Ideal-Gas Approach to Hydrodynamics

Understand

Transport is one of the most important physical processes in all energy and length scales.

• Ideal gases and hydrodynamics are, respectively, two opposite limits of transport.
• Here, we present an unexpected mathematical connection between these two limits; that is, there exist situations that the solution to a class of interacting hydrodynamic equations with certain initial conditions can be exactly constructed from the dynamics of noninteracting ideal gases.
• We analytically provide three such examples.