FLUCTUATIONS IN NON-EQUILIBRIUM ELECTRON GAS: EFFECT OF QUANTUM STATISTICS

2010 ◽  
Vol 09 (04) ◽  
pp. 373-385 ◽  
Author(s):  
R. KATILIUS ◽  
S. V. GANTSEVICH ◽  
V. D. KAGAN ◽  
M. I. MURADOV
Keyword(s):  
Electron Gas ◽  
Time Correlation ◽  
Electron Interaction ◽  
Electron Collisions ◽  
Equal Time ◽  
Exchange Effects ◽  
Coulomb Type ◽  
Gas Effect ◽  
Kinetic Diagram ◽  
Non Equilibrium

Here we develop a mathematical apparatus to describe quasi-classical fluctuations in a non-equilibrium electron gas with electron-electron collisions. We substantiate the method by deriving, from general principles of quantum kinetics, an equation recently proposed by us for an equal-time electron-electron correlation function. The derivation is performed using the kinetic diagram technique. In degenerate non-equilibrium gas, the theory predicts that there exists a specific equal-time correlation between electrons. Due to the prevalence of small-angle electron-electron scattering, the equation in question takes a rather simple and treatable form (the Coulomb-type electron-electron interaction stands out against the background of all other types of interaction as one that does not generate, in the framework of quasi-classical approach, any direct exchange effects).

Statistical Mechanics of Thermotransport of a Heavy Impurity in an Insulating Solid

1971 ◽  
Vol 26 (1) ◽  
pp. 10-17 ◽  
Author(s):  
A. R. Allnatt
Keyword(s):  
Heat Flux ◽  
Time Correlation ◽  
Three Dimensions ◽  
Time Correlation Functions ◽  
Single Vacancy ◽  
One Dimensional ◽  
Enthalpy Of Activation ◽  
Heavy Impurity ◽  
The One ◽  
Non Equilibrium

AbstractA kinetic equation is derived for the singlet distribution function for a heavy impurity in a lattice of lighter atoms in a temperature gradient. In the one dimensional case the equation can be solved to find formal expressions for the jump probability and hence the heat of transport, q*. for a single vacancy jump of the impurity, q* is the sum of the enthalpy of activation, a term involving only averaging in an equilibrium ensemble, and two non-equilibrium terms in­volving time correlation functions. The most important non-equilibrium term concerns the cor­relation between the force on the impurity and a microscopic heat flux. A plausible extension to three dimensions is suggested and the relation to earlier isothermal and non-isothermal theories is indicated

scholarly journals PHYSICS OF GLUON HELICITY

2014 ◽  
Vol 25 ◽  
pp. 1460028
Author(s):  
XIANGDONG JI ◽  
YONG ZHAO
Keyword(s):  
Matrix Element ◽  
Time Correlation ◽  
Spin Operator ◽  
Large Momentum ◽  
Time Correlation Functions ◽  
Gauge Invariant ◽  
Equal Time ◽  
Polarized Proton ◽  
Gluon Spin ◽  
Gluon Helicity

The total gluon helicity in a polarized proton is shown to be a matrix element of a gauge-invariant but nonlocal, frame-dependent gluon spin operator [Formula: see text] in the large momentum limit. The operator [Formula: see text] is fit for the calculation of the total gluon helicity in lattice QCD. This calculation also implies that parton physics can be studied through the large momentum limit of frame-dependent, equal-time correlation functions of quarks and gluons.

Inhomogeneous electron gas at nonzero temperatures: Exchange effects

1980 ◽  
Vol 21 (6) ◽  
pp. 2064-2068 ◽  
Author(s):  
Uday Gupta ◽  
A. K. Rajagopal
Keyword(s):  
Electron Gas ◽  
Exchange Effects

Electron-electron interaction in a narrow, disordered electron gas in nonequilibrium

1997 ◽  
Vol 55 (7) ◽  
pp. 4061-4064 ◽  
Author(s):  
H. Linke ◽  
P. Omling ◽  
Hongqi Xu ◽  
P. E. Lindelof
Keyword(s):  
Electron Gas ◽  
Electron Interaction

MICROWAVE FLUCTUATIONS IN ELECTRON GAS WITH PAIR COLLISIONS

2001 ◽  
Vol 01 (01) ◽  
pp. R81-R100 ◽  
Author(s):  
R. KATILIUS ◽  
A. MATULIONIS
Keyword(s):  
Monte Carlo ◽  
Electric Fields ◽  
Monte Carlo Methods ◽  
Recent Progress ◽  
Electron Gas ◽  
Experimental Results ◽  
Hot Electron ◽  
Electron Collisions ◽  
Noise Characteristics ◽  
Microwave Noise

The paper overviews recent progress in the field of hot-electron microwave noise and fluctuations with an emphasis on contribution due to inter-electron collisions that are inevitable in doped semi-conductors at a relatively high density of mobile electrons. A special attention is paid to the problem of hot-electron diffusion in the range of electric fields where inter-electron collisions are important and Price's relation connecting diffusion and noise characteristics is not necessarily valid. The basic and up-to-date information is presented on methods and advances in the field where combined analytic and Monte Carlo methods of investigation are indispensable while seeking coherent understanding of experimental results.

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