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UID:0-774@lptms.universite-paris-saclay.fr
DTSTART:20211117T143000Z
DTEND:20211117T143000Z
DTSTAMP:20211103T081842Z
URL:http://www.lptms.universite-paris-saclay.fr/seminars/soutenance-de-the
 se-lucas-varela-alvarez/
SUMMARY:Soutenance de thèse : Lucas Varela Alvarez - Petit amphi\, bâtime
 nt Pascal n° 530 - 17 Nov 21 14:30
DESCRIPTION:Systèmes coulombiens en une et deux dimensions : résultats ex
 acts\npar\n\nLucas Varela Alvarez\n&nbsp\;\nSoft matter often features cha
 rged units which interact through Coulomb forces\, the treatment of which 
 is difficult due to their long-range nature. This thesis gives results for
  three many-body systems where every long-range interaction is included\, 
 without approximations. First\, we study exact results for a one-dimension
 al electroneutral salt-free suspension made of two fixed colloids and N ne
 utralizing mobile counterions\, with dielectric jumps at the colloids’ p
 osition. This includes the partition function\, density profile and pressu
 re. We find that for any N counterions system there may be like-charge att
 raction\, unlike when the dielectric is homogeneous in which case N must b
 e even. Secondly\, we consider the previous system out of equilibrium with
 in a homogeneous dielectric space\, as a model for the dynamics of two ele
 ctrical double- layers. Using a combination of exact calculations where po
 ssible and Brownian dynamics simulations\, we compute the relaxation time 
 towards equilibrium (τ). The parity of N leads to distinctly different dy
 namics: for N even\, thermal effects are detrimental to relaxation\, incre
 asing τ\, while they accelerate relaxation for N odd. In the two 1D syste
 ms we show that in the limit N→∞ at fixed colloid’s charge\, the mea
 n-field prediction is recovered. Finally\, we analyse exactly the short-di
 stance effective potential between two “guest” charges immersed in a t
 wo-dimensional two-component charge-asymmetric plasma composed of positive
 ly (q1 = +1) and negatively (q2 = −1/2) charged point particles. The res
 ult is valid in the collapse-free regime\, where the Coulombic coupling (d
 imensionless inverse temperature) β &lt\; 4. At high Coulombic coupling 
 β &gt\; 2\, this model features like-charge attraction.\n&nbsp\;\n\nJury 
 :\n\nJulien Barré\, Institut Denis Poisson\, rapporteur\n\nAlonso Botero\
 , Universidad de Los Andes\, examinateur\n\nAlexei Chepelianskii\, LPS\, e
 xaminateur\n\nDavid Dean\, LOMA\, rapporteur\n\nBérengère Dubrulle\, SPE
 C\, examinatrice\n\nYan Levin\, Universidade Federal do Rio Grande do Sul\
 , examinateur\n\nGabriel Téllez\, Universidad de Los Andes\, directeur de
  thèse\n\nEmmanuel Trizac\, LPTMS\, directeur de thèse
CATEGORIES:seminars
LOCATION:Petit amphi\, bâtiment Pascal n° 530\, rue André Rivière\, Ors
 ay\, 91405\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=rue André Rivière\, Orsay
 \, 91405\, France;X-APPLE-RADIUS=100;X-TITLE=Petit amphi\, bâtiment Pasca
 l n° 530:geo:0,0
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