BEGIN:VCALENDAR VERSION:2.0 PRODID:-//Nonequilibrium quantum and statistical physics - ECPv4.9.9//NONSGML v1.0//EN CALSCALE:GREGORIAN METHOD:PUBLISH X-WR-CALNAME:Nonequilibrium quantum and statistical physics X-ORIGINAL-URL:https://chaos.fmf.uni-lj.si X-WR-CALDESC:Events for Nonequilibrium quantum and statistical physics BEGIN:VTIMEZONE TZID:Europe/Ljubljana BEGIN:DAYLIGHT TZOFFSETFROM:+0100 TZOFFSETTO:+0200 TZNAME:CEST DTSTART:20180325T010000 END:DAYLIGHT BEGIN:STANDARD TZOFFSETFROM:+0200 TZOFFSETTO:+0100 TZNAME:CET DTSTART:20181028T010000 END:STANDARD END:VTIMEZONE BEGIN:VEVENT DTSTART;TZID=Europe/Ljubljana:20180215T140000 DTEND;TZID=Europe/Ljubljana:20180215T180000 DTSTAMP:20240328T190736 CREATED:20180213T175016Z LAST-MODIFIED:20180213T175141Z UID:606-1518703200-1518717600@chaos.fmf.uni-lj.si SUMMARY:Enej Ilievski: Thermodynamics and hydrodynamics in classical soliton theories DESCRIPTION:In this talk\, we shall consider the classical field theory of the Heisenberg ferromagnet\, which is the semi-classical limit of the Heisenberg spin-1/2 chain. Our primary motivation to study classical solvable dynamical system is to understand the similarities and differences between integrable quantum systems and their classical counterparts. Unfortunately\, there seem to exist no efficient computational framework to achieve this goal. To this end\, by starting from first principles and employing the finite-gap algebro-geometric integration technique\, we identify a certain scaling procedure of the corresponding degenerate large-genus Riemann surfaces which provides a statistical description for a thermodynamic gas of magnetic solitons. Using simple arguments of semi-classical quantization\, we use the classical S-matrix to derive a universal integral dressing equation for the spectral distribution function of soliton excitations which accounts for interactions with a non-trivial many-body vacuum. By lifting the conventional theory of Whitham modulations equations to the thermodynamic setting\, we obtain a simple formula for the effective propagation velocity which is\, remarkably\, in formal agreement with that proposed recently for quantum integrable models. \n* Enej Ilievski\, Universiteit van Amsterdam \n URL:https://chaos.fmf.uni-lj.si/event/enej-ilievski-thermodynamics-and-hydrodynamics-in-classical-soliton-theories/ LOCATION:Kuščerjev seminar\, Fakulteta za matematiko in fiziko UL\, Jadranska 19\, Ljubljana\, Slovenia END:VEVENT END:VCALENDAR