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SUMMARY:Two-Point Correlation in Dyson Gases Out-of-Equilibrum
DTSTART;VALUE=DATE-TIME:20260417T163000Z
DTEND;VALUE=DATE-TIME:20260417T165000Z
DTSTAMP;VALUE=DATE-TIME:20260408T173213Z
UID:indico-contribution-343@fisindico.uniandes.edu.co
DESCRIPTION:Speakers: John Fredy Mateus Rubio (Universidad de los Andes)\n
 We study the dynamics of a Log-Coulomb gas consisting of N charged particl
 es confined to a unitary circle and coupled to a thermal bath characterize
 d by a dimensionless effective parameter $\\beta = q_0^2/(k_BT)$ with $q_0
 $ the charge per particle\, $T$ the bath temperature\, and $k_B$ the Boltz
 mann’s constant. The use of a circular domain eliminates boundary effect
 s and ensures exact rotational invariance\, leading to an uniform equilibr
 ium density without external confinement. This geometry isolates universal
  collective properties and greatly simplifies both static and dynamical an
 alyses of logarithmic Coulomb gases particularly\, for $\\beta = 2$\, the 
 system can be treated as a free-fermion model\, for which we can obtain an
  analytical expression for the two-point correlation function in the simpl
 est case $N = 2$\, and then extend our analysis to $N > 2$ both numericall
 y and analytically. By varying $\\beta$\, we show that a logarithmic time-
 law scaling governs the time evolution of this process\, and we verify the
  validity of the probability distribution of spacings between consecutive 
 particles (levels)\, called Wigner’s surmise\, for $\\beta \\geq 1$ by c
 omparison with the corresponding Gaussian ensembles for times larger than 
 the relaxation time\, $\\tau \\geq \\tau_{\\text{Eq}}$\, i.e.\, once the s
 ystem has reached thermal equilibrium.\n\nhttps://fisindico.uniandes.edu.c
 o/event/23/contributions/343/
LOCATION:
URL:https://fisindico.uniandes.edu.co/event/23/contributions/343/
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