Asymptotic Thermalization of Generic Many-Body Systems

Determine whether generic many-body systems, both classical and quantum, thermalize asymptotically under their isolated dynamics, thereby establishing or refuting the general conjecture of asymptotic thermalization across many-body systems.

Background

In comparing turbulence with other field theories, the paper discusses thermalization in conservative systems and highlights a widely cited conjecture that many-body systems thermalize asymptotically. This touches on fundamental questions about ergodicity and equilibration mechanisms across classical and quantum many-body dynamics.

The conjecture is presented in the context of broader attempts to connect turbulence, thermalization, and statistical mechanics, underscoring an unresolved issue with implications for both classical fluids and quantum systems.