Adsorption of quantum gases on curved surfaces

Daniel E. Shai; Milton W. Cole; Paul E. Lammert

doi:10.1007/s10909-006-9301-x

Adsorption of quantum gases on curved surfaces

Daniel E. Shai, Milton W. Cole, Paul E. Lammert

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

The statistical mechanical behavior of quantum gases adsorbed on various surfaces is analyzed. The specific surfaces explored are (a) a finite and an infinite plane, (b) a circular and/or square disk, (c) a sphere, (d) a cylinder, and (e) a cone. The approximation is made that the particles are confined to the close vicinity of the specified surface by a holding potential. As expected, quantum size and statistical effects are large at low temperature, while at high temperature the limiting behavior is that of a classical two-dimensional gas on a flat surface. An application to the surface separation of HD or D ₂ from H ₂ is discussed.

Original language	English (US)
Pages (from-to)	59-79
Number of pages	21
Journal	Journal of Low Temperature Physics
Volume	147
Issue number	1-2
DOIs	https://doi.org/10.1007/s10909-006-9301-x
State	Published - Apr 2007

All Science Journal Classification (ASJC) codes

Atomic and Molecular Physics, and Optics
General Materials Science
Condensed Matter Physics

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10.1007/s10909-006-9301-x

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@article{58343ba946854adc9f745563e661d357,

title = "Adsorption of quantum gases on curved surfaces",

abstract = "The statistical mechanical behavior of quantum gases adsorbed on various surfaces is analyzed. The specific surfaces explored are (a) a finite and an infinite plane, (b) a circular and/or square disk, (c) a sphere, (d) a cylinder, and (e) a cone. The approximation is made that the particles are confined to the close vicinity of the specified surface by a holding potential. As expected, quantum size and statistical effects are large at low temperature, while at high temperature the limiting behavior is that of a classical two-dimensional gas on a flat surface. An application to the surface separation of HD or D 2 from H 2 is discussed.",

author = "Shai, {Daniel E.} and Cole, {Milton W.} and Lammert, {Paul E.}",

note = "Funding Information: This research has been supported by an NSF-REU grant to the Penn State MRSEC program and by NSF DMR-0505160. We are grateful to Susana Hern{\'a}ndez for helpful discussion and to M. L. Glasser for communications that stimulated this study.",

year = "2007",

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doi = "10.1007/s10909-006-9301-x",

language = "English (US)",

volume = "147",

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journal = "Journal of Low Temperature Physics",

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TY - JOUR

T1 - Adsorption of quantum gases on curved surfaces

AU - Shai, Daniel E.

AU - Cole, Milton W.

AU - Lammert, Paul E.

N1 - Funding Information: This research has been supported by an NSF-REU grant to the Penn State MRSEC program and by NSF DMR-0505160. We are grateful to Susana Hernández for helpful discussion and to M. L. Glasser for communications that stimulated this study.

PY - 2007/4

Y1 - 2007/4

N2 - The statistical mechanical behavior of quantum gases adsorbed on various surfaces is analyzed. The specific surfaces explored are (a) a finite and an infinite plane, (b) a circular and/or square disk, (c) a sphere, (d) a cylinder, and (e) a cone. The approximation is made that the particles are confined to the close vicinity of the specified surface by a holding potential. As expected, quantum size and statistical effects are large at low temperature, while at high temperature the limiting behavior is that of a classical two-dimensional gas on a flat surface. An application to the surface separation of HD or D 2 from H 2 is discussed.

AB - The statistical mechanical behavior of quantum gases adsorbed on various surfaces is analyzed. The specific surfaces explored are (a) a finite and an infinite plane, (b) a circular and/or square disk, (c) a sphere, (d) a cylinder, and (e) a cone. The approximation is made that the particles are confined to the close vicinity of the specified surface by a holding potential. As expected, quantum size and statistical effects are large at low temperature, while at high temperature the limiting behavior is that of a classical two-dimensional gas on a flat surface. An application to the surface separation of HD or D 2 from H 2 is discussed.

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JO - Journal of Low Temperature Physics

JF - Journal of Low Temperature Physics

IS - 1-2

ER -

Adsorption of quantum gases on curved surfaces

Abstract

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