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Since the 80’s, laser cooling has enabled the production of sub-milliKelvin dilute atomic gases - which can be further cooled to the nanoKelvin regime.

Phase transitions take place in many different branches of physics: from soft and hard condensed matter to cosmology and high-energy physics. This course presents the fundamental ideas, concepts and methods that underpin the modern theory of phase transitions. 

The lectures offer a statistical-physics perspective on active matter, which encompasses systems whose fundamental constituents dissipate energy to exert forces on the environment. This out-of-equilibrium microscopic drive endows active systems with properties unmatched in passive ones. From molecular motors to bacteria and animals, active agents are found at all scales in nature. Over the past twenty years, physicists and chemists have also engineered synthetic active systems in the lab, by motorizing particles whose sizes range from nanometers to centimeters, hence paving the way towards the engineering of active materials.

The lectures will rely on the modern tools of statistical mechanics, from stochastic calculus to field theoretical methods, using both theoretical models and experimental systems to illustrate the rich physics of active matter.

Master ICFP

The ICFP  Master is a top-level program designed specifically for the best French and international students.

By choosing the École normale supérieure (ENS), students are assured of benefiting from the prestigious teaching that has made the ENS's reputation since its creation in 1794.