{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/25229"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/25229","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Landau model for films and interfaces of superfluid 4HE at T=OK","abstract":"We use a Landau theory appropriate to an inhomogeneous superfluid at temperature T = 0 to describe structural and dynamical effects at a gas/superfluid interface and for a superfluid film on an inert attractive substrate. The parameters of the theory are determined phenomenologically by fitting measured bulk properties of the homogeneous superfluid. The theory then predicts in a consistent way both static properties (density profile, interface/surface tension) and excitations (ripplons, phonons, and their associated wavefunctions). The simplicity of the theory makes the connection between the symmetries of the system and the form of the excitation spectra particularly transparent. In Chapter II, we take the Landau free-energy functional to be local. This restriction precludes description of rotan effects. Numerical results are, as a consequence, not quantitative; however, calculations are easy enough so that generic features of the spectra and wavefunctions can be illustrated conveniently. In Chapter III, we allow nonlocality in the free-energy functional, making it possible to incorporate rotan effects. Two solid-like near-substrate layers then appear in the film profiles, followed by liquid. The surface tension obtained is more realistic than that of the local model. A surface excitation spectrum with a raton-like minimum has been obtained for both a gas/liquid interface and a film on a graphite substrate. The third-sound velocities c3 vs. ~P show oscillations characteristic of the layer structure, which are consistent with measured data if a proper substrate potential is chosen. A possible form of the effective van der Waals potential of a graphite substrate, which can explain most experimental observations, is suggested.","abstract_html":"We use a Landau theory appropriate to an inhomogeneous superfluid at temperature T = 0 to describe structural and dynamical effects at a gas/superfluid interface and for a superfluid film on an inert attractive substrate. The parameters of the theory are determined phenomenologically by fitting measured bulk properties of the homogeneous superfluid. The theory then predicts in a consistent way both static properties (density profile, interface/surface tension) and excitations (ripplons, phonons, and their associated wavefunctions). The simplicity of the theory makes the connection between the symmetries of the system and the form of the excitation spectra particularly transparent. In Chapter II, we take the Landau free-energy functional to be local. This restriction precludes description of rotan effects. Numerical results are, as a consequence, not quantitative; however, calculations are easy enough so that generic features of the spectra and wavefunctions can be illustrated conveniently. In Chapter III, we allow nonlocality in the free-energy functional, making it possible to incorporate rotan effects. Two solid-like near-substrate layers then appear in the film profiles, followed by liquid. The surface tension obtained is more realistic than that of the local model. A surface excitation spectrum with a raton-like minimum has been obtained for both a gas/liquid interface and a film on a graphite substrate. The third-sound velocities c3 vs. ~P show oscillations characteristic of the layer structure, which are consistent with measured data if a proper substrate potential is chosen. A possible form of the effective van der Waals potential of a graphite substrate, which can explain most experimental observations, is suggested.","abstract_has_math":false,"creators":["Ji, Guangda"],"institution":null,"degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["Wortis, M."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011-06-02T17:30:29Z","date_published":"2011-06-02T17:30:29Z","updated_at":"2026-07-22T22:25:24Z","subjects":["Landau model","superfluid 4He","free-energy","zero kelvin"],"languages":["en"],"rights":["1986 Guangda Ji"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["1001000"],"render_values":[{"text":"1001000","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/25229","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Wortis, M."]},{"key":"dc:creator","label":"Author","values":["Ji, Guangda"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2011-06-02T17:30:29Z","10000-01-01","1986"]},{"key":"dc:type","label":"Dc Type","values":["Dissertation / Thesis","text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Physics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Landau model","superfluid 4He","free-energy","zero kelvin"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["1986 Guangda Ji"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["1001000","http://hdl.handle.net/2142/25229"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["We use a Landau theory appropriate to an inhomogeneous superfluid at temperature T = 0 to describe structural and dynamical effects at a gas/superfluid interface and for a superfluid film on an inert attractive substrate. The parameters of the theory are determined phenomenologically by fitting measured bulk properties of the homogeneous superfluid. The theory then predicts in a consistent way both static properties (density profile, interface/surface tension) and excitations (ripplons, phonons, and their associated wavefunctions). The simplicity of the theory makes the connection between the symmetries of the system and the form of the excitation spectra particularly transparent. In Chapter II, we take the Landau free-energy functional to be local. This restriction precludes description of rotan effects. Numerical results are, as a consequence, not quantitative; however, calculations are easy enough so that generic features of the spectra and wavefunctions can be illustrated conveniently. In Chapter III, we allow nonlocality in the free-energy functional, making it possible to incorporate rotan effects. Two solid-like near-substrate layers then appear in the film profiles, followed by liquid. The surface tension obtained is more realistic than that of the local model. A surface excitation spectrum with a raton-like minimum has been obtained for both a gas/liquid interface and a film on a graphite substrate. The third-sound velocities c3 vs. ~P show oscillations characteristic of the layer structure, which are consistent with measured data if a proper substrate potential is chosen. A possible form of the effective van der Waals potential of a graphite substrate, which can explain most experimental observations, is suggested.","Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-06-02T17:30:29Z No. of bitstreams: 1 1986_Ji.pdf: 2132102 bytes, checksum: 33a2f8927ce96dc3512a5897e1228b72 (MD5)","Made available in DSpace on 2011-06-02T17:30:29Z (GMT). No. of bitstreams: 1 1986_Ji.pdf: 2132102 bytes, checksum: 33a2f8927ce96dc3512a5897e1228b72 (MD5) Previous issue date: 1986","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Carolyn Mead (cmead2@illinois.edu) on 2011-06-02T17:30:30Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:15:05-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: Thesis","Thesis","U of I Only"]},{"key":"dc:title","label":"Title","values":["Landau model for films and interfaces of superfluid 4HE at T=OK"]}]}],"canonical_facts":{"dc:contributor":["Wortis, M."],"dc:creator":["Ji, Guangda"],"dc:date":["2011-06-02T17:30:29Z","10000-01-01","1986"],"dc:description":["We use a Landau theory appropriate to an inhomogeneous superfluid at temperature T = 0 to describe structural and dynamical effects at a gas/superfluid interface and for a superfluid film on an inert attractive substrate. The parameters of the theory are determined phenomenologically by fitting measured bulk properties of the homogeneous superfluid. The theory then predicts in a consistent way both static properties (density profile, interface/surface tension) and excitations (ripplons, phonons, and their associated wavefunctions). The simplicity of the theory makes the connection between the symmetries of the system and the form of the excitation spectra particularly transparent. In Chapter II, we take the Landau free-energy functional to be local. This restriction precludes description of rotan effects. Numerical results are, as a consequence, not quantitative; however, calculations are easy enough so that generic features of the spectra and wavefunctions can be illustrated conveniently. In Chapter III, we allow nonlocality in the free-energy functional, making it possible to incorporate rotan effects. Two solid-like near-substrate layers then appear in the film profiles, followed by liquid. The surface tension obtained is more realistic than that of the local model. A surface excitation spectrum with a raton-like minimum has been obtained for both a gas/liquid interface and a film on a graphite substrate. The third-sound velocities c3 vs. ~P show oscillations characteristic of the layer structure, which are consistent with measured data if a proper substrate potential is chosen. A possible form of the effective van der Waals potential of a graphite substrate, which can explain most experimental observations, is suggested.","Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-06-02T17:30:29Z No. of bitstreams: 1 1986_Ji.pdf: 2132102 bytes, checksum: 33a2f8927ce96dc3512a5897e1228b72 (MD5)","Made available in DSpace on 2011-06-02T17:30:29Z (GMT). No. of bitstreams: 1 1986_Ji.pdf: 2132102 bytes, checksum: 33a2f8927ce96dc3512a5897e1228b72 (MD5) Previous issue date: 1986","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Carolyn Mead (cmead2@illinois.edu) on 2011-06-02T17:30:30Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:15:05-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: Thesis","Thesis","U of I Only"],"dc:identifier":["1001000","http://hdl.handle.net/2142/25229"],"dc:language":["en"],"dc:rights":["1986 Guangda Ji"],"dc:subject":["Landau model","superfluid 4He","free-energy","zero kelvin"],"dc:title":["Landau model for films and interfaces of superfluid 4HE at T=OK"],"dc:type":["Dissertation / Thesis","text"],"thesis:degree_discipline":["Physics"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."]},"updated_at":"2026-07-22T22:25:24Z"}