Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only! Grab it Watch a 52-minute lecture from the International Centre for Theoretical Sciences' program on discrete integrable systems where Deepak Dhar explores phase transitions in systems of long hard rods on a lattice. Part of a comprehensive two-week program covering integrable difference equations, cluster algebras, and probabilistic models, this presentation contributes to the broader discussion of discrete integrable systems in theoretical physics and mathematics. The lecture takes place within a series that examines exactly solvable systems with multiple conserved quantities, connecting to topics in statistical physics, string theory, combinatorics, representation theory, geometry, and probability. Learn about the fundamental properties of integrable systems and their significance in understanding non-integrable models within the same universality class.