Abstract
Dynamical processes on complex networks, ranging from biological, technological and social systems, show phase transitions (PTs) between distinct global states of the system. Often, such transitions rely upon the interplay between the structure and dynamics that takes place on it, such that weak connectivity, either sparse network or frail interactions, might lead to global activity collapse, while strong connectivity leads to high activity. Here, we show that controlling dynamics of a fraction of the nodes in such systems acts as an external field in a continuous PT. As such, it defines corresponding critical exponents, both at equilibrium and of the transient time. We find the critical exponents for a general class of dynamics using the leading orders of the dynamic functions. By applying this framework to three examples, we reveal distinct universality classes.
| Original language | English |
|---|---|
| Article number | 023002 |
| Journal | New Journal of Physics |
| Volume | 25 |
| Issue number | 2 |
| DOIs | |
| State | Published - 1 Feb 2023 |
Bibliographical note
Publisher Copyright:© 2023 The Author(s). Published by IOP Publishing Ltd on behalf of the Institute of Physics and Deutsche Physikalische Gesellschaft.
Funding
H S acknowledges the support of the Presidential Fellowship of Bar-Ilan University, Israel, and the Mordecai and Monique Katz Graduate Fellowship Program. We thank the Israel Science Foundation, the Binational Israel-China Science Foundation (Grant No. 3132/19), the NSF-BSF (Grant No. 2019740), the EU H2020 project RISE (Project No. 821115), the EU H2020 DIT4TRAM, and DTRA (Grant No. HDTRA-1-19-1-0016) for financial support.
| Funders | Funder number |
|---|---|
| Binational Israel-China Science Foundation | 3132/19 |
| EU H2020 | 821115 |
| EU H2020 DIT4TRAM | HDTRA-1-19-1-0016 |
| NSF-BSF | 2019740 |
| Bar-Ilan University | |
| Israel Science Foundation |
Keywords
- complex networks
- critical exponents
- network dynamics
- phase transitions