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Towards real spin glasses: Ground st...

Harvard University.

Towards real spin glasses: Ground states and dynamics.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Towards real spin glasses: Ground states and dynamics.
Author:	White, Olivia Lawrence.
Description:	290 p.
Notes:	Adviser: Daniel S. Fisher.
Notes:	Source: Dissertation Abstracts International, Volume: 67-02, Section: B, page: 0952.
Contained By:	Dissertation Abstracts International67-02B.
Subject:	Physics, Condensed Matter.
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3205957
ISBN:	9780542549618

Towards real spin glasses: Ground states and dynamics.
White, Olivia Lawrence.

Towards real spin glasses: Ground states and dynamics. - 290 p.

Adviser: Daniel S. Fisher.

Thesis (Ph.D.)--Harvard University, 2006.

Spin glasses are paradigmatic examples of systems with quenched disorder. They fall out of equilibrium at sufficiently low temperatures, at which point their dynamics becomes extremely history-dependent. Despite thirty years of study, the nature of the possible spin glass phase remains controversial as does its relation to the way in which spatial structures and correlations evolve over time in an out-of-equilibrium spin glass. This thesis frames a set of broad underlying questions about spin-glass ground states and spin-glass dynamics and provides answers to some among them. First, the basic form of the spin-glass phase diagram is considered. A new scaling approach to experimental magnetic susceptibility data is introduced to investigate the controversial question of whether three-dimensional spin glasses undergo a phase transition in a field. Next, the nature of the spin glass phase is considered. A possible phase in short-range spin glasses exhibiting infinitely many equilibrium states is proposed and characterized in real space. Some models with correlations in their exchange interactions are argued to exhibit this phase and their potential relation to infinite-range models is discussed. The relation of out-of-equilibrium dynamics to underlying ground state structure is then explored. As time passes, a length scale over which the system is locally equilibrated must grow as must a length scale associated with regions of infinite system order. The relation between these two length scales is examined. Equilibration dynamics is considered for particular examples of spin-glass-like systems both with two ground states and with many ground states. Experiments with scanning probes in equilibrating systems are proposed. Identifying experimental signatures associated with different ground state structures are discussed and experimental ways to quantify the history-dependence of dynamics are suggested.

ISBN: 9780542549618Subjects--Topical Terms:

226939
Physics, Condensed Matter.

Towards real spin glasses: Ground states and dynamics.
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245 1 0 $a Towards real spin glasses: Ground states and dynamics.
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500 $a Source: Dissertation Abstracts International, Volume: 67-02, Section: B, page: 0952.
502 $a Thesis (Ph.D.)--Harvard University, 2006.
520 # $a Spin glasses are paradigmatic examples of systems with quenched disorder. They fall out of equilibrium at sufficiently low temperatures, at which point their dynamics becomes extremely history-dependent. Despite thirty years of study, the nature of the possible spin glass phase remains controversial as does its relation to the way in which spatial structures and correlations evolve over time in an out-of-equilibrium spin glass. This thesis frames a set of broad underlying questions about spin-glass ground states and spin-glass dynamics and provides answers to some among them. First, the basic form of the spin-glass phase diagram is considered. A new scaling approach to experimental magnetic susceptibility data is introduced to investigate the controversial question of whether three-dimensional spin glasses undergo a phase transition in a field. Next, the nature of the spin glass phase is considered. A possible phase in short-range spin glasses exhibiting infinitely many equilibrium states is proposed and characterized in real space. Some models with correlations in their exchange interactions are argued to exhibit this phase and their potential relation to infinite-range models is discussed. The relation of out-of-equilibrium dynamics to underlying ground state structure is then explored. As time passes, a length scale over which the system is locally equilibrated must grow as must a length scale associated with regions of infinite system order. The relation between these two length scales is examined. Equilibration dynamics is considered for particular examples of spin-glass-like systems both with two ground states and with many ground states. Experiments with scanning probes in equilibrating systems are proposed. Identifying experimental signatures associated with different ground state structures are discussed and experimental ways to quantify the history-dependence of dynamics are suggested.
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