Some Results for Hard Rods of Inhomogeneous Size

Explore the mathematical analysis of hard rod systems with varying particle sizes in this 47-minute lecture by Chiara Franceschini at the Centre de recherches mathématiques (CRM). Delve into the hydrodynamic equation derived from the microscopic particle system, building upon Dobrushin's original model and the work of Boldrighini, Dobrushin, and Sukhov. Discover the key function that maps the hard rods system to a free gas of ballistic particles, and examine how the Cauchy problem and effective velocity for this system relate to those of soliton gas. Gain insights into the behavior of elongated particles with different sizes as they collide and exchange positions while maintaining their initial speeds.