Matthiessen's rule, relating it to applied electric field

In summary, the conversation discusses Matthiessen's rule, which states that the contribution to electronic resistivity/conductivity is split into two independent components: resistivity due to impurities and resistivity due to the lattice. The application of an electric field and its relation to this rule is unclear, and there is a question about whether it only applies when independent from the wavevector. The conversation ends with a request for clarification and a speculation about the potential impact of an electric field on the wavevector.
  • #1
rwooduk
762
59

Homework Statement


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Homework Equations


None.

The Attempt at a Solution


I understand the basic concept of Matthiessen's rule that the contribution to electronic resistivity / conductivity is split into two independant componants, resistivity due to impurities and resistivity due to the lattice. But I am unsure how this relates to if an electric field is applied. Also we have been taught it only applies if independant from the wavevector, could someone perhaps emphasise this a little?

Please could someone give me a point in the right direction.
 
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  • #2
Anyone?

The only thing I can think is that if the resistivity is proportional to the electric field then it somehow changes the wavevector so it cannot be used.
 

FAQ: Matthiessen's rule, relating it to applied electric field

What is Matthiessen's rule?

Matthiessen's rule is a physical law that states that the total resistivity of a material is equal to the sum of its individual resistivities due to different scattering mechanisms.

How does Matthiessen's rule relate to applied electric field?

In the presence of an applied electric field, the electrons in a material experience scattering from various sources, such as imperfections in the crystal lattice or impurities. Matthiessen's rule allows us to predict the overall resistivity of the material by considering the contributions from each scattering mechanism.

Can Matthiessen's rule be applied to all materials?

Yes, Matthiessen's rule can be applied to all materials, regardless of their properties. However, it is most accurate for materials that have a homogeneous crystal structure and a low impurity concentration.

How is Matthiessen's rule used in practical applications?

Matthiessen's rule is used in many practical applications, such as designing electronic devices and studying the electrical properties of materials. It allows engineers to predict the behavior of materials under different electric fields and can aid in the development of new materials with specific electrical properties.

Are there any limitations to Matthiessen's rule?

Yes, there are some limitations to Matthiessen's rule. It assumes that the scattering mechanisms in a material are independent of each other, which may not always be the case. Additionally, it does not take into account nonlinear effects that occur at high electric fields.

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