 South 1440 East, JWB 233, 84112-0090, Salt Lake City, UT, USA aut Wouts Marc Département de Mathématiques, Université Paris XIII, 99 avenue J.-B. Clément, 93430, Villetaneuse, France aut Journal of Statistical Physics Springer US; http://www.springer-ny.com 144/5(2011-09-01), 948-977 0022-4715 144:5<948 2011 144 10955 https://doi.org/10.1007/s10955-011-0280-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-011-0280-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Hu Yueyun Département de Mathématiques, Université Paris XIII, 99 avenue J.-B. Clément, 93430, Villetaneuse, France aut NATIONALLICENCE 700 1- Khoshnevisan Davar Department of Mathematics, University of Utah, 155 South 1440 East, JWB 233, 84112-0090, Salt Lake City, UT, USA aut NATIONALLICENCE 700 1- Wouts Marc Département de Mathématiques, Université Paris XIII, 99 avenue J.-B. Clément, 93430, Villetaneuse, France aut NATIONALLICENCE 773 0- Journal of Statistical Physics Springer US; http://www.springer-ny.com 144/5(2011-09-01), 948-977 0022-4715 144:5<948 2011 144 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer