Hoy jueves: Coloquio Extraordinario

[Guillermo Hinojosa-Aguirre <hinojosa@xxxxxxxxxxxxxx>]

 Estimados Colegas,

 Hoy, jueves tenemos un Coloquio Extraordinario que sera
 impartido por el Dr. Thomas Gilbert de la Universidad Libre
 de Bruselas en el horario de nuestro seminario interno.
 El titulo de su platica es:

    "Equilibrium and non-equilibrium Galton boards"

 Esperamos contar con su amable presencia el dia de hoy
 jueves 14 de enero a las 5:30 PM en el auditorio del
 Instituto de Ciencias Fisicas de la UNAM- Campus Morelos.

 Atentamente,

 Maximino Aldana y Guillermo Hinojosa.

                           ~ Resumen ~

 Galton boards are models of deterministic diffusion in a uniform
 external field, akin to driven periodic Lorentz gases, which are
 here considered in the absence of dissipation mechanism. By
 considering a cylindrical geometry with axis along the direction
 of the external field, the two-dimensional board becomes a model for
 one-dimensional mass transport along the direction of the external
 field. Equilibrium and non-equilibrium stationary states arise,
 depending on the specific choice of boundary conditions at the ends
 of the cylinder. While the former is associated to a closed board
 and has a uniform invariant measure, the latter is associated to an
 open board with the two ends in contact with particle reservoirs
 and has a fractal invariant measure. Numerical results are presented
 in support of this claim. A correspondence is established between
 the local phase-space statistics and their macroscopic counter-part.
 Analytical results are obtained for the statistics of multi-baker
 maps associated to such a non-uniform diffusion statistics and their
 macroscopic counter-part. Analytical results are obtained for the
 statistics of multi-baker maps associated to such a non-uniform
 diffusion process and the fractality of the invariant state related
 to the positivity of the entropy production rate.-