scholarly journals Critical properties of deterministic and stochastic sandpile models on two-dimensional percolation backbone

2020 ◽  
Vol 548 ◽  
pp. 124318
Author(s):  
Himangsu Bhaumik ◽  
S.B. Santra
Keyword(s):  
Two Dimensional ◽  
Critical Properties ◽  
Sandpile Models

Effects of the repulsive and attractive forces on phase equilibrium and critical properties of two-dimensional non-conformal simple fluids

2021 ◽  
pp. 115234
Author(s):  
B. Ibarra-Tandi ◽  
J.A. Moreno-Razo ◽  
J. Munguía-Valadez ◽  
J. López-Lemus ◽  
M.A. Chávez-Rojo
Keyword(s):  
Phase Equilibrium ◽  
Two Dimensional ◽  
Critical Properties ◽  
Simple Fluids

Equilibrium and nonequilibrium models on solomon networks with two square lattices

2017 ◽  
Vol 28 (08) ◽  
pp. 1750099
Author(s):  
F. W. S. Lima
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Critical Exponent ◽  
Critical Points ◽  
Majority Vote ◽  
Universality Class ◽  
2D Systems ◽  
Two Dimensional ◽  
Critical Properties ◽  
Regular Lattices

We investigate the critical properties of the equilibrium and nonequilibrium two-dimensional (2D) systems on Solomon networks with both nearest and random neighbors. The equilibrium and nonequilibrium 2D systems studied here by Monte Carlo simulations are the Ising and Majority-vote 2D models, respectively. We calculate the critical points as well as the critical exponent ratios [Formula: see text], [Formula: see text], and [Formula: see text]. We find that numerically both systems present the same exponents on Solomon networks (2D) and are of different universality class than the regular 2D ferromagnetic model. Our results are in agreement with the Grinstein criterion for models with up and down symmetry on regular lattices.

scholarly journals Extra investigation of the self-organized critical Manna model at higher critical dimension

2021 ◽  
pp. 1-12
Author(s):  
Andrey Viktorovich Podlazov
Keyword(s):  
Power Law ◽  
Critical Dimension ◽  
The Self ◽  
Two Dimensional ◽  
Upper Critical Dimension ◽  
Self Organized ◽  
Logarithmic Corrections ◽  
Universal Indicator ◽  
Sandpile Models ◽  
Power Law Distributions

I investigate the nature of the upper critical dimension for isotropic conservative sandpile models and calculate the emerging logarithmic corrections to power-law distributions. I check the results experimentally using the case of Manna model with the theoretical solution known for all statement starting from the two-dimensional one. In addition, based on this solution, I construct a non-trivial super-universal indicator for this model. It characterizes the distribution of avalanches by time the border of their region needs to pass its width.

scholarly journals Critical properties of the two-dimensional q -state clock model

2020 ◽  
Vol 101 (6) ◽  
Author(s):  
Zi-Qian Li ◽  
Li-Ping Yang ◽  
Z. Y. Xie ◽  
Hong-Hao Tu ◽  
Hai-Jun Liao ◽  
...  
Keyword(s):  
Two Dimensional ◽  
Critical Properties ◽  
Clock Model

Critical properties of the quasi-two-dimensional metallic ferromagnet Fe2.85GeTe2

2018 ◽  
Vol 30 (34) ◽  
pp. 345802 ◽  
Author(s):  
Qianhui Mao ◽  
Bin Chen ◽  
Jinhu Yang ◽  
Yannan Zhang ◽  
Hangdong Wang ◽  
...  
Keyword(s):  
Two Dimensional ◽  
Critical Properties ◽  
Metallic Ferromagnet

scholarly journals Critical properties of the two-dimensional Z(5) vector model

2011 ◽  
Author(s):  
Gennaro Cortese ◽  
Oleg Borisenko ◽  
Roberto Fiore ◽  
Mario Gravina ◽  
Alessandro Papa
Keyword(s):  
Vector Model ◽  
Two Dimensional ◽  
Critical Properties
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