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Estimating Thermodynamic Quantities Far from Equilibrium
Estimating Thermodynamic Quantities Far from Equilibrium  / Travis Leadbetter
Estimating Thermodynamic Quantities Far from Equilibrium

상세정보

자료유형  
 학위논문 서양
최종처리일시  
20260311091459.5
ISBN  
9798280761834
DDC  
536.7
저자명  
Leadbetter, Travis
서명/저자  
Estimating Thermodynamic Quantities Far from Equilibrium / Travis Leadbetter
발행사항  
[Sl] : University of Pennsylvania, 2025
형태사항  
1 electronic resource (213 pages)
주기사항  
Source: Dissertations Abstracts International, Volume: 86-12, Section: B.
주기사항  
Advisors: Reina, Celia; Purohit, Prashant K. Committee members: Mori, Yoichiro.
학위논문주기  
- Ph.D. : University of Pennsylvania, 2025.
초록/해제  
요약In this thesis, a novel framework for constructing macroscopic thermodynamic models arbitrarily far away from equilibrium is presented. This method, rooted in an approximation of the fundamental thermodynamic quantities from stochastic thermodynamics, establishes a connection between microscopic particle systems governed by overdamped Langevin dynamics at a well defined temperature and popular non-equilibrium thermodynamics models used at the macroscopic scale, namely thermodynamics with internal variables and the so-called GENERIC framework. We refer to this new framework as Stochastic Thermodynamics with Internal Variables (STIV). One need only specify a parameterized approximation to the system's density of states, and the STIV framework provides both dynamic and thermodynamic equations without additional phenomenological assumptions or the need to fit to data. The various applications laid out within, including those of the unfolding of coiled-coil proteins, and protein diffusion on DNA, demonstrate both the framework's flexibility and accuracy.Additionally, in the final chapter of this thesis, we highlight how a stochastic model of cross-link bonding can be tuned to produce a wide range of rheological behavior. In particular, for bonding energies with quadratic minima and assuming bond breaking is accelerated due to applied force (as is most often true), the stochastic bonds model predicts a shear thinning response to applied shearing. Finally, Kinetic Monte Carlo simulations and maximum likelihood estimation of model parameters are used to study bond energies and dissipation in solid bridges.
언어주기  
English
일반주제명  
Statistical physics
일반주제명  
Thermodynamics
일반주제명  
Applied mathematics
키워드  
Coarse graining
키워드  
Generic
키워드  
Gradient flow
키워드  
Internal variables
키워드  
Stochastic thermodynamics
기타저자  
University of Pennsylvania Applied Mathematics and Computational Science
기본자료저록  
Dissertations Abstracts International. 86-12B.
전자적 위치 및 접속  
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■24510▼aEstimating  Thermodynamic  Quantities  Far  from  Equilibrium  ▼cTravis  Leadbetter
■260    ▼a[Sl]▼bUniversity  of  Pennsylvania▼c2025
■264  1▼aAnn  Arbor▼bProQuest  Dissertations  &  Theses▼c2025
■300    ▼a1  electronic  resource  (213  pages)
■336    ▼atext▼btxt▼2rdacontent
■337    ▼acomputer▼bc▼2rdamedia
■338    ▼aonline  resource▼bcr▼2rdacarrier
■500    ▼aSource:  Dissertations  Abstracts  International,  Volume:  86-12,  Section:  B.
■500    ▼aAdvisors:  Reina,  Celia;  Purohit,  Prashant  K.    Committee  members:  Mori,  Yoichiro.
■5021  ▼bPh.D.▼cUniversity  of  Pennsylvania▼d2025.
■520    ▼aIn  this  thesis,  a  novel  framework  for  constructing  macroscopic  thermodynamic  models  arbitrarily  far  away  from  equilibrium  is  presented.  This  method,  rooted  in  an  approximation  of  the  fundamental  thermodynamic  quantities  from  stochastic  thermodynamics,  establishes  a  connection  between  microscopic  particle  systems  governed  by  overdamped  Langevin  dynamics  at  a  well  defined  temperature  and  popular  non-equilibrium  thermodynamics  models  used  at  the  macroscopic  scale,  namely  thermodynamics  with  internal  variables  and  the  so-called  GENERIC  framework.  We  refer  to  this  new  framework  as  Stochastic  Thermodynamics  with  Internal  Variables  (STIV).  One  need  only  specify  a  parameterized  approximation  to  the  system's  density  of  states,  and  the  STIV  framework  provides  both  dynamic  and  thermodynamic  equations  without  additional  phenomenological  assumptions  or  the  need  to  fit  to  data.  The  various  applications  laid  out  within,  including  those  of  the  unfolding  of  coiled-coil  proteins,  and  protein  diffusion  on  DNA,  demonstrate  both  the  framework's  flexibility  and  accuracy.Additionally,  in  the  final  chapter  of  this  thesis,  we  highlight  how  a  stochastic  model  of  cross-link  bonding  can  be  tuned  to  produce  a  wide  range  of  rheological  behavior.  In  particular,  for  bonding  energies  with  quadratic  minima  and  assuming  bond  breaking  is  accelerated  due  to  applied  force  (as  is  most  often  true),  the  stochastic  bonds  model  predicts  a  shear  thinning  response  to  applied  shearing.  Finally,  Kinetic  Monte  Carlo  simulations  and  maximum  likelihood  estimation  of  model  parameters  are  used  to  study  bond  energies  and  dissipation  in  solid  bridges.
■546    ▼aEnglish
■590    ▼aSchool  code:  0175
■650  4▼aStatistical  physics
■650  4▼aThermodynamics
■650  4▼aApplied  mathematics
■653    ▼aCoarse  graining
■653    ▼aGeneric
■653    ▼aGradient  flow
■653    ▼aInternal  variables
■653    ▼aStochastic  thermodynamics
■7102  ▼aUniversity  of  Pennsylvania▼bApplied  Mathematics  and  Computational  Science.▼edegree  granting  institution.
■7201  ▼aReina,  Celia▼edegree  supervisor.
■7201  ▼aPurohit,  Prashant  K.▼edegree  supervisor.
■7730  ▼tDissertations  Abstracts  International▼g86-12B.
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17357318▼nKERIS▼z이  자료의  원문은  한국교육학술정보원에서  제공합니다.

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