Crossover from a hexatic phase to a single first-order transition in a Laplacian-roughening model for two-dimensional melting

1986 ◽  
Vol 34 (5) ◽  
pp. 3536-3539 ◽  
Author(s):  
Katherine J. Strandburg
Keyword(s):  
Order Transition ◽  
Two Dimensional ◽  
First Order ◽  
Hexatic Phase ◽  
First Order Transition

First-order transition in the dense two-dimensional classical Coulomb gas

1993 ◽  
Vol 48 (16) ◽  
pp. 12304-12307 ◽  
Author(s):  
Guang-Ming Zhang ◽  
Hong Chen ◽  
Xiang Wu
Keyword(s):  
Coulomb Gas ◽  
Order Transition ◽  
Two Dimensional ◽  
First Order ◽  
First Order Transition ◽  
Classical Coulomb Gas

scholarly journals Metal-to-Insulator Transitions in Strongly Correlated Regime

2018 ◽  
Vol 9 (1) ◽  
pp. 80
Author(s):  
Jian Huang ◽  
Loren Pfeiffer ◽  
Ken West
Keyword(s):  
Critical Behavior ◽  
Intermediate Phase ◽  
Insulator Transition ◽  
Order Transition ◽  
Strongly Correlated ◽  
Two Dimensional ◽  
First Order ◽  
Wigner Crystallization ◽  
Metal To Insulator Transition ◽  
First Order Transition

Transport results from measuring ultra-clean two-dimensional systems, containing tunable carrier densities from 7 × 10 8 cm − 2 to ∼ 1 × 10 10 cm − 2 , reveal a strongly correlated liquid up to r s ≈ 40 where a Wigner crystallization is anticipated. A critical behavior is identified in the proximity of the metal-to-insulator transition. The nonlinear DC responses for r s > 40 captures hard pinning modes that likely undergo a first order transition into an intermediate phase in the course of melting.

FIRST-ORDER TRANSITION, FINITE-ISOLATED SYSTEM AND MICROCANONICAL MONTE CARLO SIMULATIONS

2002 ◽  
Vol 16 (24) ◽  
pp. 3567-3572 ◽  
Author(s):  
SMITA OTA ◽  
SNEHADRI BIHARI OTA
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Spin Model ◽  
Order Transition ◽  
Microcanonical Ensemble ◽  
Two Dimensional ◽  
First Order ◽  
Equilibrium Response ◽  
First Order Transition

We have investigated the first-order transition in the classical two-dimensional (2D) extended XY-spin model using Monte Carlo simulations. The simulations have been carried out on a system with 100 spins in the microcanonical ensemble, which represents a finite-isolated system. The energy as a function of temperature is found to exhibit a 'S'-shape at the first-order transition. We conclude that the observed phenomena at the first-order transition should be interpreted as the equilibrium response of a finite-isolated system.

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