Equilibrium phases and phase transitions in multicritical magnetic polymers

Fuente: arXiv
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Autori principali: Raiola, Alberto, Locatelli, Emanuele, Marenduzzo, Davide, Orlandini, and Enzo
Natura: Preprint
Pubblicazione: 2025
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author Raiola, Alberto
Locatelli, Emanuele
Marenduzzo, Davide
Orlandini, and Enzo
author_facet Raiola, Alberto
Locatelli, Emanuele
Marenduzzo, Davide
Orlandini, and Enzo
contents Magnetic polymers are examples of composite soft materials in which the competition between the large configurational entropy of the soft substrate (polymer) and the magnetic interaction may give rise to rich equilibrium phase diagrams as well as non-standard critical phenomena. Here, we study a self-avoiding walk model decorated by Ising spins of value $0$ and $\pm 1$ that interact according to a Blume-Emery-Griffith-like Hamiltonian. By using mean-field approximations and Monte Carlo simulations, we report the existence of three distinct equilibrium phases: swollen disordered, compact ordered, and compact disordered. Notably, these phases are separated by phase boundaries that meet at multicritical points, whose nature and location are tunable and depend on the strength of the interactions. In our conclusion, we discuss the relevance of the phase diagrams we have obtained to the physics of magnetic polymers and their application to chromatin biophysics.
format Preprint
id arxiv_https___arxiv_org_abs_2503_05616
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Equilibrium phases and phase transitions in multicritical magnetic polymers
Raiola, Alberto
Locatelli, Emanuele
Marenduzzo, Davide
Orlandini, and Enzo
Soft Condensed Matter
Statistical Mechanics
Magnetic polymers are examples of composite soft materials in which the competition between the large configurational entropy of the soft substrate (polymer) and the magnetic interaction may give rise to rich equilibrium phase diagrams as well as non-standard critical phenomena. Here, we study a self-avoiding walk model decorated by Ising spins of value $0$ and $\pm 1$ that interact according to a Blume-Emery-Griffith-like Hamiltonian. By using mean-field approximations and Monte Carlo simulations, we report the existence of three distinct equilibrium phases: swollen disordered, compact ordered, and compact disordered. Notably, these phases are separated by phase boundaries that meet at multicritical points, whose nature and location are tunable and depend on the strength of the interactions. In our conclusion, we discuss the relevance of the phase diagrams we have obtained to the physics of magnetic polymers and their application to chromatin biophysics.
title Equilibrium phases and phase transitions in multicritical magnetic polymers
topic Soft Condensed Matter
Statistical Mechanics
url https://arxiv.org/abs/2503.05616