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UID:15d4ffee85d7f0d6e3268d25e69be781
CATEGORIES:Mathematical Physics Seminar
CREATED:20221028T114544
SUMMARY:The Thermodynamic Structure of Short-Range Spin Glasses
LOCATION:Zoom
DESCRIPTION:Abstract: The thermodynamics of spin glasses, and more generally the statis
 tical mechanics of quenched disorder,  is a problem of general interest to 
 physicists and mathematicians from multiple disciplines and backgrounds. It
 s importance was recognized in 2021 with the awarding of the Nobel Prize in
  Physics to Giorgio Parisi for his replica symmetry breaking solution of th
 e Sherrington-Kirkpatrick model (a mean-field model of spin glasses) and it
 s application to other problems in complex systems.\nI will begin with a br
 ief review of the main features of replica symmetry breaking, including an 
 application to physical systems. I will then turn to the problem of underst
 anding the nature of the spin glass phase in nearest-neighbor spin glass mo
 dels in finite dimensions. The central question to be addressed is the natu
 re of broken symmetry in these systems. This is still a subject of controve
 rsy, and although the issues surrounding it have become more sharply define
 d in recent years, it remains an open question.  I will explore this proble
 m, introducing a new mathematical construct called the metastate, to arrive
  at a unified picture of our current understanding of the structure of the 
 spin glass phase in finite dimensions. \n
X-ALT-DESC;FMTTYPE=text/html:Abstract: The thermodynamics of spin glasses, and more generally the statis
 tical mechanics of quenched disorder,  is a problem of general interest to 
 physicists and mathematicians from multiple disciplines and backgrounds. It
 s importance was recognized in 2021 with the awarding of the Nobel Prize in
  Physics to Giorgio Parisi for his replica symmetry breaking solution of th
 e Sherrington-Kirkpatrick model (a mean-field model of spin glasses) and it
 s application to other problems in complex systems.<br />I will begin with 
 a brief review of the main features of replica symmetry breaking, including
  an application to physical systems. I will then turn to the problem of und
 erstanding the nature of the spin glass phase in nearest-neighbor spin glas
 s models in finite dimensions. The central question to be addressed is the 
 nature of broken symmetry in these systems. This is still a subject of cont
 roversy, and although the issues surrounding it have become more sharply de
 fined in recent years, it remains an open question.  I will explore this pr
 oblem, introducing a new mathematical construct called the metastate, to ar
 rive at a unified picture of our current understanding of the structure of 
 the spin glass phase in finite dimensions. <br />
CONTACT:Daniel Stein – New York University
DTSTAMP:20260930T205016
DTSTART;TZID=America/New_York:20221102T104500
DTEND;TZID=America/New_York:20221102T114500
SEQUENCE:0
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