Anomalous structural transition of confined hard squares

Péter Gurin, S. Varga, Gerardo Odriozola

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

Structural transitions are examined in quasi-one-dimensional systems of freely rotating hard squares, which are confined between two parallel walls. We find two competing phases: one is a fluid where the squares have two sides parallel to the walls, while the second one is a solidlike structure with a zigzag arrangement of the squares. Using transfer matrix method we show that the configuration space consists of subspaces of fluidlike and solidlike phases, which are connected with low probability microstates of mixed structures. The existence of these connecting states makes the thermodynamic quantities continuous and precludes the possibility of a true phase transition. However, thermodynamic functions indicate strong tendency for the phase transition and our replica exchange Monte Carlo simulation study detects several important markers of the first order phase transition. The distinction of a phase transition from a structural change is practically impossible with simulations and experiments in such systems like the confined hard squares.

Original languageEnglish
Article number050603
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume94
Issue number5
DOIs
Publication statusPublished - Nov 28 2016

Fingerprint

Anomalous
Phase Transition
Thermodynamics
Transfer Matrix Method
Zigzag
First-order Phase Transition
One-dimensional System
Structural Change
Replica
thermodynamics
Configuration Space
Arrangement
Rotating
replicas
Monte Carlo Simulation
matrix methods
markers
Subspace
Simulation Study
tendencies

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Cite this

Anomalous structural transition of confined hard squares. / Gurin, Péter; Varga, S.; Odriozola, Gerardo.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 94, No. 5, 050603, 28.11.2016.

Research output: Contribution to journalArticle

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