BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:Staggering domino-like blast front motion in a one-dimensional col
 d gas
DTSTART;VALUE=DATE-TIME:20260922T120000Z
DTEND;VALUE=DATE-TIME:20260922T122000Z
DTSTAMP;VALUE=DATE-TIME:20260914T102739Z
UID:indico-contribution-510@indico.bitp.kiev.ua
DESCRIPTION:Speakers: Yurij Holovatch (Yukhnovskii ICMP\,  NAS of Ukraine\
 , Lviv)\nThe relationship between the macroscopic dynamics of matter\, vie
 wed as a continuous medium\, and that of its microscopic corpuscular const
 ituents is a paramount challenge in physics. Its prominent 20th-century fo
 rmulation is Hilbert’s sixth problem\, which specifically calls for 'dev
 eloping mathematically the limiting processes... which lead from the atomi
 stic view to the laws of motion of continua' [1].  This applies to the tra
 nsport of energy in a cold gas following an explosion – an instant injec
 tion of energy at a certain point. In this talk\, we show that a typical a
 nd relatively simple model of this phenomenon may exhibit surprisingly cou
 nterintuitive behavior.\n\nWe study the model in which point particles wit
 h masses $m\,\\mu\, m\, \\mu\, \\dots$\,  $(m \\geq \\mu)$ are distributed
  on the positive half-line $\\mathbb{R}_{+}$. Their dynamics are initiated
  by giving a positive velocity to the leftmost particle\; in its course\, 
 the particles undergo elastic collisions. For this model with $m/\\mu=2$\,
  it has previously been established that the dynamics that start from rand
 om initial positions are consistent with predictions based on Euler's hydr
 odynamic equation [2]. In particular\, they have the following properties:
  (i) the position of the rightmost particle (shock front) evolves as $t^\\
 delta$ with $\\delta \n\nhttps://indico.bitp.kiev.ua/event/18/contribution
 s/510/
LOCATION:Bogolyubov Institute for Theoretical Physics Conference Hall
URL:https://indico.bitp.kiev.ua/event/18/contributions/510/
END:VEVENT
END:VCALENDAR