| Anomalous effective dimensionality of quantum gas adsorption near nanopores. | |
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MedLine Citation:
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PMID: 21386496 Owner: NLM Status: In-Data-Review |
Abstract/OtherAbstract:
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Three problems involving quasi-one-dimensional (1D) ideal gases are discussed. The simplest problem involves quantum particles localized within the 'groove', a quasi-1D region created by two adjacent, identical and parallel nanotubes. At low temperature (T), the transverse motion of the adsorbed gas, in the plane perpendicular to the axes of the tubes, is frozen out. Then, the low T heat capacity C(T) of N particles is that of a 1D classical gas: [Formula: see text]. The dimensionless heat capacity C(*) increases when T ≥ 0.1T(x, y) (transverse excitation temperatures), asymptoting at C(*) = 2.5. The second problem involves a gas localized between two nearly parallel, co-planar nanotubes, with small divergence half-angle γ. In this case, too, the transverse motion does not contribute to C(T) at low T, leaving a problem of a gas of particles in a 1D harmonic potential (along the z axis, midway between the tubes). Setting ω(z) as the angular frequency of this motion, for [Formula: see text], the behavior approaches that of a 2D classical gas, C(*) = 1; one might have expected instead C(*) = 1/2, as in the groove problem, since the limit [Formula: see text] is 1D. For [Formula: see text], the thermal behavior is exponentially activated, C(*) ∼ (τ(z)/T)(2)e( - τ(z)/T). At higher T ([Formula: see text]), motion is excited in the y direction, perpendicular to the plane of nanotubes, resulting in thermal behavior (C(*) = 7/4) corresponding to a gas in 7/2 dimensions, while at very high T ([Formula: see text]), the behavior becomes that of a D = 11/2 system. The third problem is that of a gas of particles, e.g. (4)He, confined in the interstitial region between four square parallel pores. The low T behavior found in this case is again surprising-that of a 5D gas. |
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Authors:
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Steven J Full; Jessica P McNutt; Milton W Cole; Mamadou T Mbaye; Silvina M Gatica |
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Publication Detail:
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Type: Journal Article Date: 2010-08-04 |
Journal Detail:
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Title: Journal of physics. Condensed matter : an Institute of Physics journal Volume: 22 ISSN: 0953-8984 ISO Abbreviation: J Phys Condens Matter Publication Date: 2010 Aug |
Date Detail:
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Created Date: 2011-03-09 Completed Date: - Revised Date: - |
Medline Journal Info:
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Nlm Unique ID: 101165248 Medline TA: J Phys Condens Matter Country: England |
Other Details:
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Languages: eng Pagination: 334206 Citation Subset: IM |
Affiliation:
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Physics Department, Pennsylvania State University, 104 Davey Laboratory, University Park, PA 16802, USA. |
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From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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