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SUMMARY:Reading Ernst Ising’s dissertation hundred years on
DTSTART;VALUE=DATE-TIME:20240924T080000Z
DTEND;VALUE=DATE-TIME:20240924T084000Z
DTSTAMP;VALUE=DATE-TIME:20260723T013027Z
UID:indico-contribution-315@indico.bitp.kiev.ua
DESCRIPTION:Speakers: Yurij Holovatch (ICMP NASU\, Lviv)\nThe Ising model 
 is an archetype describing collective ordering processes. As such\, it is 
 widely known in physics and far beyond. Less known is the fact that the th
 esis defended by Ernst Ising 100 years ago under supervision of Wilhelm Le
 nz [1] contained not only the solution of what we call now the ‘classica
 l 1D Ising model’ but also other problems. Some of these problems are th
 e subject of this report [2\,3]. In particular\, I will discuss (i) a mode
 l proposed in 1922 by Walter Schottky and its relation to the Ising model 
 [2]\; (ii) the combinatorial method Ernst Ising used to calculate the part
 ition function for a chain of elementary magnets [3]\; (iii) the generaliz
 ations of the two-state model suggested in Ernst Ising’s thesis but not 
 exposed in his paper [3]. The talk is a part of an ongoing project that ai
 ms to prepare a bilingual\, commented edition of the doctoral thesis of Er
 nst Ising [4].\n\n[1]. Beitrag zur Theorie des Ferro- und Paramagnetismus.
  Dissertation zur Erlangung der Doktorwürde der Mathematisch–Naturwisse
 nschaftlichen Fakultät der Hamburgischen Universität vorgelegt von Ernst
  Ising aus Bochum. Hamburg 1924\; E. Ising. Beitrag zur Theorie des Ferrom
 agnetismus. Zeitschr. f. Phys. 31 (1925) 253–258.\n\n[2]. R. Folk\, Yu..
  Holovatch. Schottky's forgotten step to the Ising model. Eur. J. Phys. H 
 47 (2022) 9.\n\n[3]. R. Folk\, Yu. Holovatch. Ising's roots and the transf
 er-matrix eigenvalues. Entropy 26(6) (2024) 459.\n\n[4]. B. Berche\, R. Fo
 lk\, Yu. Holovatch\, R. Kenna\, in preparation\n\nhttps://indico.bitp.kiev
 .ua/event/13/contributions/315/
LOCATION:Bogolyubov Institute for Theoretical Physics (Section 1-4)\, Inst
 itute of Mathematics (Section 5) 322
URL:https://indico.bitp.kiev.ua/event/13/contributions/315/
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