scholarly journals Monte Carlo simulation of the solid to superliquid phase transition of Langmuir monolayers. II. Characteristics of phase transition

1997 ◽  
Vol 106 (5) ◽  
pp. 1961-1966 ◽  
Author(s):  
M. D. Gibson ◽  
D. R. Swanson ◽  
C. J. Eckhardt ◽  
X. C. Zeng
Keyword(s):  
Phase Transition ◽  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Langmuir Monolayers

Critical exponents and the universality class of a minesweeper percolation model

2020 ◽  
Vol 31 (09) ◽  
pp. 2050129
Author(s):  
Yuqi Qing ◽  
Wen-Long You ◽  
Maoxin Liu
Keyword(s):  
Phase Transition ◽  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Critical Exponents ◽  
Critical Density ◽  
Universality Class ◽  
Percolation Model ◽  
System Configuration ◽  
Percolation Transition ◽  
Second Order Phase Transition

We introduce a minesweeper percolation model, in which the system configuration is obtained via an automatic minesweeper process. For a variety of candidate networks with different lattice configurations, our process gives rise to a second-order phase transition. Using Monte Carlo simulation, we identify the critical points implied by giant components. A set of critical exponents are extracted to characterize the nature of the minesweeper percolation transition. The determined universality class shows a clear difference from the traditional percolation transition. A proper mine density of the minesweeper game should be set around the critical density.

Monte Carlo simulation of a binary mixture on the surface of a sphere: lateral phase transition and pattern formation

2010 ◽  
Vol 108 (10) ◽  
pp. 1329-1335 ◽  
Author(s):  
Ariel G. Meyra ◽  
Guillermo J. Zarragoicoechea ◽  
Victor A. Kuz
Keyword(s):  
Phase Transition ◽  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Pattern Formation ◽  
Binary Mixture

The ferroelectric properties of Cd2Nb2O7: a Monte Carlo simulation study

2011 ◽  
Vol 44 (3) ◽  
pp. 585-594 ◽  
Author(s):  
T. Malcherek
Keyword(s):  
Phase Transition ◽  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Transition Temperature ◽  
Soft Mode ◽  
Ferroelectric Properties ◽  
Low Frequency ◽  
Frequency Dispersion ◽  
Monte Carlo Simulation Study ◽  
First Order Phase Transition

The order–disorder contributions to the ferroelectric properties of Cd2Nb2O7(CNO) have been studied by Monte Carlo simulation of a 12-state modified Potts model on the pyrochlore lattice. Spin configurations obtained by these simulations are mapped to local Nb displacements. Secondary Cd displacements normal to the Nb displacement directions are considered as well. The model correctly reproduces diffuse scattering experimentally observed in CNO. A first-order phase transition is observed forkTp/J= 0.3891 (kis the Boltzmann constant,Tpis the model phase transition temperature andJis the interaction energy). To further adapt the model to the properties of CNO, coupling of local Nb displacements to theT2usoft mode is simulatedviathe addition of an appropriate field term in the model Hamiltonian. The critical temperatureTcof the soft mode is scaled tokTc/J= 0.3704. Similarities to experimental observations,i.e.the occurrence of stable domains with {100} boundaries, as well as spontaneous polarization along the cubic 〈100〉 and 〈110〉 directions, indicate thatTpcan be associated with the transition temperatureT1= 205 K in CNO. Frequency dispersion of the dielectric permittivity of CNO can be attributed to the low-frequency switching of correlated chains of Nb displacement that remain partially disordered in the temperature range between 195 and ∼100 K.

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