TY - JOUR
T1 - Fractal Fluctuations at Mixed-Order Transitions in Interdependent Networks
AU - Gross, Bnaya
AU - Bonamassa, Ivan
AU - Havlin, Shlomo
N1 - Publisher Copyright:
© 2022 American Physical Society.
PY - 2022/12/23
Y1 - 2022/12/23
N2 - We study the critical features of the order parameter's fluctuations near the threshold of mixed-order phase transitions in randomly interdependent spatial networks. Remarkably, we find that although the structure of the order parameter is not scale invariant, its fluctuations are fractal up to a well-defined correlation length ζ′ that diverges when approaching the mixed-order transition threshold. We characterize the self-similar nature of these critical fluctuations through their effective fractal dimension df′=3d/4, and correlation length exponent ν′=2/d, where d is the dimension of the system. By analyzing percolation and magnetization, we demonstrate that df′ and ν′ are the same for both, i.e., independent of the symmetry of the process for any d of the underlying networks.
AB - We study the critical features of the order parameter's fluctuations near the threshold of mixed-order phase transitions in randomly interdependent spatial networks. Remarkably, we find that although the structure of the order parameter is not scale invariant, its fluctuations are fractal up to a well-defined correlation length ζ′ that diverges when approaching the mixed-order transition threshold. We characterize the self-similar nature of these critical fluctuations through their effective fractal dimension df′=3d/4, and correlation length exponent ν′=2/d, where d is the dimension of the system. By analyzing percolation and magnetization, we demonstrate that df′ and ν′ are the same for both, i.e., independent of the symmetry of the process for any d of the underlying networks.
UR - http://www.scopus.com/inward/record.url?scp=85144610518&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.129.268301
DO - 10.1103/PhysRevLett.129.268301
M3 - Article
C2 - 36608183
AN - SCOPUS:85144610518
SN - 0031-9007
VL - 129
JO - Physical Review Letters
JF - Physical Review Letters
IS - 26
M1 - 268301
ER -