4 papers
Exact Nonperturbative Equilibrium Mode Statistics in Nonlinear Wave and Lattice Systems
Jialin Zhang, Yong Zhang, Hong Zhao
We derive exact finite-size nonperturbative representations of equilibrium modal occupations and related statistics for three representative nonlinear systems: the Majda-McLaughlin…
Equilibrium Distributions for Strongly Nonlinear Many-Body Systems
Jialin Zhang, Yong Zhang, Hong Zhao
Obtaining equilibrium distributions of nonlinear systems is essential for accurately computing macroscopic observables. Conventional theoretical corrections are typically limited t…
The equilibrium distribution function for strongly nonlinear systems
Jialin Zhang, Yong Zhang, Hong Zhao
The equilibrium distribution function determines macroscopic observables in statistical physics. While conventional methods correct equilibrium distributions in weakly nonlinear or…
Revisiting Multi-Wave Resonance in Classical Lattices: Quasi-Resonances, Not Exact Resonance, Govern Energy Redistribution
Wei Lin, Yong Zhang, Hong Zhao
The multi-wave exact resonance condition is a fundamental principle for understanding energy transfer in condensed matter systems, yet the dynamical evolution of waves satisfying t…