Critical exponents of isotropic-hexatic phase transition in the hard-disk system

2004 ◽  
Vol 69 (4) ◽  
Author(s):  
Hiroshi Watanabe ◽  
Satoshi Yukawa ◽  
Yukiyasu Ozeki ◽  
Nobuyasu Ito
Keyword(s):  
Phase Transition ◽  
Critical Exponents ◽  
Hard Disk ◽  
Disk System ◽  
Hexatic Phase

Study of the hard-disk system at high densities: the fluid-hexatic phase transition

2018 ◽  
Vol 148 (23) ◽  
pp. 234502 ◽  
Author(s):  
Luis Mier-y-Terán ◽  
Brian Ignacio Machorro-Martínez ◽  
Gustavo A. Chapela ◽  
Fernando del Río
Keyword(s):  
Phase Transition ◽  
Hard Disk ◽  
Disk System ◽  
Hexatic Phase

scholarly journals Kosterlitz-Thouless-type caging-uncaging transition in a quasi-one-dimensional hard disk system

2020 ◽  
Vol 2 (3) ◽  
Author(s):  
A. Huerta ◽  
T. Bryk ◽  
V. M. Pergamenshchik ◽  
A. Trokhymchuk
Keyword(s):  
Hard Disk ◽  
Disk System ◽  
One Dimensional

scholarly journals Phase Transition in Dynamical Systems: Defining Classes of Universality for Two-Dimensional Hamiltonian Mappings via Critical Exponents

2009 ◽  
Vol 2009 ◽  
pp. 1-22 ◽  
Author(s):  
Edson D. Leonel
Keyword(s):  
Phase Transition ◽  
Critical Exponents ◽  
Scaling Laws ◽  
Scaling Function ◽  
Initial Conditions ◽  
Invariant Tori ◽  
Dynamical Variable ◽  
Two Dimensional ◽  
Control Parameters ◽  
Average Value

A phase transition from integrability to nonintegrability in two-dimensional Hamiltonian mappings is described and characterized in terms of scaling arguments. The mappings considered produce a mixed structure in the phase space in the sense that, depending on the combination of the control parameters and initial conditions, KAM islands which are surrounded by chaotic seas that are limited by invariant tori are observed. Some dynamical properties for the largest component of the chaotic sea are obtained and described in terms of the control parameters. The average value and the deviation of the average value for chaotic components of a dynamical variable are described in terms of scaling laws, therefore critical exponents characterizing a scaling function that describes a phase transition are obtained and then classes of universality are characterized. The three models considered are: The Fermi-Ulam accelerator model, a periodically corrugate waveguide, and variant of the standard nontwist map.

scholarly journals Stochastic Geometry and Hard-Disk System

1973 ◽  
Vol 49 (3) ◽  
pp. 1044-1045
Author(s):  
Tohru Ogawa ◽  
Masaharu Tanemura
Keyword(s):  
Stochastic Geometry ◽  
Hard Disk ◽  
Disk System

scholarly journals Analysis based on scaling relations of critical behaviour at PM–FM phase transition and universal curve of magnetocaloric effect in selected Ag-doped manganites

RSC Advances ◽  
2018 ◽  
Vol 8 (33) ◽  
pp. 18294-18307 ◽  
Author(s):  
S. Tarhouni ◽  
R. M'nassri ◽  
A. Mleiki ◽  
W. Cheikhrouhou-Koubaa ◽  
A. Cheikhrouhou ◽  
...  
Keyword(s):  
Phase Transition ◽  
Heat Capacity ◽  
Magnetocaloric Effect ◽  
Critical Exponents ◽  
Critical Behaviour ◽  
Scaling Relations ◽  
Universal Curve ◽  
Magnetic Entropy ◽  
Heat Capacity Changes ◽  
Doped Manganites

The universal curves of magnetic entropy changes and heat capacity changes for Pr0.5Sr0.5−xAgxMnO3 (0 ≤ x ≤ 0.2) are obtained by using the critical exponents.

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.

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