Energy Approach for Description of Electron Transport in Two-Dimensional Electron Systems
Abstract Hydrodynamic model of electron transport has long been used to describe various effects in an electron gas. Despite its rich history, the hydrodynamic model is mainly used to describe specific configurations of physical devices, leaving aside the general properties of electronic transport....
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Petrov, A. S. [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2023 |
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| Anmerkung: |
© Pleiades Publishing, Ltd. 2023. ISSN 1062-8738, Bulletin of the Russian Academy of Sciences: Physics, 2023, Vol. 87, Suppl. 3, pp. S433–S435. © Pleiades Publishing, Ltd., 2023. |
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| Übergeordnetes Werk: |
Enthalten in: Bulletin of the Russian Academy of Sciences - New York, NY : Allerton Press, 2007, 87(2023), Suppl 3 vom: Dez., Seite S433-S435 |
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| Übergeordnetes Werk: |
volume:87 ; year:2023 ; number:Suppl 3 ; month:12 ; pages:S433-S435 |
| Links: |
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| DOI / URN: |
10.1134/S1062873823705986 |
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| Katalog-ID: |
SPR055057233 |
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| 520 | |a Abstract Hydrodynamic model of electron transport has long been used to describe various effects in an electron gas. Despite its rich history, the hydrodynamic model is mainly used to describe specific configurations of physical devices, leaving aside the general properties of electronic transport. These properties are fundamentally different from the properties of a classical liquid since the electron ‘fluid’ is compressible and charged. Previously we developed an operator approach to the linearized equations of electron hydrodynamics using the example of a two-dimensional electron gas. This formalism aided at describing the magnetodispersion of sub-mm and terahertz plasma waves in various geometries and served as the basis for constructing a perturbation theory. In this work we construct a similar theory, isolating energy terms from non-linearized hydrodynamic equations. This approach allows to account for external particle sources, boundary terms or any kind of external force. As a demonstration of capabilities of the theory we derive an expression for an external drift-induced correction to plasmon frequency. | ||
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10.1134/S1062873823705986 doi (DE-627)SPR055057233 (SPR)S1062873823705986-e DE-627 ger DE-627 rakwb eng Petrov, A. S. verfasserin aut Energy Approach for Description of Electron Transport in Two-Dimensional Electron Systems 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Pleiades Publishing, Ltd. 2023. ISSN 1062-8738, Bulletin of the Russian Academy of Sciences: Physics, 2023, Vol. 87, Suppl. 3, pp. S433–S435. © Pleiades Publishing, Ltd., 2023. Abstract Hydrodynamic model of electron transport has long been used to describe various effects in an electron gas. Despite its rich history, the hydrodynamic model is mainly used to describe specific configurations of physical devices, leaving aside the general properties of electronic transport. These properties are fundamentally different from the properties of a classical liquid since the electron ‘fluid’ is compressible and charged. Previously we developed an operator approach to the linearized equations of electron hydrodynamics using the example of a two-dimensional electron gas. This formalism aided at describing the magnetodispersion of sub-mm and terahertz plasma waves in various geometries and served as the basis for constructing a perturbation theory. In this work we construct a similar theory, isolating energy terms from non-linearized hydrodynamic equations. This approach allows to account for external particle sources, boundary terms or any kind of external force. As a demonstration of capabilities of the theory we derive an expression for an external drift-induced correction to plasmon frequency. Enthalten in Bulletin of the Russian Academy of Sciences New York, NY : Allerton Press, 2007 87(2023), Suppl 3 vom: Dez., Seite S433-S435 (DE-627)556723872 (DE-600)2403169-0 1934-9432 nnns volume:87 year:2023 number:Suppl 3 month:12 pages:S433-S435 https://dx.doi.org/10.1134/S1062873823705986 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 87 2023 Suppl 3 12 S433-S435 |
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10.1134/S1062873823705986 doi (DE-627)SPR055057233 (SPR)S1062873823705986-e DE-627 ger DE-627 rakwb eng Petrov, A. S. verfasserin aut Energy Approach for Description of Electron Transport in Two-Dimensional Electron Systems 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Pleiades Publishing, Ltd. 2023. ISSN 1062-8738, Bulletin of the Russian Academy of Sciences: Physics, 2023, Vol. 87, Suppl. 3, pp. S433–S435. © Pleiades Publishing, Ltd., 2023. Abstract Hydrodynamic model of electron transport has long been used to describe various effects in an electron gas. Despite its rich history, the hydrodynamic model is mainly used to describe specific configurations of physical devices, leaving aside the general properties of electronic transport. These properties are fundamentally different from the properties of a classical liquid since the electron ‘fluid’ is compressible and charged. Previously we developed an operator approach to the linearized equations of electron hydrodynamics using the example of a two-dimensional electron gas. This formalism aided at describing the magnetodispersion of sub-mm and terahertz plasma waves in various geometries and served as the basis for constructing a perturbation theory. In this work we construct a similar theory, isolating energy terms from non-linearized hydrodynamic equations. This approach allows to account for external particle sources, boundary terms or any kind of external force. As a demonstration of capabilities of the theory we derive an expression for an external drift-induced correction to plasmon frequency. Enthalten in Bulletin of the Russian Academy of Sciences New York, NY : Allerton Press, 2007 87(2023), Suppl 3 vom: Dez., Seite S433-S435 (DE-627)556723872 (DE-600)2403169-0 1934-9432 nnns volume:87 year:2023 number:Suppl 3 month:12 pages:S433-S435 https://dx.doi.org/10.1134/S1062873823705986 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 87 2023 Suppl 3 12 S433-S435 |
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10.1134/S1062873823705986 doi (DE-627)SPR055057233 (SPR)S1062873823705986-e DE-627 ger DE-627 rakwb eng Petrov, A. S. verfasserin aut Energy Approach for Description of Electron Transport in Two-Dimensional Electron Systems 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Pleiades Publishing, Ltd. 2023. ISSN 1062-8738, Bulletin of the Russian Academy of Sciences: Physics, 2023, Vol. 87, Suppl. 3, pp. S433–S435. © Pleiades Publishing, Ltd., 2023. Abstract Hydrodynamic model of electron transport has long been used to describe various effects in an electron gas. Despite its rich history, the hydrodynamic model is mainly used to describe specific configurations of physical devices, leaving aside the general properties of electronic transport. These properties are fundamentally different from the properties of a classical liquid since the electron ‘fluid’ is compressible and charged. Previously we developed an operator approach to the linearized equations of electron hydrodynamics using the example of a two-dimensional electron gas. This formalism aided at describing the magnetodispersion of sub-mm and terahertz plasma waves in various geometries and served as the basis for constructing a perturbation theory. In this work we construct a similar theory, isolating energy terms from non-linearized hydrodynamic equations. This approach allows to account for external particle sources, boundary terms or any kind of external force. As a demonstration of capabilities of the theory we derive an expression for an external drift-induced correction to plasmon frequency. Enthalten in Bulletin of the Russian Academy of Sciences New York, NY : Allerton Press, 2007 87(2023), Suppl 3 vom: Dez., Seite S433-S435 (DE-627)556723872 (DE-600)2403169-0 1934-9432 nnns volume:87 year:2023 number:Suppl 3 month:12 pages:S433-S435 https://dx.doi.org/10.1134/S1062873823705986 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 87 2023 Suppl 3 12 S433-S435 |
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10.1134/S1062873823705986 doi (DE-627)SPR055057233 (SPR)S1062873823705986-e DE-627 ger DE-627 rakwb eng Petrov, A. S. verfasserin aut Energy Approach for Description of Electron Transport in Two-Dimensional Electron Systems 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Pleiades Publishing, Ltd. 2023. ISSN 1062-8738, Bulletin of the Russian Academy of Sciences: Physics, 2023, Vol. 87, Suppl. 3, pp. S433–S435. © Pleiades Publishing, Ltd., 2023. Abstract Hydrodynamic model of electron transport has long been used to describe various effects in an electron gas. Despite its rich history, the hydrodynamic model is mainly used to describe specific configurations of physical devices, leaving aside the general properties of electronic transport. These properties are fundamentally different from the properties of a classical liquid since the electron ‘fluid’ is compressible and charged. Previously we developed an operator approach to the linearized equations of electron hydrodynamics using the example of a two-dimensional electron gas. This formalism aided at describing the magnetodispersion of sub-mm and terahertz plasma waves in various geometries and served as the basis for constructing a perturbation theory. In this work we construct a similar theory, isolating energy terms from non-linearized hydrodynamic equations. This approach allows to account for external particle sources, boundary terms or any kind of external force. As a demonstration of capabilities of the theory we derive an expression for an external drift-induced correction to plasmon frequency. Enthalten in Bulletin of the Russian Academy of Sciences New York, NY : Allerton Press, 2007 87(2023), Suppl 3 vom: Dez., Seite S433-S435 (DE-627)556723872 (DE-600)2403169-0 1934-9432 nnns volume:87 year:2023 number:Suppl 3 month:12 pages:S433-S435 https://dx.doi.org/10.1134/S1062873823705986 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 87 2023 Suppl 3 12 S433-S435 |
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energy approach for description of electron transport in two-dimensional electron systems |
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Energy Approach for Description of Electron Transport in Two-Dimensional Electron Systems |
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Abstract Hydrodynamic model of electron transport has long been used to describe various effects in an electron gas. Despite its rich history, the hydrodynamic model is mainly used to describe specific configurations of physical devices, leaving aside the general properties of electronic transport. These properties are fundamentally different from the properties of a classical liquid since the electron ‘fluid’ is compressible and charged. Previously we developed an operator approach to the linearized equations of electron hydrodynamics using the example of a two-dimensional electron gas. This formalism aided at describing the magnetodispersion of sub-mm and terahertz plasma waves in various geometries and served as the basis for constructing a perturbation theory. In this work we construct a similar theory, isolating energy terms from non-linearized hydrodynamic equations. This approach allows to account for external particle sources, boundary terms or any kind of external force. As a demonstration of capabilities of the theory we derive an expression for an external drift-induced correction to plasmon frequency. © Pleiades Publishing, Ltd. 2023. ISSN 1062-8738, Bulletin of the Russian Academy of Sciences: Physics, 2023, Vol. 87, Suppl. 3, pp. S433–S435. © Pleiades Publishing, Ltd., 2023. |
| abstractGer |
Abstract Hydrodynamic model of electron transport has long been used to describe various effects in an electron gas. Despite its rich history, the hydrodynamic model is mainly used to describe specific configurations of physical devices, leaving aside the general properties of electronic transport. These properties are fundamentally different from the properties of a classical liquid since the electron ‘fluid’ is compressible and charged. Previously we developed an operator approach to the linearized equations of electron hydrodynamics using the example of a two-dimensional electron gas. This formalism aided at describing the magnetodispersion of sub-mm and terahertz plasma waves in various geometries and served as the basis for constructing a perturbation theory. In this work we construct a similar theory, isolating energy terms from non-linearized hydrodynamic equations. This approach allows to account for external particle sources, boundary terms or any kind of external force. As a demonstration of capabilities of the theory we derive an expression for an external drift-induced correction to plasmon frequency. © Pleiades Publishing, Ltd. 2023. ISSN 1062-8738, Bulletin of the Russian Academy of Sciences: Physics, 2023, Vol. 87, Suppl. 3, pp. S433–S435. © Pleiades Publishing, Ltd., 2023. |
| abstract_unstemmed |
Abstract Hydrodynamic model of electron transport has long been used to describe various effects in an electron gas. Despite its rich history, the hydrodynamic model is mainly used to describe specific configurations of physical devices, leaving aside the general properties of electronic transport. These properties are fundamentally different from the properties of a classical liquid since the electron ‘fluid’ is compressible and charged. Previously we developed an operator approach to the linearized equations of electron hydrodynamics using the example of a two-dimensional electron gas. This formalism aided at describing the magnetodispersion of sub-mm and terahertz plasma waves in various geometries and served as the basis for constructing a perturbation theory. In this work we construct a similar theory, isolating energy terms from non-linearized hydrodynamic equations. This approach allows to account for external particle sources, boundary terms or any kind of external force. As a demonstration of capabilities of the theory we derive an expression for an external drift-induced correction to plasmon frequency. © Pleiades Publishing, Ltd. 2023. ISSN 1062-8738, Bulletin of the Russian Academy of Sciences: Physics, 2023, Vol. 87, Suppl. 3, pp. S433–S435. © Pleiades Publishing, Ltd., 2023. |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000naa a22002652 4500</leader><controlfield tag="001">SPR055057233</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20240308064659.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">240308s2023 xx |||||o 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1134/S1062873823705986</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)SPR055057233</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(SPR)S1062873823705986-e</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Petrov, A. S.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Energy Approach for Description of Electron Transport in Two-Dimensional Electron Systems</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2023</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">Computermedien</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Pleiades Publishing, Ltd. 2023. ISSN 1062-8738, Bulletin of the Russian Academy of Sciences: Physics, 2023, Vol. 87, Suppl. 3, pp. S433–S435. © Pleiades Publishing, Ltd., 2023.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract Hydrodynamic model of electron transport has long been used to describe various effects in an electron gas. Despite its rich history, the hydrodynamic model is mainly used to describe specific configurations of physical devices, leaving aside the general properties of electronic transport. These properties are fundamentally different from the properties of a classical liquid since the electron ‘fluid’ is compressible and charged. Previously we developed an operator approach to the linearized equations of electron hydrodynamics using the example of a two-dimensional electron gas. This formalism aided at describing the magnetodispersion of sub-mm and terahertz plasma waves in various geometries and served as the basis for constructing a perturbation theory. In this work we construct a similar theory, isolating energy terms from non-linearized hydrodynamic equations. This approach allows to account for external particle sources, boundary terms or any kind of external force. As a demonstration of capabilities of the theory we derive an expression for an external drift-induced correction to plasmon frequency.</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Bulletin of the Russian Academy of Sciences</subfield><subfield code="d">New York, NY : Allerton Press, 2007</subfield><subfield code="g">87(2023), Suppl 3 vom: Dez., Seite S433-S435</subfield><subfield code="w">(DE-627)556723872</subfield><subfield code="w">(DE-600)2403169-0</subfield><subfield code="x">1934-9432</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:87</subfield><subfield code="g">year:2023</subfield><subfield code="g">number:Suppl 3</subfield><subfield code="g">month:12</subfield><subfield code="g">pages:S433-S435</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield 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