Monte-Carlo simulation of phase transition in the vortex system of high-temperature superconductors (A review)

1997 ◽  
Vol 23 (11) ◽  
pp. 863-870 ◽  
Author(s):  
M. E. Gracheva ◽  
M. V. Katargin ◽  
V. A. Kashurnikov ◽  
I. A. Rudnev
2000 ◽  
Vol 341-348 ◽  
pp. 1303-1304
Author(s):  
A.R. Price ◽  
S.J. Cox ◽  
H. Fangohr ◽  
P.A.J. de Groot

2020 ◽  
Vol 31 (09) ◽  
pp. 2050129
Author(s):  
Yuqi Qing ◽  
Wen-Long You ◽  
Maoxin Liu

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.


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