Conduction mechanisms and relaxation phenomena along with electronic transition of ZnO/ZnNb2O6/Nb2O5 composite

2021 ◽  
Author(s):  
G. Essalah ◽  
G. Leroy ◽  
J.C. Carru ◽  
B. Duponchel ◽  
M. Mascot ◽  
...  
Keyword(s):  
Electronic Transition ◽  
Relaxation Phenomena ◽  
Conduction Mechanisms

Relaxation Phenomena in Spin-glass Y20(Mn1-xFex)80 Amorphous Alloys

1999 ◽  
Vol 23 (1_2) ◽  
pp. 555-557
Author(s):  
M. Ohta ◽  
A. Fujita ◽  
K. Fukamichi ◽  
Y. Obi ◽  
H. Fujimori
Keyword(s):  
Spin Glass ◽  
Amorphous Alloys ◽  
Relaxation Phenomena

Modeling of capacitance relaxation phenomena in a malignant membrane

2009 ◽  
Author(s):  
T. K. Basak ◽  
K. Bhattacharya ◽  
S. Halder ◽  
S. Murugappan ◽  
V. Cyril Raj ◽  
...  
Keyword(s):  
Relaxation Phenomena

scholarly journals Non-Debye Relaxations: Two Types of Memories and Their Stieltjes Character

Mathematics ◽  
2021 ◽  
Vol 9 (5) ◽  
pp. 477
Author(s):  
Katarzyna Górska ◽  
Andrzej Horzela
Keyword(s):  
Stochastic Processes ◽  
Spectral Function ◽  
Evolution Equations ◽  
Memory Function ◽  
Relaxation Phenomena ◽  
Stieltjes Function ◽  
Infinitely Divisible ◽  
Spectral Functions ◽  
Debye Relaxation ◽  
Relaxation Functions

In this paper, we show that spectral functions relevant for commonly used models of the non-Debye relaxation are related to the Stieltjes functions supported on the positive semi-axis. Using only this property, it can be shown that the response and relaxation functions are non-negative. They are connected to each other and obey the time evolution provided by integral equations involving the memory function M(t), which is the Stieltjes function as well. This fact is also due to the Stieltjes character of the spectral function. Stochastic processes-based approach to the relaxation phenomena gives the possibility to identify the memory function M(t) with the Laplace (Lévy) exponent of some infinitely divisible stochastic processes and to introduce its partner memory k(t). Both memories are related by the Sonine equation and lead to equivalent evolution equations which may be freely interchanged in dependence of our knowledge on memories governing the process.

Sign in / Sign up

Export Citation Format

Share Document