Sequence of phase transitions in a model of interacting rods - ESPCI Paris - École supérieure de physique et de chimie industrielles de la ville de Paris
Article Dans Une Revue Physical Review E Année : 2022

Sequence of phase transitions in a model of interacting rods

Juliane U Klamser
Tridib Sadhu

Résumé

In a system of interacting thin rigid rods of equal length 2 on a two-dimensional grid of lattice spacing a, we show that there are multiple phase transitions as the coupling strength κ = /a and the temperature are varied. There are essentially two classes of transitions. One corresponds to the Ising-type spontaneous symmetry breaking transition and the second belongs to less-studied phase transitions of geometrical origin. The latter class of transitions appear at fixed values of κ irrespective of the temperature, whereas the critical coupling for the spontaneous symmetry breaking transition depends on it. By varying the temperature, the phase boundaries may cross each other, leading to a rich phase behaviour with infinitely many phases. Our results are based on Monte Carlo simulations on the square lattice, and a fixed-point analysis of a functional flow equation on a Bethe lattice.
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Dates et versions

hal-04873358 , version 1 (08-01-2025)

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Juliane U Klamser, Tridib Sadhu, Deepak Dhar. Sequence of phase transitions in a model of interacting rods. Physical Review E , 2022, 106 (5), pp.L052101. ⟨10.1103/PhysRevE.106.L052101⟩. ⟨hal-04873358⟩
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