On the Cauchy Problem of the Ginzburg-Landau Equations for Atomic Fermi Gases Near the BCS-BEC Crossover

被引：6

作者：

Chen Shuhong ^{[1
]}

Guo Boling ^{[1
]}

机构：

[1] Inst Appl Phys & Computat Math, POB 8009, Beijing 100088, Peoples R China

来源：

JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS | 2009年 / 22卷 / 03期

关键词：

Global existence; uniqueness; time-dependent Ginzburg-Landau theory; BCS-BEC crossover; Galerkin method;

D O I：

10.4208/jpde.v22.n3.3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we investigate time-dependent Ginzburg-Landau equations come from the superfluid atomic Fermi-gases near the Feshbach resonance from the Fermion-Boson model. We obtain the global existence and uniqueness of solution to the equations in various spatial dimensions.

引用

页码：218 / 233

页数：16

共 13 条

[1] Abrikosov A. A., 1988, FUNDAMENTALS THEORY
[2] The world of the complex Ginzburg-Landau equation
Aranson, IS
Kramer, L
[J]. REVIEWS OF MODERN PHYSICS, 2002, 74 (01) : 99 - 143
[3] Low-energy collective excitations in a superfluid trapped Fermi gas
Baranov, MA
Petrov, DS
[J]. PHYSICAL REVIEW A, 2000, 62 (04): : 1 - 4
[4] de Gennes PG, 1998, SUPERCONDUCTIVITY ME
[5] Effective action for superconductors and BCS-Bose crossover
De Palo, S
Castellani, C
Di Castro, C
Chakraverty, BK
[J]. PHYSICAL REVIEW B, 1999, 60 (01): : 564 - 573
[6] CROSSOVER FROM BCS TO BOSE SUPERCONDUCTIVITY - TRANSITION-TEMPERATURE AND TIME-DEPENDENT GINZBURG-LANDAU THEORY
DEMELO, CARS
RANDERIA, M
ENGELBRECHT, JR
[J]. PHYSICAL REVIEW LETTERS, 1993, 71 (19) : 3202 - 3205
[7] DRECHSLER M, 1992, ANN PHYS-LEIPZIG, V1, P15, DOI 10.1002/andp.19925040105
[8] Resonance superfluidity in a quantum degenerate Fermi gas
Holland, M
Kokkelmans, SJJMF
Chiofalo, ML
Walser, R
[J]. PHYSICAL REVIEW LETTERS, 2001, 87 (12) : 1 - 120406
[9] Time-dependent Ginzburg-Landau theory for atomic Fermi gases near the BCS-BEC crossover
Machida, M.
Koyama, T.
[J]. PHYSICAL REVIEW A, 2006, 74 (03):
[10] BCS-BEC crossover in a gas of Fermi atoms with a Feshbach resonance
Ohashi, Y
Griffin, A
[J]. PHYSICAL REVIEW LETTERS, 2002, 89 (13)

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