2 citations · 2 across the 5 of their papers we have counts for
12 papers
Theory from many-body quantum Gibbs states
Phan Thà nh Nam, Zhilin Yang, Xiangchan Zhu
We derive the measure on the two-dimensional unit torus as the rigorous limit of many-body quantum Gibbs states. In particular, the quantum model corresponding…
Global well-posedness for generalized parabolic Anderson model on the whole plane
Hao Shen, Rongchan Zhu, Xiangchan Zhu
For every \(0<κ<\sqrt{5}-2\), we prove global existence for the two-dimensional generalized parabolic Anderson model on the whole plane with nonlinearity $F\in C_b^2…
Derivation of Gibbs measure from Gibbs state with the fractional Bessel interaction in Two Dimensions
Phan Thà nh Nam, Rongchan Zhu, Xiangchan Zhu
We derive the classical Gibbs measure on associated with the fractional Bessel interaction potential from a renormalized g…
Langevin dynamics of lattice Yang-Mills-Higgs and applications
Hao Shen, Rongchan Zhu, Xiangchan Zhu
In this paper, we investigate the Langevin dynamics of various lattice formulations of the Yang--Mills--Higgs model, with an inverse Yang--Mills coupling and a Higgs parameter…
Gaussian Fluctuations for the Stochastic Landau-Lifshitz Navier-Stokes Equation in Dimension
Sotiris Kotitsas, Marco Romito, Zhilin Yang +1
We revisit the large-scale Gaussian fluctuations for the stochastic Landau-Lifshitz Navier-Stokes equation (LLNS) at and above criticality, using the method in \cite{CGT24}. With t…
Theory from many-body quantum Gibbs states
Phan Thà nh Nam, Rongchan Zhu, Xiangchan Zhu
We derive the measure on the torus as a rigorous limit of the quantum Gibbs state of an interacting Bose gas. To be precise, starting from many-body quantum mechanics, whe…