Серия лекций профессора Карлоса Мехия-Монастерио (Technical University of Madrid)

В рамках визита на факультет компьютерных наук  НИУ ВШЭ профессор Карлос Мехия-Монастерио (Carlos Mejia-Monasterio) серию лекций (название лекций и аннотация ниже) во вторник 11.02.2020 (аудитория S321, 16:40) и в среду 12.02.2020 (аудитория S332, 16:40). Обсуждение затронутых на лекциях вопросов планируется в четверг 13.02.2020  в 15:00 в лаборатории моделирования и управления сложными системами (МУСС), кабинет Т906.

Carlos Mejía-Monasterio – профессор физики и математики в Техническом университете Мадрида. В круг его интересов входит неравновесная статистическая механика. 

Visiting the Department of Computer Science,  Carlos Mejía-Monasterio gives two lectures on 11.02 (Tuesday ROOM S321, 16:40) and 12.02 (Wednesday, ROOM S332, 16:40). Informal discussion is scheduled on Thursday 13.02 at the Lab of Modeling and Controlling Complex Systems in T906.

 Carlos Mejía-Monasterio is a professor of physics and mathematics at the School of Agricultural, Fodd and Biosystems Engineering of the Technical University of Madrid, UPM

His main research field is Nonequilibrium Statistical Mechanics.He is interested in the mathematical comprehension of energy diffusion processes, the relation between macroscopic phenomena and the properties of the underlying microscopic dynamics, nonequilibrium fluctuation theorems, stochastic thermodynamics, and active transport, among others.

Anomalous diffusion on disordered lattices

Transport in disordered systems does not follow the classical laws of diffusion in ordered media, and the interplay between the dynamics and the properties of the disorder yield in most situations anomalous diffusion. In this lecture we will consider a random walk in a two dimensional disordered lattice. Motivated by  the so-called ice disorder  model, the disorder is  set by  randomly assigning  to each  lattice site  one of  the six possible configurations consisting of two  exits and two entrances. We show that in  spite of the lattice being characterised  by a mean zero preferential driving,  the statistics of the  walker’s displacement is super-diffusive,  with a  scaling  exponent that  depends  on the  way disorder  is  constructed. A particular constrain of ice disorder is the so-called random Manhattan model in which infinite lanes with a given direction fill the lattice randomly. For the random Manhattan model we derive analytic expressions for the anomalous super diffusive transport of a random walker and discuss the influence of stochastic interaction with other walkers.

The thermodynamics of the small

Can we formulate a thermodynamic framework for systems at the nano-scale? The answer to this question is under intense theoretical and experimental investigation. Learning about how thermodynamic processes of small systems, coupled to large reservoirs occur, sheds light on the energetic functioning of living cells, the physics of molecular motors, the optimal design of nano engines, among a host of other problems. Small systems are characterised by fluctuations that can be as large as the observables of interest, thus rendering their treatment different than the thermodynamic systems at the usual scales. In this talk we will explore the behaviour of small systems and learn how their fluctuations are characterised in and out of equilibrium, and rooted on fundamental symmetries of the microscopic dynamics. Small systems are naturally described by stochastic models.  After introducing the Stochastic Thermodynamics framework, we will learn how quantities such as heat, work or entropy production can be define, and used to obtain optimal thermodynamic cycles in terms of their efficiency or to minimise dissipation.

По всем вопросам обращайтесь к Валерии Андриановой