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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Normalized solutions of nonlinear Schrodinger equations with exponential critical growth
指数临界增长 非线性薛定谔方程 归一化解
2023/5/15
In this talk, we consider normalized solutions of nonlinear Schrodinger equations in the plane when the nonlinearity satisfies an exponential critical growth. To study the normalized solutions by usin...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Global unique solutions for the inhomogeneous Navier-Stokes equation with only bounded density, in critical regularity spaces
临界正则性空间 界密度 非齐次 纳维-斯托克斯方程 全局唯一解
2023/4/25
Our work is to prove the global existence and uniqueness of solutions to the inhomogeneous incompressible Navier-Stokes system in the case where the initial density $\rho_0$ is discontinuous and the i...
Critical Point of a Weakly Interacting Two-Dimensional Bose Gas
Two dimensional quantum bose gas lattice model the numerical simulation of dimensionless coefficient
2014/12/22
We study the Berezinskii-Kosterlitz-Thouless transition in a weakly interacting 2D quantum Bose gas using the concept of universality and numerical simulations of the classical |ψ|4 model on a lattice...
Critical Temperature Shift in Weakly Interacting Bose Gas
High performance monte carlo quantum bose gas the scattering
2014/12/22
With a high-performance Monte Carlo algorithm we study the interaction-induced shift of the critical point in weakly interacting three-dimensional |ψ|4 theory (which includes quantum Bose gas). In ter...
Weakly Interacting Bose Gas in the Vicinity of the Critical Point
Three dimensional weak bose gas the thermodynamic functions superfluid density
2014/12/20
We consider a three-dimensional weakly interacting Bose gas in the fluctuation region (and its vicinity) of the normal-superfluid phase transition point. We establish relations between basic thermodyn...
Comment on “Hausdorff Dimension of Critical Fluctuations in Abelian Gauge Theories”
Comments letter reply
2014/12/20
A Comment on the Letter by J. Hove, S. Mo, and A. Sudbø Phys. Rev. Lett. 85, 2368 (2000). The authors of the Letter offer a Reply.
Critical Temperature and Thermodynamics of Attractive Fermions at Unitarity
Dilution system lattice fermion monte carlo thermodynamic functions
2014/12/20
The unitarity regime of the BCS-BEC crossover can be realized by diluting a system of two-component lattice fermions with an on-site attractive interaction. We perform a systematic-error-free finite-t...
Critical Behavior of the Chayes–Machta–Swendsen–Wang Dynamics
Dynamics dynamics model spatial dimension monte carlo simulation
2014/12/20
We study the dynamic critical behavior of the Chayes-Machta dynamics for the Fortuin-Kasteleyn random-cluster model, which generalizes the Swendsen-Wang dynamics for the q-state Potts model to noninte...
Critical Temperature of Interacting Bose Gases in Two and Three Dimensions
Superfluid temperature bose gas the space dimension integral monte carlo simulation particles atoms
2014/12/19
We calculate the superfluid transition temperature of homogeneous interacting Bose gases in three and two spatial dimensions using large-scale path integral Monte Carlo simulations (with up to N=105 p...
Asymptotic Behavior of the Magnetization Near Critical and Tricritical Points via Ginzburg–Landau Polynomials
Magnetization the gold the Pittsburgh landau lattice spin model the inversion temperature
2014/12/19
The purpose of this paper is to prove connections among the asymptotic behavior of the magnetization, the structure of the phase transitions, and a class of polynomials that we call the Ginzburg–Landa...
Critical Temperature Curve in BEC-BCS Crossover
Strong relevant regime condensation two-component system fermion monte carlo method function
2014/12/19
The strongly correlated regime of the crossover from Bardeen-Cooper-Schrieffer pairing to Bose-Einstein condensation can be realized by diluting a system of two-component fermions with a short-range a...
Suppression of the critical temperature for superfluidity near the Mott transition
Ultracold atoms optical lattice gas. Quantum multibody system such as quantum simulator
2014/12/19
Ultracold atomic gases in optical lattices have proven to be a controllable, tunable and clean implementation of strongly interacting quantum many-body systems. An essential prospect for such quantum ...
Oscillatory critical amplitudes in hierarchical models and the tail of the Harris random variable
hierarchical models iteration of polynomial maps oscillatory critical amplitudes Harris random variable geometry of Julia set
2012/6/27
Oscillatory critical amplitudes have been repeatedly observed in hierarchical models and, in the cases that have been taken into consideration, these oscillations are so small to be hardly detectable....
Self-similar transformations of lattice-Ising models at critical temperatures
Self-similar transformations lattice-Ising models critical temperatures General Physics
2012/5/29
We classify geometric blocks that serve as spin carriers into simple blocks and compound blocks by their topologic connectivity, define their fractal dimensions and describe the relevant transformatio...
Glueballs in large-N YM by localization on critical points
Glueballs large-N YM critical points High Energy Physics - Theory
2011/10/9
Abstract: By exploiting in large-N YM the change of variables from the gauge connection to the ASD part of its curvature by a non-SUSY version of the Nicolai map, we show that certain twistor Wilson l...