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Solvable model for pair excitation in trapped Boson gas at zero temperature
Solvable model pair excitation trapped Boson gas zero temperature
2015/10/16
In Bose–Einstein condensation (BEC), particles occupy a single-particle quantum state, , macroscopically. At zero temperature, the wavefunction for is usually described via a nonlinear Schrodinger ...
A High–order Accurate Gas-kinetic Scheme for One-and Two-dimensional Flow Simulation
Gas-kinetic scheme initial reconstruction BGK model Boltzmann equation,
2014/9/26
This paper develops a high-order accurate gas-kinetic scheme in the frame-work of the finite volume method for the one- and two-dimensional flow simulations,
which is an extension of the third-order ...
A third-order accurate direct Eulerian GRP scheme for the Euler equations in gas dynamics
Godunov-type scheme generalized Riemann problem Riemann problem
2014/9/26
The paper proposes and implements a third-order accurate direct Eulerian gen-eralized Riemann problem (GRP) scheme for one- and two-dimensional (1D & 2D)
Euler equations in gas dynamics. It is an ext...
A Gas Dynamics Method Based on the Spectral Deferred Corrections (SDC) Time Integration Technique and the Piecewise Parabolic Method (PPM)
Gas Dynamics Conservation Laws Spectral Deferred Corrections (SDC) Methods Piecewise Parabolic Method (PPM) Godunov Methods High Resolution Schemes
2013/1/30
We present a computational gas dynamics method based on the Spectral Deferred Corrections (SDC) time integration technique and the Piecewise Parabolic Method (PPM) finite volume method. The PPM framew...
Well-posedness for a multi-dimensional viscous gas-liquid two-phase flow model
Compressible gas-liquid two-phase flow model global well-posedness local well-posedness Besov spaces
2011/9/16
Abstract: The Cauchy problem of a multi-dimensional ($d\geqslant 2$) compressible viscous gas-liquid two-phase flow model is concerned in this paper. We investigate the global existence and uniqueness...
Soliton self-frequency blue-shift in gas-filled hollow-core photonic crystal fibers
Soliton self-frequency blue-shift hollow-core photonic crystal fibers
2011/7/7
We show theoretically that the photoionization process in a hollow-core photonic crystal fiber filled with a Raman-inactive noble gas leads to a constant acceleration of solitons in the time domain wi...
Constructing a Model Transport Equation for a Massless Bose Gas and its Analytic Solution
massless Bose gas boundary value problem
2011/1/21
A model kinetic equation is constructed for the transport of a massless Bose gas. This equation is applied to solution of the boundary value prob-lem for the transport of radiation in the half-space o...
Remarks on the Hamiltonian for the Fermionic Unitary Gas model
Remarks Hamiltonian Fermionic Unitary Gas model
2011/1/17
We consider a quantum system in dimension three composed by a group of N iden-
tical fermions, with mass 1/2, interacting via zero-range interaction with a group of M identical fermions of a differen...
Gas lasers with wave-chaotic resonators
Optics (physics.optics) Chaotic Dynamics (nlin.CD)
2010/11/11
Semiclassical multimode laser theory is extended to gas lasers with open two-dimensional resonators of arbitrary shape. The Doppler frequency shift of the linear-gain coefficient leads to an additiona...
Suppression of the quantum-mechanical collapse by repulsive interactions in a quantum gas
Quantum Gases (cond-mat.quant-gas) Pattern Formation and Solitons (nlin.PS)
2010/11/11
The quantum-mechanical collapse (alias fall onto the center of particles attracted by potential -1/r^2), or "quantum anomaly", is a well-known issue in the quantum theory. We demonstrate that the mean...
Long-distance behavior of temperature correlation functions in the one-dimensional Bose gas
correlation functions the one-dimensional Bose gas
2010/11/19
We describe a Bethe ansatz based method to derive, starting from a multiple integral representation, the long-distance asymptotic behavior at finite temperature of the density-density correlation fun...
Beyond pressureless gas dynamics : Quadrature-based velocity moment models
gas dynamics Quadrature-based velocity moment models
2010/11/19
Following the seminal work of F. Bouchut on zero pressure gas dynamics which has been extensively used for gas particle-flows, the present contribution investigates quadrature-based velocity moments ...
$L^\infty$ solutions for a model of polytropic gas flow with diffusive entropy
Polytropic gas diusive entropy
2010/12/1
We establish the global existence of L1 solutions for a model of polytropic gas ow with diusive entropy. The result is obtained by showing the convergence of a class of nite dierence schemes, whic...
On the speed of approach to equilibrium for a collisionless gas
Free-molecular gas Approach to equilibrium Diffuse reflection
2010/12/7
We investigate the speed of approach to Maxwellian equilibrium for a collisionless gas enclosed in a vessel whose wall are kept at a uniform,constant temperature, assuming diffuse reflection of gas mo...
Lattice Gas Automata Simulation of 2D site-percolation diffusion: Configuration dependence of the theoretically expected crossover of diffusion regime
random walk percolation lattices threshold value
2010/4/1
Theoretical analysis of random walk on percolation lattices has predicted that, at the occupied site concentrations of above the threshold value, a characteristic crossover between an initial sub-diff...