290 citations · 711 across the 36 of their papers we have counts for
37 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…
Exact Resonances Are Not Sufficient for Phonon Energy Diffusion
Wei Lin, Yong Zhang, Hong Zhao
Multi-phonon resonance conditions underpin kinetic theories of phonon transport and lattice thermalization. We show that exact resonance matching, nonzero interaction coefficients,…
Minimum Description Length based Granular-Ball Tree Regularization for Spectral Clustering
Zeqiang Xian, Caihui Liu, Yong Zhang +1
This paper proposes Minimum Description Length based Granular-Ball Tree Regularized Spectral Clustering (MDL-GBTRSC), a fixed-K method that uses granular balls as regional descript…
Boltzmann Distribution from Invariance of Coarse-Graining-Scale and Energy-Shift
Weicheng Fu, Yisen Wang, Yong Zhang +1
We present a concise derivation of the Boltzmann form for single-particle energy distributions in classical many-body Hamiltonian systems. The derivation relies on two physical fac…
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…