Nonlinear correction to Ohm's law derived from Boltzmann's equation

Havemann, R. H.; Engel, P. F.; Baird, J.R.

doi:10.1063/1.1655217

Cited by 5 publications

(3 citation statements)

References 3 publications

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“…This agrees with Joule's first law and is equivalent to the original form in CIT if Ohm's law holds. However, Havemann et al [54] pointed out that a nonlinear term derived from the Boltzmann equation should be inserted into Ohm's law at low temperature, which is not surprising since Ohm's law neglects the time needed to accelerate the charge carriers. This relaxation time under normal conditions is rather small because the electrons are very light and the electrical force is quite strong.…”

Section: B Electrical Conductionmentioning

confidence: 99%

General expression for entropy production in transport processes based on the thermomass model

2012

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The entropy production in classical irreversible thermodynamics is expressed as a bilinear form of generalized (driving) forces and conjugated (driven) fluxes, which suffers from the arbitrary decomposition of the forces and the fluxes, and the possible negative entropy production in non-Fourier heat conduction problems (heat waves). This paper presents a general form of the entropy production for heat conduction based on the thermomass model, which is the product of the friction force and the drift velocity of the thermomass divided by the temperature; it holds true for both Fourier and non-Fourier heat conduction. Then a generalization of the entropy production is given for other kinds of linear and nonlinear transport processes. The general expression for entropy production is consistent with that given by extended irreversible thermodynamics, where the system entropy depends not only on the classical variables, but also on the dissipative fluxes, for example, the heat flux in heat conduction problems.

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Section: B Electrical Conductionmentioning

confidence: 99%

General expression for entropy production in transport processes based on the thermomass model

2012

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“…The Ohm's law [1] states that when an electrical field is applied along an isotropic macroscopic conductor, a drift current will be generated and the voltage value will change linearly along the carrier drift path. This phenomenon can be theoretically evidenced by approximately solving the Boltzmann equation [2] regardless of the effects of higher-order electric field dependence [3]. There are still some materials in which electronic transport superficially presents a violation of Ohm's law.…”

Section: Introductionmentioning

confidence: 99%

“…For example, the nonlinear relationship between current and voltage in a diode originates from the built-in electrical field. The memristor [4][5][6][7] is also widely studied and its electrical 3 Authors to whom any correspondence should be addressed. resistance is not constant but depends on the history of current that previously flowed through the device.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear diffusion potential induced anti-ohmic effect

Wang¹,

Tian²,

Guo³

et al. 2020

J. Phys. D: Appl. Phys.

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Novel transport behavior of carriers always generates new types of electronic elements. For traditional resistor element, the voltage is directly proportional to drift current regardless of Joule heat, which can be credibly described by Ohm’s law. There are still some new types of materials such as memristor and Weyl metal that do not follow Ohm’s law, and they have drawn significant attention. In this work, we theoretically and experimentally investigated the transport behavior of diffusion current near the interface of the silicon-based Schottky junction. It is clearly observed that the output voltage in the diffusion path could be higher (lower) when the resistance was lower (higher), even under identical diffused current. Deep theoretical analysis is also carried out, which is found to be in good agreement with the experimental results. These results suggest that the transport behavior of diffusion carriers is quite different from the drift carriers. This study may provide a foundation for fundamental research and device application based on the transport of diffusion carriers near the interface.

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General Entropy Production Based on Dynamical Analysis

Dong

2015

Dynamical Analysis of Non-Fourier Heat Conduction and Its Application in Nanosystems

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Nonlinear correction to Ohm's law derived from Boltzmann's equation

Cited by 5 publications

References 3 publications

General expression for entropy production in transport processes based on the thermomass model

General expression for entropy production in transport processes based on the thermomass model

Nonlinear diffusion potential induced anti-ohmic effect

General Entropy Production Based on Dynamical Analysis

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