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For that reason this approximation means the size scale is much larger than the Debye length.
As can be seen from the above equation, the repulsion energy depends on the square of the Debye length.
However, its validity at even smaller scales (approaching debye length) is still currently under investigation.
The Debye length is the fundamental length scale of a classical plasma.
However, Debye length must be important for electrophoresis, as follows immediately from the Figure on the right.
Debye length is characteristic of the Double layer thickness.
The associated length λ 1/k is called the Debye length.
It follows, for instance, from the fact that it does not include Debye length κ.
Because a higher concentration leads to a shorter Debye length for the electrical double layer at the channel wall.
In the special case that double layers are formed, the charge separation can extend some tens of Debye lengths.
This restricts the value of the Debye length and particle radius as following:
In general, quasi-neutrality can only be violated on scales of the order of the Debye length.
A cloud of electrons will surround any charge with an approximate radius known as the Debye length.
This model can be useful for some nano-colloids and non-polar fluids, where the Debye length is much larger.
When there is an increased salt concentration in the lumen of the capillary, the debye length decreases.
The associated increase in the Debye length must be taken into account when considering ion non-saturation due to sheath effects.
The upper cut-off to the impact parameter should thus be approximately equal to the Debye length:
This model is valid for most aqueous systems because the Debye length is only a few nanometers there.
Spectator ions concentration only affect the Debye length.
The Coulomb potential is screened on length scales of a Debye length.
Debye length, the scale over which electric fields are screened out by a redistribution of the electrons:
The Debye length arises naturally in the thermodynamic description of large systems of mobile charges.
The Debye length of semiconductors is given:
This is important in concentrated dispersions and emulsions when distances between particles become comparable with the Debye length.
The effects of the charged endothelial cells decay exponentially over a measured distance, which is known as the Debye length.