Quantum fluids: Difference between revisions
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imported>Sekhar Talluri (intro or def. for quantum fluid) |
imported>Paul Wormer (wikilinks + formating) |
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A quantum fluid is a fluid where the mean distance between the particles is less than or comparable to the thermal de Broglie wavelength <math> h / sqrt(2 \pi m k T)</math>, where | {{subpages}} | ||
: <math> h </math> is | A '''quantum fluid''' is a fluid where the mean distance between the particles is less than or comparable to the thermal de Broglie wavelength | ||
: <math> m </math> | :<math> \Lambda = h / \sqrt{(2 \pi m k T)}</math>, | ||
: <math> k </math> | where | ||
: <math> T </math> is the temperature. | : <math>\, h </math> is [[Planck's constant]] | ||
In such | : <math>\, m </math> is the [[mass]] of the particles of the fluid | ||
: <math>\, k </math> is the [[Boltzmann constant]] and | |||
: <math>\, T </math> is the absolute [[temperature]]. | |||
In such a case there is a strong overlap of [[wave function]]s of adjacent particles and hence quantum statistics ([[Bose-Einstein]] or [[Fermi-Dirac]]) is applicable. This often results in unusual observable macroscopic phenomena, such as superfluidity, superconductivity and other 'super' transport phenomena. | |||
Reference: Nobel lecture by D.M.Lee | ==Reference== | ||
*The extraordinary phases of liquid <math>^3</math>He. [http://nobelprize.org/nobel_prizes/physics/laureates/1996/lee-lecture.pdf Nobel lecture by D.M.Lee.] | |||
Latest revision as of 09:57, 16 January 2009
A quantum fluid is a fluid where the mean distance between the particles is less than or comparable to the thermal de Broglie wavelength
- ,
where
- is Planck's constant
- is the mass of the particles of the fluid
- is the Boltzmann constant and
- is the absolute temperature.
In such a case there is a strong overlap of wave functions of adjacent particles and hence quantum statistics (Bose-Einstein or Fermi-Dirac) is applicable. This often results in unusual observable macroscopic phenomena, such as superfluidity, superconductivity and other 'super' transport phenomena.
Reference
- The extraordinary phases of liquid He. Nobel lecture by D.M.Lee.
