Aging-induced continuous phase transition

被引:27
作者
Artime, Oriol [1 ]
Peralta, Antonio F. [1 ]
Toral, Raul [1 ]
Ramasco, Jose J. [1 ]
San Miguel, Maxi [1 ]
机构
[1] UIB, CSIC, IFISC, Campus UIB, Palma De Mallorca 07122, Spain
关键词
NOISE-INDUCED BISTABILITY; THERMAL-DEGRADATION; MODEL; COMPETITION; NETWORKS; DYNAMICS; PHYSICS;
D O I
10.1103/PhysRevE.98.032104
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
Aging is considered as the property of the elements of a system to be less prone to change states as they get older. We incorporate aging into the noisy voter model, a stochastic model in which the agents modify their binary state by means of noise and pairwise interactions. Interestingly, due to aging the system passes from a finite-size discontinuous transition between ordered (ferromagnetic) and disordered (paramagnetic) phases to a second order phase transition, well defined in the thermodynamic limit, belonging to the Ising universality class. We characterize it analytically by finding the stationary solution of an infinite set of mean field equations. The theoretical predictions are tested with extensive numerical simulations in low dimensional lattices and complex networks. We finally employ the aging properties to understand the symmetries broken in the phase transition.
引用
收藏
页数:7
相关论文
共 48 条
[1]   Linguistics - Modelling the dynamics of language death [J].
Abrams, DM ;
Strogatz, SH .
NATURE, 2003, 424 (6951) :900-900
[2]   Time variation of higher moments in a financial market with heterogeneous agents: An analytical approach [J].
Alfarano, Simone ;
Lux, Thomas ;
Wagner, Friedrich .
JOURNAL OF ECONOMIC DYNAMICS & CONTROL, 2008, 32 (01) :101-136
[3]  
[Anonymous], THEORETICAL MATH PHY
[4]  
[Anonymous], 2008, MODELING INFECT DIS, DOI DOI 10.1515/9781400841035
[5]  
Artime O., ARXIV180500053
[6]   Joint effect of ageing and multilayer structure prevents ordering in the voter model [J].
Artime, Oriol ;
Fernandez-Gracia, Juan ;
Ramasco, Jose J. ;
San Miguel, Maxi .
SCIENTIFIC REPORTS, 2017, 7
[7]   Dynamics on networks: competition of temporal and topological correlations [J].
Artime, Oriol ;
Ramasco, Jose J. ;
San Miguel, Maxi .
SCIENTIFIC REPORTS, 2017, 7
[8]   Phenomenological theory of mortality [J].
Azbel, MY .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1997, 288 (1-6) :545-574
[9]   Unitary mortality law and species-specific age [J].
Azbel, MY .
PROCEEDINGS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES, 1996, 263 (1376) :1449-1454
[10]  
Baxter Rodney J, 2016, EXACTLY SOLVED MODEL