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doctoral thesis
Phase transitions in driven diffusive systems far from equilibrium
Zagreb: University of Zagreb, Faculty of Science, 2011. urn:nbn:hr:217:354748
Szavits Nossan, Juraj
University of Zagreb
Faculty of Science
Department of Physics

Institutional repository: Repository of the Faculty of Science

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Szavits Nossan, J. (2011). Phase transitions in driven diffusive systems far from equilibrium (Doctoral thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:354748

Szavits Nossan, Juraj. "Phase transitions in driven diffusive systems far from equilibrium." Doctoral thesis, University of Zagreb, Faculty of Science, 2011. https://urn.nsk.hr/urn:nbn:hr:217:354748

Szavits Nossan, Juraj. "Phase transitions in driven diffusive systems far from equilibrium." Doctoral thesis, University of Zagreb, Faculty of Science, 2011. https://urn.nsk.hr/urn:nbn:hr:217:354748

Szavits Nossan, J. (2011). 'Phase transitions in driven diffusive systems far from equilibrium', Doctoral thesis, University of Zagreb, Faculty of Science, accessed 26 December 2024, https://urn.nsk.hr/urn:nbn:hr:217:354748

Szavits Nossan J. Phase transitions in driven diffusive systems far from equilibrium [Doctoral thesis]. Zagreb: University of Zagreb, Faculty of Science; 2011 [cited 2024 December 26] Available at: https://urn.nsk.hr/urn:nbn:hr:217:354748

J. Szavits Nossan, "Phase transitions in driven diffusive systems far from equilibrium", Doctoral thesis, University of Zagreb, Faculty of Science, Zagreb, 2011. Available at: https://urn.nsk.hr/urn:nbn:hr:217:354748

Metadata
TitlePhase transitions in driven diffusive systems far from equilibrium
Title (croatian)Fazni prijelazi u vođenim difuzijskim sustavima daleko od ravnoteže
AuthorJuraj Szavits Nossan
MentorKatarina Uzelac (mentor)
Committee memberSlaven Barišić (predsjednik povjerenstva)
Committee memberKatarina Uzelac (član povjerenstva)
Committee memberGunter M. Schuetz (član povjerenstva)
strani drzavljanin: Nije dostupno
Committee memberDenis Sunko (član povjerenstva)
Committee memberAntonije Dulčić (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Physics)
Zagreb
Defense date and country2011-10-20, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
Universal decimal classification
(UDC)		53 - Physics
Abstract
Nonequilibrium phase transitions are studied in several proposed generalizations of the asymmetric simple exclusion process (ASEP). ASEP is a simple model belonging to the class of so-called driven diffusive systems maintained far from equilibrium by external field and nonequilibrium boundary conditions. We propose a generalization of ASEP that replaces short-range with long-range hopping, where hopping length l is taken from the probability distribution that follows a power law pι α ι−(1+σ) with σ > 1. Although the resulting phase diagram remains the same, we observe changes both at the first- and the second-order transition lines for 1 < σ < 2, while the short-range limit sets in for σ > 2. Using the same model we also address the long-standing question of whether a “slow” site in ASEP always induces phase separation. By including a “slow” site in the long-range model we show that the transition to the non-separated phase is possible and we find the exact transition point. In the case of finite concentration of defects (i.e. disorder), we show that contrary to the onedimensional case where disorder always induces phase separation, in the two-dimensional ASEP a regime exists in which phase separation is absent.
Abstract (croatian)
U ovom radu promatramo fazne prijelaze daleko od ravnoteže u nekoliko predloženih generalizacija tzv. asimetričnog jednostavnog procesa iskjučenja (skraćeno ASEP). ASEP je jednostavni model iz klase tzv. vođenih difuzijskih sustava koji se održavaju daleko od ravnoteže vanjskim poljem i/ili rubnim uvjetima. U prvom dijelu predlažemo generalizacija ASEP-a na dugodosežne skokove, pri čemu se duljina skoka bira iz raspodjele koja slijedi potencijski zakon pι α ι−(1+σ), gdje je σ > 1 parametar dosega. Iako dugodosežni model ima isti fazni dijagram kao i kratkodosežni, opažamo razlike na svim linijama prijelaza za 1 < σ < 2, dok kratkodosežna granica nastupa za σ > 2. Iz perspektive dugodosežnog modela razmatramo i ASEP s jednim defektnim čvorom koji usporava tok čestica i inducira separaciju faza. Za razliku od kratkodosežnog modela u kojem postoji otvoreno pitanje da li se separacija faza javlja za sve jačine defekta, u dugodosežnom modelu pokazujemo da je scenarij bez separacije moguć, te izvodimo egzaktnu točku prijelaza između dva režima. U slučaju konačne koncentracije defekata (tj. nereda) pokazujemo da u dvodimenzionalnom ASEP-u postoji režim u kojem separacije faza nema bez obzira na detalje nereda, za razliku od jednodimenzionalnog ASEP-a u kojem nered uvijek inducira separaciju faza.
Keywords
Keywords (croatian)
Languagecroatian
URN:NBNurn:nbn:hr:217:354748
Study programmeTitle: Physics
Study programme type: university
Study level: postgraduate
Academic / professional title: doktor/doktorica znanosti, područje prirodnih znanosti, polje fizika (doktor/doktorica znanosti, područje prirodnih znanosti, polje fizika)
Type of resourceText
Extent118 str.
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2017-08-23 12:48:44