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Peter Debye
Statistical mechanics
Thermodynamics
Kinetic theory
Particle statistics
Spin–statistics theorem
Indistinguishable particles
Maxwell–Boltzmann
Bose–Einstein
Fermi–Dirac
Parastatistics
Anyonic statistics
Braid statistics
Thermodynamic ensembles
NVE Microcanonical
NVT Canonical
µVT Grand canonical
NPH Isoenthalpic–isobaric
NPT Isothermal–isobaric
Models
Debye
Einstein
Ising
Potts
Potentials
Internal energy
Enthalpy
Helmholtz free energy
Gibbs free energy
Grand potential / Landau free energy
Scientists
Maxwell
Boltzmann
Bose
Gibbs
Einstein
Ehrenfest
von Neumann
Tolman
Debye
Fermi
v
t
e
In thermodynamics and solid-state physics, the Debye model is a method developed by Peter Debye in 1912 to estimate phonon contribution to the specific heat (heat capacity) in a solid.[1] It treats the vibrations of the atomic lattice (heat) as phonons in a box in contrast to the Einstein photoelectron model, which treats the solid as many individual, non-interacting quantum harmonic oscillators. The Debye model correctly predicts the low-temperature dependence of the heat capacity of solids, which is proportional to [clarification needed] – the Debye T 3 law. Similarly to the Einstein photoelectron model, it recovers the Dulong–Petit law at high temperatures. Due to simplifying assumptions, its accuracy suffers at intermediate temperatures[clarification needed].
^Debye, Peter (1912). "Zur Theorie der spezifischen Waerme". Annalen der Physik (in German). 39 (4): 789–839. Bibcode:1912AnP...344..789D. doi:10.1002/andp.19123441404.
In thermodynamics and solid-state physics, the Debyemodel is a method developed by Peter Debye in 1912 to estimate phonon contribution to the specific...
Peter Joseph William Debye ForMemRS (/dɛˈbaɪ/; Dutch: [dəˈbɛiə]; March 24, 1884 – November 2, 1966) was a Dutch-American physicist and physical chemist...
In plasmas and electrolytes, the Debye length λ D {\displaystyle \lambda _{\rm {D}}} (Debye radius or Debye–Hückel screening length), is a measure of a...
Peter Debye, who came across this function (with n = 3) in 1912 when he analytically computed the heat capacity of what is now called the Debyemodel. The...
theory of solids were given by the following: The Einstein solid model and the Debyemodel, suggesting that the quantum behaviour of exchanging energy in...
Two famous quantum corrections include the Einstein solid model and the more refined Debyemodel. With the addition of the latter, the volumetric heat capacity...
same frequency. The independence assumption is relaxed in the Debyemodel. While the model provides qualitative agreement with experimental data, especially...
of thermodynamics. One of the strengths of the Debyemodel is that (unlike the preceding Einstein model) it predicts the proper mathematical form of the...
temperatures, so transitions to more stable states do not occur. Using the Debyemodel, the specific heat and entropy of a pure crystal are proportional to...
contained in these high-frequency modes, a simple modification of the Debyemodel is sufficient to yield a good approximation to experimental heat capacities...
The Ising model (or Lenz–Ising model), named after the physicists Ernst Ising and Wilhelm Lenz, is a mathematical model of ferromagnetism in statistical...
adequate method of capturing experimental behaviors. The Debyemodel and the Lorentz model use a first-order and second-order (respectively) lumped system...
Debye–Scherrer method Debye–Sears method Debye–Waller factor Debye force Debye frequency, see also DebyemodelDebye function, see also Debyemodel Debye...
any mathematical model that combines space and time into a single continuum Continuum theory of specific heats of solids, see Debyemodel Triune continuum...
}\omega ^{2}\tau ^{2}}}} This relaxation model was introduced by and named after the physicist Peter Debye (1913). It is characteristic for dynamic polarisation...
polar liquids, as developed by Peter Debye and corrected by Lars Onsager to incorporate reaction field effects. The model can be combined with quantum chemical...
1907 brought him to the attention of Walther Nernst. Einstein, followed by Debye, applied quantum principles to the motion of atoms, explaining the specific...
Nobel laureate Peter Debye received a degree in electrical engineering from RWTH Aachen and is known for the Debyemodel and Debye relaxation. Another...
entropy can in fact be accurately estimated. At low temperatures, the Debyemodel leads to the result that the atomic heat capacity Cv for solids should...
is the temperature derivatives of phonon energy for the Debyemodel (linear dispersion model), is c v , p = d E p d T | v = 9 k B m ( T T D ) 3 n ∫ 0...
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