https://doi.org/10.1140/epjb/s10051-023-00588-x
Regular Article - Solid State and Materials
The temperature–frequency dependence of conductive random RC networks modelling heterogeneous/composite materials
LEPM, Faculté de Physique, USTO-MB, BP 1505, El M’Naouer, 31000, Oran, Algeria
a
ahmed.benyahia91@univ-usto.dz
Received:
27
March
2023
Accepted:
15
August
2023
Published online:
7
September
2023
The purpose of this study was to investigate the temperature’s effect on the dielectric response of 2D random RC networks (RRCNs) modelling heterogeneous/composite materials. We presented a comparative analysis for the conductivity behaviour using the modified effective medium approximation (EMA) and Franck and Lobb (FL) algorithm. We showed that the Summerfield frequency, the characteristic frequency 
of the conductivity and the loss frequency 
, all followed an Arrhenius dependence; they could be used as scaling frequencies. Using the loss frequency for different temperatures, we could represent each dielectric property in a master curve form. This latter exhibited a behaviour related to the time–temperature superposition principle (TTSP). We showed that the DC conductivity and exhibited the Barton–Nakajima–Namikawa (BNN) relationship 
for which 
as found in the literature, where 
is the dielectric loss strength. In addition, we showed that for capacitors’ proportion 
, random RC networks preserved their universal power-law (UPL) behaviour when the temperature was considered with a slight difference in the exponent value differing from the capacitors proportion. We found that the normalized conductivity and complex permittivity both scaled as 
and 
, respectively, reflecting the universal dielectric response (UDR).
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