Randomly charged polymers: An exact enumeration study

Yacov Kantor*, Mehran Kardar

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

59 Scopus citations

Abstract

We perform an exact enumeration study of polymers formed from a (quenched) random sequence of charged monomers ±q0. Such polymers, known as polyampholytes, are compact when completely neutral and expanded when highly charged. Our exhaustive search includes all spatial conformations and quenched sequences for up to 12-step (13-site) walks. We investigate the behavior of the polymer as a function of its overall excess charge Q and temperature T. At low temperatures there is a phase transition from compact to extended configurations when the charge exceeds Qcq0/N. There are also indications of a transition for small Q between two compact states on varying temperature. Numerical estimates are provided for the condensation energy, surface tension, and the critical exponent ν.

Original languageEnglish
Pages (from-to)835-846
Number of pages12
JournalPhysical Review E
Volume52
Issue number1
DOIs
StatePublished - 1995

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