Oscillating hysteresis in the q -neighbor Ising model

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 92, Issue 5, 2015, Pages

  Jedrzejewski, Arkadiusz ^a   Chmiel, Anna ^a   Sznajd Weron, Katarzyna ^a  

^a WROCLAW UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

HYSTERESIS; ISING MODEL; METASTABLE PHASES; PROBABILITY DENSITY FUNCTION; SPIN DYNAMICS;

EFFECTIVE POTENTIALS; KINETIC ISING MODEL; METROPOLIS DYNAMICS; OSCILLATING BEHAVIOR; OSCILLATORY BEHAVIORS; PARAMAGNETIC PHASIS; PUZZLING PHENOMENA; TRANSITION PROBABILITIES;

TOPOLOGY;

EID: 84947273852     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.92.052105     Document Type: Article

References (27)

1. A. Bar and D. Mukamel, Mixed order transition and condensation in an exactly soluble one dimensional spin model, J. Stat. Mech. (2014) P11001. 10.1088/1742-5468/2014/11/P11001
2. M. E. Fisher, The theory of equilibrium critical phenomena, Rep. Prog. Phys. 30, 615 (1967). RPPHAG 0034-4885 10.1088/0034-4885/30/2/306
3. G. Jeager, The Ehrenfest classification of phase transitions: Introduction and evolution, Arch. Hist. Exact Sci. 53, 51 (1998). 0003-9519 10.1007/s004070050021
4. L. D. Landau, Phys. Z. Sow. 11, 26 545 (1937);
5. English Translation Collected Papers of L. D. Landau, edited by D. ter Haar, (Pergamon, Oxford, 1965), pp. 193-215.
6. L. P. Kadanoff, More is the Same; Phase Transitions and Mean Field Theories, J. Stat. Phys. 137, 777 (2009). JSTPBS 0022-4715 10.1007/s10955-009-9814-1
7. A. Bar and D. Mukamel, Mixed-Order Phase Transition in a One-Dimensional Model, Phys. Rev. Lett. 112, 015701 (2014). PRLTAO 0031-9007 10.1103/PhysRevLett.112.015701
8. M. Henkel, H. Hinrichsen, and S. Luebeck, Non-Equilibrium Phase Transitions (Springer, New York, 2008).
9. K. E. Bassler, W. Liu, B. Schmittmann, and R. K. P. Zia, Extreme Thouless effect in a minimal model of dynamic social networks, Phys. Rev. E 91, 042102 (2015). PLEEE8 1539-3755 10.1103/PhysRevE.91.042102
10. A. Lipowski, First-order transition with power-law singularity in models with absorbing states, Phys. Rev. E 62, 4401 (2000). 10.1103/PhysRevE.62.4401
11. G. Ódor, Universality classes in nonequilibrium lattice systems, Rev. Mod. Phys. 76, 663 (2004). RMPHAT 0034-6861 10.1103/RevModPhys.76.663
12. W. Liu, B. Schmittmann, and R. K. P. Zia, Extraordinary variability and sharp transitions in a maximally frustrated dynamic network, Europhys. Lett. 100, 66007 (2012). EULEEJ 0295-5075 10.1209/0295-5075/100/66007
13. M. Sheinman, A. Sharma, J. Alvarado, G. H. Koenderink, and F. C. MacKintosh, Anomalous Discontinuity at the Percolation Critical Point of Active Gels, Phys. Rev. Lett. 114, 098104 (2015). PRLTAO 0031-9007 10.1103/PhysRevLett.114.098104
14. D. J. Thouless, Long-Range Order in One-Dimensional Ising Systems, Phys. Rev. 187, 732 (1969). PHRVAO 0031-899X 10.1103/PhysRev.187.732
15. C. Castellano, M. A. Muñoz, and R. Pastor-Satorras, Nonlinear (Equation presented)-voter model, Phys. Rev. E 80, 041129 (2009). PLEEE8 1539-3755 10.1103/PhysRevE.80.041129
16. C. Godrèche and J. M. Luck, Metastability in zero-temperature dynamics: Statistics of attractors, J. Phys.: Condens. Matter 17, S2573 (2005). JCOMEL 0953-8984 10.1088/0953-8984/17/24/014
17. P. Nyczka and K. Sznajd-Weron, Anticonformity or Independence? -Insights from Statistical Physics, J. Stat. Phys. 151, 174 (2013). JSTPBS 0022-4715 10.1007/s10955-013-0701-4
18. V. Spirin, P. L. Krapivsky, and S. Redner, Freezing in Ising ferromagnets, Phys. Rev. E 65, 016119 (2001). 1063-651X 10.1103/PhysRevE.65.016119
19. J. Olejarz, P. L. Krapivsky, and S. Redner, Zero-temperature freezing in the three-dimensional kinetic Ising model, Phys. Rev. E 83, 030104 (2011). PLEEE8 1539-3755 10.1103/PhysRevE.83.030104
20. K. Sznajd-Weron, Metastabilities in the degenerated phase of the two-component model, Phys. Rev. E 72, 026109 (2005). PLEEE8 1539-3755 10.1103/PhysRevE.72.026109
21. P. Nyczka, K. Sznajd-Weron, and J. Cislo, Phase transitions in the (Equation presented)-voter model with two types of stochastic driving, Phys. Rev. E 86, 011105 (2012). PLEEE8 1539-3755 10.1103/PhysRevE.86.011105
22. P. L. Krapivsky, S. Redner, and E. Ben-Naim, A Kinetic View of Statistical Physics (Cambridge University Press, Cambridge, 2010).
23. M. Mobilia, Nonlinear (Equation presented)-voter model with inflexible zealots, Phys. Rev. E 92, 012803 (2015). PLEEE8 1539-3755 10.1103/PhysRevE.92.012803
24. P. Nyczka, K. Sznajd-Weron, and J. Cisło, Opinion dynamics as a movement in a bistable potential, Physica A 391, 317 (2012). PHYADX 0378-4371 10.1016/j.physa.2011.07.050
25. P. Grassberger, C. Christensen, G. Bizhani, S. Son, and M. Paczuski, Explosive Percolation is Continuous, but with Unusual Finite Size Behavior, Phys. Rev. Lett. 106, 225701 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.106.225701
26. G. Ódor and A. Szolnoki, Directed-percolation conjecture for cellular automata, Phys. Rev. E 53, 2231 (1996). 1063-651X 10.1103/PhysRevE.53.2231
27. N. Menyhárd and G. Ódor, Nonequilibrium kinetic Ising models: Phase transitions and universality classes in one dimension, Braz. J. Phys. 30, 113 (2000). 10.1590/S0103-97332000000100011