Bose quantum solids in 2-dimensions /
The inhomogeneous hypernetted chain variational theory is used to compute the properties of the liquid and triangular crystal phases of a 2-dimensional model of ⁴He described by the Aziz potential, at zero temperature. We first develop a systematic treatment of the theory as it applies to the geomet...
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| Format: | Thesis Book |
| Language: | English |
| Published: |
[Place of publication not identified] :
[publisher not identified] ;
1999.
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| Subjects: | |
| Online Access: | http://proxy.library.tamu.edu/login?url=http://proquest.umi.com/pqdweb?did=730298501&sid=1&Fmt=2&clientId=2945&RQT=309&VName=PQD |
| Summary: | The inhomogeneous hypernetted chain variational theory is used to compute the properties of the liquid and triangular crystal phases of a 2-dimensional model of ⁴He described by the Aziz potential, at zero temperature. We first develop a systematic treatment of the theory as it applies to the geometry of the Bose quantum solid. We apply the theory by introducing correlations with lattice symmetry to the high-density liquid allowing the one- and two-particle distribution functions to form inhomogeneous structure characteristic of the solid. We study the effects that these anisotropies have on the total energy as a function of density. The energy, pair-distribution function, structure factor, one-body density, and particle-hole potential are computed for the liquid and crystal phases at several densities. The energy results are compared with a Monte Carlo simulation. The densities at which melting and freezing occurs are determined by a Maxwell double-tangent construction on the equation of state. |
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| Item Description: | Vita. "Major Subject: Physics". In title numerals are used. |
| Physical Description: | xi, 106 leaves : illustrations ; 28 cm. Issued also on microfiche from University Microfilm Inc. |
| Bibliography: | Includes bibliographical references (leaves 101-102). |