Stickiness in the order parameter time-series as a signature of criticality

Y.F. Contoyiannis, S.M. Potirakis and F.K. Diakonos

Physica A: Statistical Mechanics and its Applications, 2020, vol. 544, issue C

Abstract: We show that, in continuous phase transitions, the order parameter fluctuations in time, are characterized by a resonant phenomenon, occurring whenever a physical system enters in a critical region. It is realized in the mean waiting time 〈λ〉 of the order parameter time-series, in the immediate neighbourhood of its equilibrium (mean) value. By varying the control parameter within the critical region, 〈λ〉 becomes maximum at the critical point. To illustrate this resonant behaviour, we first use simulated data of the 3D ferromagnetic Ising model. Subsequently, we demonstrate the universality of this phenomenon in experimental voltage drop across the resistor data of a driven resistor–inductor–diode circuit for different driving frequencies. The latter has been recently shown (Potirakis et al., 2017) to act as the order parameter of a continuous transition from normal rectifier phase, in the low frequency regime, to a full-wave conducting, capacitor-like phase at high frequencies. Using a simple phenomenological ansatz for the waiting time distribution within the critical region, we gain some insight to the emergence of the critical resonance, achieving at the same time a semi-quantitative description.

Keywords: Criticality; Order parameter time-series; Waiting time distribution (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:544:y:2020:i:c:s0378437119319570

DOI: 10.1016/j.physa.2019.123508

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