Abstract
Hydrodynamical fluctuations of the electron gas are the low-frequency and long-range stochastic excitations over steady state of the system. These fluctuations are responsible for the set of the physical phenomena which occur for both equilibrium and nonequilibrium conditions (for example, the current noises, the light scattering, etc.). We investigate the hot electron plasma that can be characterized by two time parameters - the electric charge decay time {tau}{sub M} and the electron energy relaxation time {tau}{sub T}. Our consideration is based on the Boltzmann-Langevin kinetic equation for the fluctuations of the electron distribution function {delta}F. The solution of this equation is found under typical criteria for the hot electron plasma: {tau}{sub p} much less than {tau}{sub ee} much less than {tau}{sub e}, where {tau}{sub p}, {tau}{sub e} are the times of relaxation of the momentum and energy of the electrons, {tau}{sub ee} is the electron-electron scattering time. It is shown that the fluctuation {delta}F can be expressed via the two fluctuating parameters: {delta}n({omega}, q), {delta}T({omega}, q) and via the initial steady state distribution function. For them the hydrodynamic equations are deduced and as a result, the following correlation functions are calculated: < {delta}n{delta}n > {sub {omega},q,} < {delta}T{delta}T >{sub {omega},q},
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Citation Formats
Zakhleniuk, N A, and Kochelap, V A.
Hydrodynamic fluctuations and light scattering in hot electron gas of semiconductors.
IAEA: N. p.,
1991.
Web.
Zakhleniuk, N A, & Kochelap, V A.
Hydrodynamic fluctuations and light scattering in hot electron gas of semiconductors.
IAEA.
Zakhleniuk, N A, and Kochelap, V A.
1991.
"Hydrodynamic fluctuations and light scattering in hot electron gas of semiconductors."
IAEA.
@misc{etde_10135673,
title = {Hydrodynamic fluctuations and light scattering in hot electron gas of semiconductors}
author = {Zakhleniuk, N A, and Kochelap, V A}
abstractNote = {Hydrodynamical fluctuations of the electron gas are the low-frequency and long-range stochastic excitations over steady state of the system. These fluctuations are responsible for the set of the physical phenomena which occur for both equilibrium and nonequilibrium conditions (for example, the current noises, the light scattering, etc.). We investigate the hot electron plasma that can be characterized by two time parameters - the electric charge decay time {tau}{sub M} and the electron energy relaxation time {tau}{sub T}. Our consideration is based on the Boltzmann-Langevin kinetic equation for the fluctuations of the electron distribution function {delta}F. The solution of this equation is found under typical criteria for the hot electron plasma: {tau}{sub p} much less than {tau}{sub ee} much less than {tau}{sub e}, where {tau}{sub p}, {tau}{sub e} are the times of relaxation of the momentum and energy of the electrons, {tau}{sub ee} is the electron-electron scattering time. It is shown that the fluctuation {delta}F can be expressed via the two fluctuating parameters: {delta}n({omega}, q), {delta}T({omega}, q) and via the initial steady state distribution function. For them the hydrodynamic equations are deduced and as a result, the following correlation functions are calculated: < {delta}n{delta}n > {sub {omega},q,} < {delta}T{delta}T >{sub {omega},q}, < {delta}n{delta}T >{sub {omega},q}. The analysis of these correlators shows the next features of the general results which are not restricted by above criteria: i. There are cross-over correlations of {delta}n and {delta}T, that mean the mutual influence of the electron density fluctuations and their temperature. ii. The time and space dependences of the fluctuations strongly differ from that under the above mentioned limits. The above results are applied to the calculation of the light scattering by the electron plasma fluctuations. It is shown that the (Abstract Truncated)}
place = {IAEA}
year = {1991}
month = {Oct}
}
title = {Hydrodynamic fluctuations and light scattering in hot electron gas of semiconductors}
author = {Zakhleniuk, N A, and Kochelap, V A}
abstractNote = {Hydrodynamical fluctuations of the electron gas are the low-frequency and long-range stochastic excitations over steady state of the system. These fluctuations are responsible for the set of the physical phenomena which occur for both equilibrium and nonequilibrium conditions (for example, the current noises, the light scattering, etc.). We investigate the hot electron plasma that can be characterized by two time parameters - the electric charge decay time {tau}{sub M} and the electron energy relaxation time {tau}{sub T}. Our consideration is based on the Boltzmann-Langevin kinetic equation for the fluctuations of the electron distribution function {delta}F. The solution of this equation is found under typical criteria for the hot electron plasma: {tau}{sub p} much less than {tau}{sub ee} much less than {tau}{sub e}, where {tau}{sub p}, {tau}{sub e} are the times of relaxation of the momentum and energy of the electrons, {tau}{sub ee} is the electron-electron scattering time. It is shown that the fluctuation {delta}F can be expressed via the two fluctuating parameters: {delta}n({omega}, q), {delta}T({omega}, q) and via the initial steady state distribution function. For them the hydrodynamic equations are deduced and as a result, the following correlation functions are calculated: < {delta}n{delta}n > {sub {omega},q,} < {delta}T{delta}T >{sub {omega},q}, < {delta}n{delta}T >{sub {omega},q}. The analysis of these correlators shows the next features of the general results which are not restricted by above criteria: i. There are cross-over correlations of {delta}n and {delta}T, that mean the mutual influence of the electron density fluctuations and their temperature. ii. The time and space dependences of the fluctuations strongly differ from that under the above mentioned limits. The above results are applied to the calculation of the light scattering by the electron plasma fluctuations. It is shown that the (Abstract Truncated)}
place = {IAEA}
year = {1991}
month = {Oct}
}