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Related Concept Videos

Theory of Metallic Conduction01:17

Theory of Metallic Conduction

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The conduction of free electrons inside a conductor is best described by quantum mechanics. However, a classical model makes predictions close to the results of quantum mechanics. It is called the theory of metallic conduction.
In this theory, Newton's second law of motion is used to determine the acceleration of an electron in the presence of an applied electric field. Then, its velocity is expressed via this acceleration.
An electron moves through the crystal, containing positive ions,...
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Electrical Conductivity01:13

Electrical Conductivity

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In perfect conductors, the electric field inside is always zero due to the abundance of free electrons, which nullify any field by flowing. As a result, any residual charge resides on the surface.
In a practical conductor, an applied electric field may be sustained, causing a flow of electrons, which produce a current. The differential form of the current, the current density, is related to the electric field.
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Debye–Huckel–Onsager Conductance Equation01:28

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The Debye-Hückel-Onsager equation is a cornerstone of physical chemistry, providing a method to determine the molar conductance (Λm) and molar conductance at infinite dilution (Λ°m) for uni-univalent electrolytes.Uni-univalent electrolytes are electrolytes that dissociate in solution to produce one cation with a +1 charge and one anion with a –1 charge per formula unit.This equation addresses two crucial phenomena: the asymmetry effect and the electrophoretic effect.
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Thermal expansion and Thermal stress: Problem Solving01:27

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San Francisco's Golden Gate Bridge is exposed to temperatures ranging from -15 °C to 40 °C. At its coldest, the main span of the bridge is 1275 m long. Assuming that the bridge is made entirely of steel, what is the change in its length between these temperatures?
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Current density becomes discontinuous across an interface of materials with different electrical conductivities. The normal component of the current density is continuous across the boundary.
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Thermal strain is a concept that arises when we consider how temperature changes affect structures. Unlike the conventional assumption that structures remain constant under load, real-world scenarios often involve temperature fluctuations that can significantly impact these structures. Consider a homogeneous rod with a uniform cross-section resting freely on a flat horizontal surface. If the rod's temperature increases, the rod elongates. This elongation is proportional to the temperature...
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Characterization of Thermal Transport in One-dimensional Solid Materials
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Length-dependent thermal conductivity in suspended single-layer graphene.

Xiangfan Xu1, Luiz F C Pereira2, Yu Wang3

  • 11] Department of Physics, National University of Singapore, Singapore 117542, Singapore [2] Graphene Research Center, National University of Singapore, Singapore 117542, Singapore [3] NanoCore, 4 Engineering Drive 3, National University of Singapore, Singapore 117576, Singapore [4].

Nature Communications
|April 17, 2014
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Summary
This summary is machine-generated.

Thermal conductivity in suspended graphene increases with sample length, unlike bulk materials. This unique behavior in two-dimensional systems is due to graphene

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Area of Science:

  • Materials Science
  • Condensed Matter Physics
  • Nanotechnology

Background:

  • Graphene possesses exceptional electronic, mechanical, and thermal properties.
  • Studying thermal conductivity in two-dimensional (2D) systems is crucial for understanding phonon transport in low-dimensional materials.
  • Suspended single-layer graphene serves as an ideal platform for investigating 2D thermal transport.

Purpose of the Study:

  • To experimentally measure and simulate thermal conduction in suspended single-layer graphene.
  • To investigate the dependence of thermal conductivity on temperature and sample length.
  • To understand the fundamental mechanisms of thermal transport in 2D materials.

Main Methods:

  • Experimental measurements of thermal conduction.
  • Non-equilibrium molecular dynamics simulations.
  • Testing suspended single-layer graphene across various temperatures and sample lengths.

Main Results:

  • Observed that thermal conductivity in graphene increases with sample length at 300 K.
  • Demonstrated that thermal conductivity remains logarithmically divergent with sample length, even for lengths exceeding the phonon mean free path.
  • Contrasted these findings with the behavior of bulk materials.

Conclusions:

  • The observed length-dependent thermal conductivity is a direct consequence of the two-dimensional nature of phonons in graphene.
  • This study provides fundamental insights into thermal transport phenomena in 2D materials.
  • Highlights the unique thermal properties of graphene compared to bulk counterparts.