[ABE-L] COLMEA -=?ISO-8859-1?Q?_col=F3quio_interins?=titucional - 10 de setembro - PUC-Rio

[Maria Eulalia Vares]

Prezados colegas, 

Como lembrete, reenvio convite para o COLMEA nesta quarta-feira, na PUC-Rio.
Saudações, 

Eulalia 

===============================

Prezados colegas,

No próximo dia 10 de setembro (quarta-feira) teremos, na PUC-Rio, um novo
encontro do COLMEA, colóquio interinstitucional “Modelos Estocásticos e
Aplicações”.

Programa:

14:00-15:20h: Stefano Olla (University of Paris-Dauphine)
"From Dynamics to Thermodynamics"

15:40-17:00h: Zdzislaw Burda (Univ. of Krakow)
"Localization of Maximal Entropy Random Walk"

17:00h:  Discussão e lanche

Local: PUC-Rio.
As palestras terão lugar na Sala de Reunião do Decanato. Prédio Leme, 12o.
andar. Rua Marquês de São Vicente 225, Gávea, Rio de Janeiro, Brasil  
(O endereço no cartaz - Secretaria da Física, Prédio Leme, 6o. andar, funciona
como ponto de encontro para quem chegar um pouco mais cedo.)

Um cartaz para divulgação encontra-se aqui:

http://www.im.ufrj.br/~coloquiomea/cartaz/2014_09.pdf

Informações mais completas sobre o COLMEA podem ser encontradas aqui:

http://www.im.ufrj.br/~coloquiomea/

Todos são muito bem vindos. Agradecemos também pela divulgação em sua
instituição.

Atenciosamente,

o comitê organizador:  Augusto Q. Teixeira (IMPA), Evaldo M.F. Curado (CBPF),
Fábio D. A. Aarão Reis (UFF),  Maria Eulalia Vares (UFRJ), Mariane Branco
Alves (UFRJ), Patrícia Gonçalves (PUC-Rio), Stefan Zohren (PUC-Rio)

=============

Resumos das palestras:

-- From Dynamics to Thermodynamics
Stefano Olla (University of Paris-Dauphine)

Thermodynamics is one of the most established and successful physical theory,
applied to most macroscopic system that satisfy the 0-the principle, i.e. the
existence of equilibrium states. But the "connection" to microscopic dynamics
following the laws of mechanics (classical or quantum) is still controversial.
 The classical approach is to understand thermodynamics as a limiting
process, where time is rescaled with space, that follows the evolution of slow
observables (energy, volume,...). These observables typically characterize the
equilibrium states. Such limits are usually called hydrodynamics limits and
quasi-static limits. The main point is to use the ergodicity and the mixing
properties of the "large" microscopic dynamics in order to establish this
separation of scales and the corresponding local equilibrium, described by
statistical mechanics. I will illustrate the mathematical program (still open)
to obtain such limits for the most simple model, the one dimensional
Fermi-Pasta-Ulam chain of oscillators.  Depending on the external agents
acting on the system (heat bath or forces) we obtain in the large space-time
limit, the thermodynamic isothermal or adiabatic transformations from one
equilibrium to an other. The completion of this program will require main
mathematical advances in ergodic theory, and in the analysis of non-linear
partial differential equations for conservation laws. Some results are
obtained by stochastic perturbations of the microscopic dynamics that provide
the ergodic properties required. These stochastic perturbations can be
interpreted as the result of chaotic behavior of other degrees of movements in
a faster time scale.

-- Localization of Maximal Entropy Random Walk
Zdzislaw Burda (Univ. of Krakow)

We define a new class of random walk processes which maximize entropy. This
maximal entropy random walk is equivalent to generic random walk if it takes
place on a regular lattice, but it is not if the underlying lattice is
irregular. In particular, we consider a lattice with weak dilution. We show
that the stationary probability of finding a particle performing maximal
entropy random walk localizes in the largest nearly spherical region of the
lattice which is free of defects. This localization phenomenon, which is
purely classical in nature, is explained in terms of the Lifshitz states of a
certain random operator.
------- End of Forwarded Message -------


--
Maria Eulalia Vares
Departamento de Métodos Estatísticos
Instituto de Matemática - UFRJ
http://www.im.ufrj.br/~eulalia