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Determination of Bulk Properties From Statistical Fluctuation in Many-Body Systems
Determination of Bulk Properties From Statistical Fluctuation in Many-Body Systems
Determination of Bulk Properties From Statistical Fluctuation in Many-Body Systems

Detailed Information

Material Type  
 단행본
 
0017165176
Date and Time of Latest Transaction  
20250211153132
ISBN  
9798346853244
DDC  
530
Author  
Pozderac, Calvin.
Title/Author  
Determination of Bulk Properties From Statistical Fluctuation in Many-Body Systems
Publish Info  
[Sl] : The Ohio State University, 2024
Publish Info  
Ann Arbor : ProQuest Dissertations & Theses, 2024
Material Info  
139 p
General Note  
Source: Dissertations Abstracts International, Volume: 86-06, Section: B.
General Note  
Advisor: Skinner, Brian.
학위논문주기  
Thesis (Ph.D.)--The Ohio State University, 2024.
Abstracts/Etc  
요약In this thesis, we explore the emergent behaviors of complex systems across various domains, unified by underlying principles from statistical mechanics. We begin with a study of fracton dynamics in a one-dimensional random circuit model where particles move under constraints of both charge and dipole conservation. This model exhibits a continuous phase transition from a thermalizing to a nonthermalizing phase as a function of particle density. Through combinatorial mappings, we identify an exact solution for the critical density of nc = 1/(ℓ − 2), where ℓ is the spatial range of particle interactions, and reveal a universal correlation length exponent ν = 2, with critical scaling confirmed by numerical simulations.Next, we examine electron hydrodynamic flow in two dimensions, where electric current forms narrow channels guided by potential energy contours. In periodic (moire) potentials, hydrodynamic flow produces linear-in-temperature, T, resistivity, while random potentials lead to resistivity scaling as T10/3 due to increasingly tortuous equipotential paths.We then address the phenomenon of superspreading in epidemics, as exemplified by early SARS-CoV-2 transmission. By analyzing early case growth rates across subpopulations, we estimate high variance in individual infectiousness, suggesting that over 81% of new infections were due to the top 10% of infectious individuals in the early pandemic stages in the U.S., highlighting the fat-tailed distribution of infectiousness.Finally, we investigate Johnson noise in two-dimensional conductors, deriving general relations between the Johnson noise temperature and heat flux. Assuming the electron system obeys the Wiedemann-Franz law, we show a universal relationship for temperature increase due to Joule heating and connect Johnson noise to heat flux in systems with external heating sources.
Subject Added Entry-Topical Term  
Physics
Subject Added Entry-Topical Term  
Applied physics
Subject Added Entry-Topical Term  
Particle physics
Index Term-Uncontrolled  
Fracton dynamics
Index Term-Uncontrolled  
Electric current
Index Term-Uncontrolled  
Particle interactions
Index Term-Uncontrolled  
Joule heating
Added Entry-Corporate Name  
The Ohio State University Physics
Host Item Entry  
Dissertations Abstracts International. 86-06B.
Electronic Location and Access  
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■040    ▼aMiAaPQ▼cMiAaPQ
■0820  ▼a530
■1001  ▼aPozderac,  Calvin.
■24510▼aDetermination  of  Bulk  Properties  From  Statistical  Fluctuation  in  Many-Body  Systems
■260    ▼a[Sl]▼bThe  Ohio  State  University▼c2024
■260  1▼aAnn  Arbor▼bProQuest  Dissertations  &  Theses▼c2024
■300    ▼a139  p
■500    ▼aSource:  Dissertations  Abstracts  International,  Volume:  86-06,  Section:  B.
■500    ▼aAdvisor:  Skinner,  Brian.
■5021  ▼aThesis  (Ph.D.)--The  Ohio  State  University,  2024.
■520    ▼aIn  this  thesis,  we  explore  the  emergent  behaviors  of  complex  systems  across  various  domains,  unified  by  underlying  principles  from  statistical  mechanics.  We  begin  with  a  study  of  fracton  dynamics  in  a  one-dimensional  random  circuit  model  where  particles  move  under  constraints  of  both  charge  and  dipole  conservation.  This  model  exhibits  a  continuous  phase  transition  from  a  thermalizing  to  a  nonthermalizing  phase  as  a  function  of  particle  density.  Through  combinatorial  mappings,  we  identify  an  exact  solution  for  the  critical  density  of  nc  =  1/(ℓ  −  2),  where  ℓ  is  the  spatial  range  of  particle  interactions,  and  reveal  a  universal  correlation  length  exponent  ν  =  2,  with  critical  scaling  confirmed  by  numerical  simulations.Next,  we  examine  electron  hydrodynamic  flow  in  two  dimensions,  where  electric  current  forms  narrow  channels  guided  by  potential  energy  contours.  In  periodic  (moire)  potentials,  hydrodynamic  flow  produces  linear-in-temperature,  T,  resistivity,  while  random  potentials  lead  to  resistivity  scaling  as  T10/3  due  to  increasingly  tortuous  equipotential  paths.We  then  address  the  phenomenon  of  superspreading  in  epidemics,  as  exemplified  by  early  SARS-CoV-2  transmission.  By  analyzing  early  case  growth  rates  across  subpopulations,  we  estimate  high  variance  in  individual  infectiousness,  suggesting  that  over  81%  of  new  infections  were  due  to  the  top  10%  of  infectious  individuals  in  the  early  pandemic  stages  in  the  U.S.,  highlighting  the  fat-tailed  distribution  of  infectiousness.Finally,  we  investigate  Johnson  noise  in  two-dimensional  conductors,  deriving  general  relations  between  the  Johnson  noise  temperature  and  heat  flux.  Assuming  the  electron  system  obeys  the  Wiedemann-Franz  law,  we  show  a  universal  relationship  for  temperature  increase  due  to  Joule  heating  and  connect  Johnson  noise  to  heat  flux  in  systems  with  external  heating  sources.
■590    ▼aSchool  code:  0168.
■650  4▼aPhysics
■650  4▼aApplied  physics
■650  4▼aParticle  physics
■653    ▼aFracton  dynamics
■653    ▼aElectric  current
■653    ▼aParticle  interactions
■653    ▼aJoule  heating
■690    ▼a0605
■690    ▼a0798
■690    ▼a0215
■71020▼aThe  Ohio  State  University▼bPhysics.
■7730  ▼tDissertations  Abstracts  International▼g86-06B.
■790    ▼a0168
■791    ▼aPh.D.
■792    ▼a2024
■793    ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17165176▼nKERIS▼z이  자료의  원문은  한국교육학술정보원에서  제공합니다.

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