# Questions tagged [debye-length]

The Debye length is the distance over which significant charge separation can occur in a conductive material or plasma due to a variety of effects.

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### What Debye length should be used in plasma?

In short Which expression should be used: (1) or (2)? At length Definition of the Debye length $r_D$ is following: $$r_D=\left( \sum_{j}\frac{4\pi q_j^2 n_j}{kT_j} \right)^{-\frac{1}{2}}$$ It is ...
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### Why take macroscopic average of electric field over length scale smaller then the Debye length?

In Landau and Lifshitz volume 10 pg117 the authors say that the electric and magnetic fields $\vec E$ and $\vec B$ are averaged over regions "having dimensions large compared with the distances ...
2answers
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### Classical limit of thermal capacity in Debye Solid

In Debye Solid model thermal capacity with constant numer of particles $N$ (canonical ensemble) is $$C_{N}=\frac{9Nk_B}{(\beta \hbar \omega_D)^3 }\int_{0}^{T_D/T} dx \frac{x^4 e^x}{(e^x-1)^2}\tag{1}$$...
1answer
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### Relationship between conductivity and electrostatic screening

I'm trying to wrap my head around the concept of electric field screening. Namely I'm trying to reconcile this property of a fluid with the bulk property of conductivity. I can understand how a ...
1answer
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### Image of spatial distribution of particles in a plasma?

I am looking into the Debye length and to get an intuitive understanding of it I thought I would find an image showing a simulation of the (spatial) distribution of particles in a plasma i.e. a zoomed ...
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### Debye Hückel Theory valid for ions?

I am wondering about the following: Is Debye Hückel Theory only used if you look at how an external "strong" field(like a potential by a sphere that has a charge that is 1000times higher than the ...
1answer
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### Debye Hückel Theory

In the derivation of the Poisson-Boltzmann equation, my textbook arrives at the expression $$\rho_i = c_+ z_+ F + c_-z_-F = c_+^oz_+^oFe^{-z_+e\phi_i/kT} + c_-^oz_-Fe^{-z_-e\phi_i/kT}$$ where \$c_\...
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### Why is the conductor an equipotential surface in electrostatics?

Since the electric field inside a conductor is zero that means the potential is constant inside a conductor, which means the "inside" of a conductor is an equal potential region. Why do books also ...
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### What is the penetration length of static electric field into conducting metals?

How large is the penetration length for static electric field into good conductors? I have two versions: (1) few atomic spacings $$a\sim n_{e}^{-1/3},$$ and (2) Debye length computed by Fermi ...
4answers
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### Is solar wind positively charged?

Many times I heared that the solar wind consists of protons and alpha particles. The both are positively charged, but are there electrons in solar wind?
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### Coulomb's law and Plasma [closed]

Does Coulomb's law apply to Plasma?