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Effect of Disorder on First-Order Ph...

Bellafard, Arash.

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Effect of Disorder on First-Order Phase Transitions.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Effect of Disorder on First-Order Phase Transitions./
Author:	Bellafard, Arash.
Description:	128 p.
Notes:	Source: Dissertation Abstracts International, Volume: 76-10(E), Section: B.
Contained By:	Dissertation Abstracts International76-10B(E).
Subject:	Condensed matter physics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3705523
ISBN:	9781321786651

Effect of Disorder on First-Order Phase Transitions.
Bellafard, Arash.

Effect of Disorder on First-Order Phase Transitions. - 128 p.

Source: Dissertation Abstracts International, Volume: 76-10(E), Section: B.

Thesis (Ph.D.)--University of California, Los Angeles, 2015.

Disorder is an inevitable part of any condensed matter system and therefore its study has always been of great importance. The effect of quenched randomness on a system that exhibits a continuous phase transition in the absence of any impurity has been studied in the past and the results are relatively well understood. However, the effect of quenched randomness on first-order phase transitions is still not well understood. In this dissertation, we study the effect of quenched bond-randomness on the classical and quantum first-order phase transitions.

ISBN: 9781321786651Subjects--Topical Terms:

3173567
Condensed matter physics.

Effect of Disorder on First-Order Phase Transitions.
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100 1 $a Bellafard, Arash. $3 3192991
245 1 0 $a Effect of Disorder on First-Order Phase Transitions.
300 $a 128 p.
500 $a Source: Dissertation Abstracts International, Volume: 76-10(E), Section: B.
500 $a Adviser: Sudip Chakravarty.
502 $a Thesis (Ph.D.)--University of California, Los Angeles, 2015.
520 $a Disorder is an inevitable part of any condensed matter system and therefore its study has always been of great importance. The effect of quenched randomness on a system that exhibits a continuous phase transition in the absence of any impurity has been studied in the past and the results are relatively well understood. However, the effect of quenched randomness on first-order phase transitions is still not well understood. In this dissertation, we study the effect of quenched bond-randomness on the classical and quantum first-order phase transitions.
520 $a In Chapter 2, we study the effect of the disordered three-color Ashkin-Teller model, whose pure version undergoes a first-order phase transition. We show that the rounding of the first-order transition of the pure model due to the impurities is manifested as a critical point. We conclusively rule out that the model belongs to the universality class of the two-dimensional Ising model. Furthermore, we find that the exponents beta and nu vary with disorder and the four-spin coupling strength.
520 $a In Chapter 3, we extend our study of the disordered three-color Ashkin-Teller model. Utilizing extensive cluster Monte Carlo simulations on large lattice sizes of up to 128 x 128 spins, each of which is represented by three colors taking values +/-1, we show that the rounding of the first-order phase transition is an emergent criticality. We find that the critical exponents, nu and beta, change as the strength of disorder or the four-spin coupling varies, and we show that the correlation length critical exponent violates the lower bound 2/D ≤ nu, where D is the dimension of the system.
520 $a In Chapter 4, we study the quantum three-color Ashkin--Teller model and show that the quantum critical point in (1+1) dimension is an unusual one, with activated scaling at the critical point and Griffiths-McCoy phase away from it. We find that the behavior is similar to the transverse random field Ising model, even though the pure system has a first-order transition in this case.
590 $a School code: 0031.
650 4 $a Condensed matter physics. $3 3173567
690 $a 0611
710 2 $a University of California, Los Angeles. $b Physics. $3 3192579
773 0 $t Dissertation Abstracts International $g 76-10B(E).
790 $a 0031
791 $a Ph.D.
792 $a 2015
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3705523