BioNano activities

Microscopic models of random walks

Theory of Complex Systems

Project description

We study various models of classical and quantum random walks from a microscopic point of view, i.e. trying to describe the random walkers as classical or quantum “open systems” interacting with “microscopic” reservoirs. We pay particular attention to models describing Brownian motion and diffusion in random inhomogeneous media and in media with random diffusivity, where in certain conditions anomalous diffusion might take place, non-ergodic behavior and aging might occur, as well as plenty of memory effects governs non-Markovian behavior. Such models find applications in biophysics, classical statistical physics, physics of activated carbon, nano-photonics, economy on the classical side, and in the physics of ultracold quantum gases on the other.

External collaborations

John Lapeyre (CSIC), Jan Wehr (Univ. Arizona, Tucson), Marek Dudynski (U. Warsaw)

Selected publications in this project

News

  • Role of disorder in cell membranes and connection with function

    Weak ergodicity breaking of receptor motion in living cells stemming from random diffusivity in PRX. Fundamental biological processes, including the capture of pathogens by membrane receptors, are regulated by molecular transport. A joint collaboration between the ICREA Professors at ICFO Maria Garcia-Parajo and Maciej Lewenstein show that receptor functioning is linked to nonergodic dynamics, which … Continue reading →

Funding

ERC AdG OSYRIS, MINECO FOQUS, MINECO SO, SGR 874, EU QUIC, Fundacio Privada CELLEX Barcelona

▲ Microscopic models of random walks