PMID: 11909102Mar 23, 2002Paper

Stretched polymers in a poor solvent

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Peter Grassberger, Hsiao-Ping Hsu

Abstract

Stretched polymers with attractive interaction are studied in two and three dimensions. They are described by biased self-avoiding random walks with nearest-neighbor attraction. The bias corresponds to opposite forces applied to the first and last monomers. We show that both in d=2 and d=3 a phase transition occurs as this force is increased beyond a critical value, where the polymer changes from a collapsed globule to a stretched configuration. This transition is second order in d=2 and first order in d=3. For d=2 we predict the transition point quantitatively from properties of the unstretched polymer. This is not possible in d=3, but even there we can estimate the transition point precisely, and we can study the scaling at temperatures slightly below the collapse temperature of the unstretched polymer. We find very large finite size corrections that would make very difficult the estimate of the transition point from straightforward simulations.

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Citations

Mar 22, 2013·The Journal of Chemical Physics·Himadri S Samanta, D Thirumalai
Apr 2, 2008·The Journal of Chemical Physics·Jie ZhouHaijun Zhou
Sep 23, 2014·The Journal of Chemical Physics·Jutta Luettmer-Strathmann, Kurt Binder
Nov 17, 2015·The Journal of Chemical Physics·Samuel Bell, Eugene M Terentjev
Dec 20, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·P Leoni, C Vanderzande
Aug 25, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Marek CieplakMark O Robbins
Oct 14, 2004·The European Physical Journal. E, Soft Matter·D MarenduzzoF Seno
Dec 13, 2006·Physical Review Letters·Haijun ZhouSanjay Kumar
Nov 9, 2017·Scientific Reports·D MichielettoD Marenduzzo
Jan 23, 2020·Physical Review. E·Kyosuke Adachi, Kyogo Kawaguchi
Apr 12, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A L Owczarek, T Prellberg
Jul 16, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M Baiesi, E Orlandini
Apr 28, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·J KrawczykS Kumar
Jun 6, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A RosaF Seno
Dec 31, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Sanjay Kumar, Debaprasad Giri
Apr 7, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Viktoria Blavatska, Wolfhard Janke
Aug 8, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Pui-Man LamJie Zhou
Nov 22, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Thomas Frisch, Alberto Verga
Aug 25, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Franck CelestiniXabier Oyharcabal
Mar 14, 2003·Physical Review Letters·D MarenduzzoF Seno

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