8 papers
Quantum Fluctuations in Bose--Einstein Condensates:Microscopic Correlations and Moment Bounds
Mauris Chueng, Keheng Zhu, Hexiang Wang
We study higher moments of quantum fluctuations and microscopic correlation energy in the three-dimensional Gross--Pitaevskii regime. For a smooth, compactly supported, nonnegative…
Tangential Surface Pressures and Boundary Localization in Disordered Edwards--Anderson Models
Hexiang Wang, Keheng Zhu, Mauris Chueng
We study boundary free energies in disordered Edwards--Anderson Ising models. For rectangular strips of fixed width, we prove that the expected free-to-fixed boundary correction, d…
Boundary Free Energies, Quenched Mixing, and Gibbs-State Selection in Disordered Ising Models
Mauris Chueng, Hexiang Wang, Keheng Zhu
We study boundary free energies and half-space responses in nearest-neighbor disordered Ising models. First, we prove the existence of fixed-depth tangential pressure and identify…
First-Principles Simulation of Electron-Ion Collisional Transport in Magnetized and Unmagnetized Plasmas
Keheng Zhu, Jian Liu, Chaozhou Mou +2
Accurate electron-ion collision models are central to predicting transport in fusion and space plasmas, yet most practical formulations rely on binary-collision assumptions and imp…
An Adaptive Approach for Modeling Collisionless Plasma Shocks and Ion Heating in the Shock Frame
Yuri A. Omelchenko, Igor V. Sokolov, Lulu Zhao +2
We present a novel computational method for hybrid (kinetic ions, quasi-neutral fluid electrons) simulations of non-relativistic magnetized collisionless plasma shocks, observed ne…
Exterior power sums
Yanping Luo, Ruiyi Yang, Keheng Zhu
We prove that for every fixed and all sufficiently large , any $z_1,\dots,z_n\in\C$ with satisfy . Consequently,…
Boundary Free Energies in Disordered Ising Models
Hexiang Wang, Keheng Zhu, Mauris Chueng
The boundary correction to the free energy of a disordered Ising model depends on the boundary condition, the normalization, and the finite-volume sequence. We give a one-dimension…
Subextensive Random Boundary Perturbations in the Short-Range Edwards--Anderson Model
Hexiang Wang, Keheng Zhu, Mauris Chueng
We consider the nearest-neighbor Edwards--Anderson Ising model on cubic boxes with random perturbations supported at the boundary. We prove that any perturbation admitting an energ…