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Condensed Matter > Statistical Mechanics
Title: Critical and geometric properties of magnetic polymers across the globule-coil transition
(Submitted on 25 Jul 2021 (v1), last revised 15 Nov 2021 (this version, v2))
Abstract: We study a lattice model of a single magnetic polymer chain, where Ising spins are located on the sites of a lattice self-avoiding walk in $d=2$. We consider the regime where both conformations and magnetic degrees of freedom are dynamic, thus the Ising model is defined on a dynamic lattice and conformations generate an annealed disorder. Using Monte Carlo simulations, we characterize the globule-coil and ferromaget-to-paramagnet transitions, which occur simultaneously at a critical value of the spin-spin coupling. We argue that the transition is continuous - in contrast to $d=3$ where it is first-order. Our results suggest that at the transition the metric exponent takes the theta-polymer value $\nu=4/7$ but the crossover exponent $\phi \approx 0.7$, which differs from the expected value for a $\theta$-polymer.
Submission history
From: Kamilla Faizullina [view email][v1] Sun, 25 Jul 2021 15:38:34 GMT (470kb,D)
[v2] Mon, 15 Nov 2021 09:32:40 GMT (929kb,D)
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