scholarly journals The Drude‐Smith Equation and Related Equations for the Frequency‐Dependent Electrical Conductivity of Materials: Insight from a Memory Function Formalism

ChemPhysChem ◽  
2021 ◽  
Vol 22 (16) ◽  
pp. 1656-1657
Author(s):  
Wei‐Chen Chen ◽  
Rudolph A. Marcus
Keyword(s):  
Electrical Conductivity ◽  
Memory Function ◽  
Frequency Dependent ◽  
Function Formalism

The Application of the Memory-Function Formalism to Dielectric Relaxation

1980 ◽  
Vol 35 (11) ◽  
pp. 1207-1217
Author(s):  
P. Bordewijk
Keyword(s):  
Correlation Function ◽  
Dielectric Relaxation ◽  
Single Molecule ◽  
Rotational Diffusion ◽  
Memory Function ◽  
Dielectric Relaxation Time ◽  
Function Formalism ◽  
Correlation Theorem ◽  
Dipole Correlation ◽  
Rotational Diffusion Coefficient

Abstract The application of the memory-function formalism to dielectric relaxation is reconsidered. It is shown that the so-called Corresponding Micro-Macro Correlation theorem is not valid and that for a single macroscopic dielectric relaxation time, the single-molecule dipole correlation function may nevertheless be non-exponential. The deviations from the exponential decay for the single-molecule dipole correlation function are due to spatially dependent orientational correlations, and can at least partly be interpreted in terms of dielectric friction. The unsureness about these correlations implies that it is simpler to determine the rotational diffusion coefficient from the collective orientation correlation time as determined from dielectric measurements than from the single-molecule dipole correlation function as obtained from infrared spectroscopy.

Frequency-dependent electrical conductivity of nanocrystalline SnO2

2013 ◽  
Vol 49 (10) ◽  
pp. 1000-1004 ◽  
Author(s):  
A. S. Chizhov ◽  
M. N. Rumyantseva ◽  
A. M. Gaskov
Keyword(s):  
Electrical Conductivity ◽  
Frequency Dependent

On the electrical conductivity of semiclassical two-component plasmas

2002 ◽  
Vol 68 (2) ◽  
pp. 81-86 ◽  
Author(s):  
YU. V. ARKHIPOV ◽  
F. B. BAIMBETOV ◽  
A. E. DAVLETOV ◽  
K. V. STARIKOV
Keyword(s):  
Electrical Conductivity ◽  
Hydrogen Plasma ◽  
Memory Function ◽  
Analytical Formula ◽  
Approximate Expression ◽  
Quantum Mechanical ◽  
Kubo Formula ◽  
Polarization Effects ◽  
Physical Evidence ◽  
Coulomb Logarithm

Starting from a memory-function formalism coupled with the Green– Kubo formula and an approximate expression for the generalized Coulomb logarithm, the electric conductivity of a dense high-temperature hydrogen plasma is studied. A pseudopotential model, taking account of short-range quantum effects and long-range screening-field effects, is employed to include quantum mechanical and polarization effects. An analytical formula for the Coulomb logarithm is proposed when the thermal de Broglie wavelengths are rather smaller than the Debye radius. A minimum in the curve of electrical conductivity is found and some physical evidence for its appearance is produced.

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