Drude model
E459580
The Drude model is a classical theory that describes the electrical and thermal properties of metals by treating conduction electrons as a gas of free, non-interacting particles undergoing random collisions.
Statements (49)
| Predicate | Object |
|---|---|
| instanceOf |
classical theory of electrical conduction
ⓘ
model in solid-state physics ⓘ transport theory ⓘ |
| appliesTo |
degenerate electron systems at high temperatures approximately
ⓘ
metals ⓘ |
| assumes |
Ohm's law holds for macroscopic currents
ⓘ
conduction electrons behave as a classical ideal gas ⓘ constant average relaxation time between collisions ⓘ electrons are free and non-interacting ⓘ electrons undergo random collisions ⓘ |
| basedOn |
classical mechanics
ⓘ
kinetic theory of gases ⓘ |
| describes |
charge transport in metals
ⓘ
electrical conductivity of metals ⓘ thermal conductivity of metals ⓘ |
| developedBy | Paul Drude NERFINISHED ⓘ |
| extendedBy |
Drude–Lorentz model
NERFINISHED
ⓘ
Sommerfeld model NERFINISHED ⓘ quantum free-electron model NERFINISHED ⓘ |
| field |
condensed matter physics
ⓘ
electromagnetism ⓘ |
| formulates | Drude conductivity formula σ = ne²τ/m ⓘ |
| implies |
Hall coefficient depends on charge sign and density
ⓘ
electrical conductivity is proportional to electron density ⓘ electrical resistivity is inversely proportional to relaxation time ⓘ |
| introducedInYear | 1900 ⓘ |
| limitedBy |
failure to explain electronic heat capacity of metals
ⓘ
inability to explain temperature dependence of resistivity quantitatively ⓘ inaccurate prediction of Hall effect in some metals ⓘ neglect of quantum statistics ⓘ |
| namedAfter | Paul Drude NERFINISHED ⓘ |
| predicts |
Ohmic conductivity
ⓘ
Wiedemann–Franz law qualitatively ⓘ frequency-dependent (AC) conductivity ⓘ linear relation between current density and electric field ⓘ plasma frequency of conduction electrons ⓘ skin effect qualitatively ⓘ |
| relatedTo |
Boltzmann transport equation
NERFINISHED
ⓘ
Hall effect NERFINISHED ⓘ Ohm's law NERFINISHED ⓘ Wiedemann–Franz law NERFINISHED ⓘ |
| usedIn |
materials science
ⓘ
optical properties modeling of metals ⓘ plasma physics approximations ⓘ solid-state physics education ⓘ |
| usesParameter |
electron effective mass
ⓘ
electron number density ⓘ electron relaxation time ⓘ mean free path ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.