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undergraduate thesis
Osnove analitičkih modela 1D i 2D Ising modela
2018. urn:nbn:hr:166:809627
Pavić, Stjepan
University of Split
Faculty of Science
Department of Physics

Cite this document

Pavić, S. (2018). Osnove analitičkih modela 1D i 2D Ising modela (Undergraduate thesis). Split: University of Split, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:166:809627

Pavić, Stjepan. "Osnove analitičkih modela 1D i 2D Ising modela." Undergraduate thesis, University of Split, Faculty of Science, 2018. https://urn.nsk.hr/urn:nbn:hr:166:809627

Pavić, Stjepan. "Osnove analitičkih modela 1D i 2D Ising modela." Undergraduate thesis, University of Split, Faculty of Science, 2018. https://urn.nsk.hr/urn:nbn:hr:166:809627

Pavić, S. (2018). 'Osnove analitičkih modela 1D i 2D Ising modela', Undergraduate thesis, University of Split, Faculty of Science, accessed 29 October 2024, https://urn.nsk.hr/urn:nbn:hr:166:809627

Pavić S. Osnove analitičkih modela 1D i 2D Ising modela [Undergraduate thesis]. Split: University of Split, Faculty of Science; 2018 [cited 2024 October 29] Available at: https://urn.nsk.hr/urn:nbn:hr:166:809627

S. Pavić, "Osnove analitičkih modela 1D i 2D Ising modela", Undergraduate thesis, University of Split, Faculty of Science, Split, 2018. Available at: https://urn.nsk.hr/urn:nbn:hr:166:809627

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Metadata
TitleOsnove analitičkih modela 1D i 2D Ising modela
Title (english)Basics of exact solutions for 1D and 2D Ising models
AuthorStjepan Pavić
MentorLarisa Zoranić (mentor)
Committee memberLarisa Zoranić (predsjednik povjerenstva)
Committee memberŽeljana Bonačić Lošić (član povjerenstva)
Committee memberViktor Cikojević (član povjerenstva)
GranterUniversity of Split
Faculty of Science
(Department of Physics)
Split
Defense date and country2018-09-27, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
Abstract
Isingov model sustav magnetskih spinova poredanih u mrežu. U radu su opisana analitička rješenja jednodimenzionalnog modela preko metode transfernih matrica i dvodimenzionalnog modela kombinatoričkommetodom. Nadalje se prikazuje Baxterova ideja putem zvijezda-trokut transformacije mreže i na kraju se daje c++ kod gdje se Monte Carlo metodom i Metropolis algoritmom simulira dinamika kvadratne dvodimenzionalne mreže spinova pri različitim temperaturama. Cilj je prikazati načine rješavanja matematički naizgled jednostavnog, ali u stvarnosti vrlo kompleksnog modela koji je dao opis za feromagnetski/paramagnetski fazni prijelaz.
Abstract (english)
Ising model is a description given for a set of magnetic mooments on a grid. This thesis presents exact analytical solutions for one-dimensional Ising model using the matrix transfer method and two-dimensional model using combinatorial method. Further on it shows Baxter’s star-triangle transformations and a c++ code for Monte-Carlo simulation over Metropolis algorithm showing the dynamics of a 2D square lattice for different temperatures. The goal is to show mathematical method for solving initially easy to setup, but very hard to solve problems that have direct impact on physics and describe feromagnetic/paramagnetic phase transtition.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:166:809627
Study programmeTitle: Physics
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) fizike (sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) fizike)
Type of resourceText
File originBorn digital
Access conditionsAccess restricted to students and staff of home institution
Terms of useLicence In copyright icon
Created on2019-01-18 15:33:07