Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series IPHT-PHM
Subjects math-ph
Date Monday 18 December 2023
Time 11:00
Institute IPHT
Seminar Room Salle Claude Itzykson, Bât. 774
Speaker's Last Name Jean-Marc Luck
Speaker's First Name
Speaker's Email Address
Speaker's Institution IPhT
Title The Glauber-Ising chain under low-temperature protocols
Abstract We thoroughly revisit the ferromagnetic Ising chain under Glauber dynamics in the case where temperature depends on time according to an arbitrary protocol. We show how the Glauber theory simplifies in the low-temperature scaling regime where the typical size of the ferromagnetic domains is much larger than the lattice spacing. We analyse in depth various classes of protocols, including slow quenches over a large but finite quenching time, everlasting slow quenches, periodic temperature protocols, and the Kovacs effect. The key observables are the density of domain walls, the susceptibility, and their dimensionless product referred to as the form factor. Our quantitative results are compared to the phenomenological Kibble-Zurek scaling theory whenever such a comparison is possible. Based on a recent work in collaboration with Claude Godrèche.
arXiv Preprint Number

To Generate a poster for this seminar : [ Postscript | PDF ]

[ Annonces ]    [ Abonnements ]    [ Archive ]    [ Aide ]    [ ]
[ English version ]