10 citations · 15 across the 11 of their papers we have counts for
11 papers
Emergence of Gamma-Type Upward-Phase Statistics in the Collatz Map: An Effective Poisson Process Mechanism
Weicheng Fu, Xiaobin Liu, Yisen Wang
The Collatz map is a simple deterministic transformation whose orbit structure remains highly nontrivial. A recent direction-phase decomposition partitions each orbit into upward a…
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…
Parallel BiLSTM-Transformer networks for forecasting chaotic dynamics
Junwen Ma, Mingyu Ge, Yisen Wang +2
The nonlinear nature of chaotic systems results in extreme sensitivity to initial conditions and highly intricate dynamical behaviors, posing fundamental challenges for accurately…
From Near-Integrable to Far-from-Integrable: A Unified Picture of Thermalization and Heat Transport
Weicheng Fu, Zhen Wang, Yisen Wang +2
Whether and how a system approaches equilibrium is central in nonequilibrium statistical physics, crucial to understanding thermalization and transport. Bogoliubov's three-stage (i…
Impact of on-site potentials on -breathers in nonlinear chains
Lin Deng, Chengguan Fang, Hang Yu +5
On-site potentials are ubiquitous in physical systems and strongly influence their heat transport and energy localization. These potentials will inevitably affect the dynamical pro…
The Structure of the Route to the Period-three Orbit in the Collatz Map
Weicheng Fu, Yisen Wang
This study analyzes the Collatz map through nonlinear dynamics. By embedding integers in Sharkovsky's ordering, we show that odd initial values suffice for full dynamical character…
-Breathers in the diatomic -Fermi-Pasta-Ulam- Tsingou chains
Lin Deng, Hang Yu, Zhigang Zhu +3
-Breathers (QBs) represent a quintessential phenomenon of energy localization, manifesting as stable periodic orbits exponentially localized in normal mode space. Their existenc…
Symmetry Hierarchy and Thermalization Frustration in Graphene Nanoresonators
Yisen Wang, Liang Huang
As the essential cause of the intrinsic dissipation that limits the quality of graphene nanoresonators, intermodal energy transfer is also a key issue in thermalization dynamics. T…
Damping Separation of Finite Open Systems in Gravity-Related Experiments in the Free Molecular Flow Regime
Hou-Qiang Teng, Jia-Qi Dong, Yisen Wang +2
The residual gas damping of the test mass (TM) in the free molecular flow regime is studied in the finite open systems for high-precision gravity-related experiments. Through stric…
Nonintegrability-driven Transition from Kinetics to Hydrodynamics
Weicheng Fu, Zhen Wang, Yisen Wang +2
Nonintegrability plays a crucial role in thermalization and transport processes in many-body Hamiltonian systems, yet its quantitative effects remain unclear. To reveal the connect…
Universal cover-time distribution of heterogeneous random walks
Jia-Qi Dong, Wen-Hui Han, Yisen Wang +2
The cover-time problem, i.e., time to visit every site in a system, is one of the key issues of random walks with wide applications in natural, social, and engineered systems. Addr…