prikaz prve stranice dokumenta Path integral Monte Carlo study of superfluid 4He in disordered narrow nanopores
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master's thesis
Path integral Monte Carlo study of superfluid 4He in disordered narrow nanopores
Split: University of Split, University of Split, Faculty of science, 2017. urn:nbn:hr:166:921286
Vrcan, Hrvoje
University of Split
Faculty of Science
Department of Physics

Institutional repository: Repository of Faculty of Science

Cite this document

Vrcan, H. (2017). Path integral Monte Carlo study of superfluid 4He in disordered narrow nanopores (Master's thesis). Split: University of Split, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:166:921286

Vrcan, Hrvoje. "Path integral Monte Carlo study of superfluid 4He in disordered narrow nanopores." Master's thesis, University of Split, Faculty of Science, 2017. https://urn.nsk.hr/urn:nbn:hr:166:921286

Vrcan, Hrvoje. "Path integral Monte Carlo study of superfluid 4He in disordered narrow nanopores." Master's thesis, University of Split, Faculty of Science, 2017. https://urn.nsk.hr/urn:nbn:hr:166:921286

Vrcan, H. (2017). 'Path integral Monte Carlo study of superfluid 4He in disordered narrow nanopores', Master's thesis, University of Split, Faculty of Science, accessed 02 August 2024, https://urn.nsk.hr/urn:nbn:hr:166:921286

Vrcan H. Path integral Monte Carlo study of superfluid 4He in disordered narrow nanopores [Master's thesis]. Split: University of Split, Faculty of Science; 2017 [cited 2024 August 02] Available at: https://urn.nsk.hr/urn:nbn:hr:166:921286

H. Vrcan, "Path integral Monte Carlo study of superfluid 4He in disordered narrow nanopores", Master's thesis, University of Split, Faculty of Science, Split, 2017. Available at: https://urn.nsk.hr/urn:nbn:hr:166:921286

Metadata
TitlePath integral Monte Carlo study of superfluid 4He in disordered narrow nanopores
Title (croatian)Istraživanje suprafluidnog 4He u uskim nanoporama s neredom metodom Monte Carlo integrala po stazama
AuthorHrvoje Vrcan
MentorLeandra Vranješ Markić (mentor)
Committee memberLeandra Vranješ Markić (predsjednik povjerenstva)
Committee memberFranjo Sokolić (član povjerenstva)
Committee memberPetar Stipanović (član povjerenstva)
GranterUniversity of Split
Faculty of Science
(Department of Physics)
Split
Defense date and country2017-07-14, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
Abstract
We present a research of low-energy 4He system conned in a nanopore. The system is studied with Monte Carlo simulations in path integral formulation of quantum mechanics (PIMC simulations), and the underlying theory is provided. Nanopores are set to a narrow radius R = 3˚ A, with the addition of disorder in the form of ctitious atoms scattered randomly around the surface. This system is expected to scale as a Luttinger liquid - a low-energy eective model of one-dimensional systems, which was conrmed for helium in nanopores without disorder. In this work we particularly study the predicted scaling of superuid fraction with the temperature and length of the nanopore. The superuid fraction is calculated using PIMC simulations. The obtained data do not t the theoretical predictions well, that is large χ2 values are obtained. We discuss the disagreement of the results with the theory of 1D systems.
Abstract (croatian)
Predstavljamo istraživanje 4He adsorbiranog u nanopori na niskim energijama. Sustav je proučavan metodom Monte Carlo simulacija u formalizmu kvantne mehanike integrala po stazama (PIMC simulacije), čija je osnovna teorija objašnjena u radu. Odabran je model uskih nanopora, radijusa R = 3˚ A, s dodatkom nereda u obliku ktivnih atoma rasporeenih nasumično blizu površine. Od ovakvog sustava se očekuje skaliranje kao kod Luttingerove tekućine - niskoenergijskog modela jednodimenzionalih sustava, što je potvreno za helij u nanoporama bez nereda. U ovom radu posebno proučavamo skaliranje udjela suprauida s temperaturom i duljinom nanopore. Udio suprauida izračunali smo korištenjem PIMC simulacija. Dobiveni podaci ne slažu se dobro s teorijskim predvianjima, odnosno dobivene su velike vrijednosti χ2-a. Diskutiramo neslaganje rezultata s teorijom 1D sustava.
Keywords
Keywords (croatian)
Languageenglish
URN:NBNurn:nbn:hr:166:921286
Study programmeTitle: Physics; specializations in: major in teaching, major in Astrophysics, major in Biophysics, major in Enviromental physics, major in Computational physics
Course: major in Computational physics
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra fizike (magistar/magistra fizike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Embargo expiration date: 2018-07-20
Terms of useLicence Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) icon
Created on2018-02-22 16:35:49