Chinese Physics C > 2001, Vol. 25 > Issue(1): 86-88

Diffusion Equations in Lie Group Manifold

Research Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Collisions, Lanzhou 730000, China2 Institute of Modern Physics, The Chinese Academy of Sciences, Lanzhou 730000, China3 INFN, Sezione di Catania, Corso Italia 57, I-95129 Catania, Italy

Abstract
HTML
Reference
Related

PDF

Abstract：
To describe the random motion in the symmetric space, the diffusion equations in a group manifold have been developed. A concrete formula of the diffusion equation on the compact Riemannian space was presented. Furthermore, the corresponding quantum diffusion motion in the space was also discussed.

References

[1]

Baldo Marcello. Physica, 1982, 114A: 882 Balescu Radu. Statistical Dynamics–Matter out of Equilibrium,Singapore:World Scientific Publishing Co, 1997 3 Ruppeiner George. Rev. Modn. Phys., 1995,67:605 4 Dewitt C, Bewitt B. Relativity,Groups and Topology. Y. N: Science Publishers. Inc., 1964 5 HU Gang. Stochastic Forces and Nonlinear System, Shanghai Shanghai Scientific and Technological Education Publish– ing,House, 1994 6 Zakir Zahid. gr–qc/9906079

[1]	LI Liu-Ji,HUANG Yong-Chang. Origin of Cosmological Constant from Bulk Manifold. Chinese Physics C, 2005, 29(9): 844-846.
[2]	LIU Chang-Long,LU Yi-Ying,YIN LI. Effects of Additional Vacancy-Like Defects Produced by Ion Impealations on Boron Thermal Diffusion in Silicon. Chinese Physics C, 2005, 29(11): 1107-1111.
[3]	ZHOU Yun-Qing,YANG Fang,LI Jia-Rong. Distribution Functions in QGP Kinetic Equations under Relaxation Time Approximation. Chinese Physics C, 2003, 27(6): 515-520.
[4]	GE Jun,GUO Zhi-Yuan,LIN Yu-Zheng. Comparison between Fokker-Planck Equation and Vlasov Equation in the Research of the Mode Coupling Theory. Chinese Physics C, 2003, 27(3): 268-272.
[5]	LIU Chang-Long. Effects of Ion Irradiation on the Diffusion of Pre-implanted B Atoms in Crystalline Silicon. Chinese Physics C, 2001, 25(12): 1238-1244.
[6]	Li Xiguo. New Torsion Structure on Riemann-Cartan Manifold and Knots. Chinese Physics C, 1999, 23(9): 906-913.
[7]	Yang FuZhong,Hou Boyuan,Ma Zhongqi. Modified Seiberg-Witten Monopole Equations on Three-Manifold. Chinese Physics C, 1998, 22(12): 1112-1118.
[8]	Chen Xiangjun. Classical Transport Equation of Gluons in QGP. Chinese Physics C, 1997, 21(7): 597-603.
[9]	Bai Ge,Li Jiarong. Studing the Screened Potential of the Quark in QGP by the Kinetic Equation. Chinese Physics C, 1996, 20(9): 801-811.
[10]	Bao Jingdong. Covariant Form of the Fission Diffusion Equation. Chinese Physics C, 1994, 18(3): 263-268.
[11]	LI Yuan-Jie. RADIAL SOLUTIONS OF THE DIRAC EQUATION IN A LEMAITRE METRIC. Chinese Physics C, 1989, 13(8): 701-705.
[12]	DAI An-Ying. LEVINSON'S THEOREM FOR KLEIN-GORDON EQUATIONS WITH POTENTIAL TAILS. Chinese Physics C, 1987, 11(5): 620-628.
[13]	YAN Jun-Hu. EXACT SOLUTION OF THE PAULI EQUATION IN THE FIELD OF A 'T HOOFT-POLYAKOV MONOPOLE. Chinese Physics C, 1985, 9(3): 367-370.
[14]	LUO Ying-Xiong,WU Wen-Tai. ON THE EQUATION OF TRANSVERSE MOTION IN ELECTRON LINAC. Chinese Physics C, 1985, 9(1): 116-119.
[15]	HE Ze-Jun,LI Pan-Lin,ZHANG Jia-Ju. DIFFUSION MODEL OF HEAVY NUCLEUS FISSION. Chinese Physics C, 1983, 7(5): 611-617.
[16]	PENG SHOU-LI,ZHAO SHU-SONG. GENERAL ANALYTIC SOLUTIONS OF THE THREE DIMENSIONAL ELECTRON SHOWER EQUATIONS IN THE NON-HOMOGENEOUS MEDIUM. Chinese Physics C, 1981, 5(1): 47-54.
[17]	Sun Hong-zhou,Han Qi-zhi. ON THE IRREDUCIBLE REPRESENTATIONS OF THE SIMPLE LIE GROUPS I——THE TENSOR BASIS FOR THE INFINITESIMAL GENERATORS OF THE CLASSICAL SIMPLE LIE GROUPS. Chinese Physics C, 1980, 4(5): 588-599.
[18]	Sun Hung-zhou. ON THE IRREDUCIBLE REPRESENTATIONS OF THE COMPACT SIMPLE LIE GROUPS OF RANK 2(I). Chinese Physics C, 1980, 4(1): 73-92.
[19]	Zhong Ji-quan. A CORRELATIVE TREATMENT OF DYNAMICS AND DIFFUSION EQUATIONS IN DEEP INELASTIC COLLISIONS. Chinese Physics C, 1980, 4(6): 744-751.
[20]	CHANG KONG-LIANG. DIMENSIONAL METHOD TO SOLVE THE DIFFUSION CONVECTION EQUATION OF SOLAR COSMIC RAYS. Chinese Physics C, 1978, 2(3): 200-210.

Access

Get Citation

LI Xi-Guo, Marcello Baldo, SONG Jian-Jun and LIU Fang. Diffusion Equations in Lie Group Manifold[J]. Chinese Physics C, 2001, 25(1): 86-88.

LI Xi-Guo, Marcello Baldo, SONG Jian-Jun and LIU Fang. Diffusion Equations in Lie Group Manifold[J]. Chinese Physics C, 2001, 25(1): 86-88. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2000-06-21
Revised: 1900-01-01

Article Metric

Article Views(5062)
PDF Downloads(605)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者:陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Diffusion Equations in Lie Group Manifold

Corresponding author:LI Xi-Guo,

Research Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Collisions, Lanzhou 730000, China2 Institute of Modern Physics, The Chinese Academy of Sciences, Lanzhou 730000, China3 INFN, Sezione di Catania, Corso Italia 57, I-95129 Catania, Italy

Received Date:2000-06-21
Accepted Date:1900-01-01
Available Online:2001-01-05

Abstract:To describe the random motion in the symmetric space, the diffusion equations in a group manifold have been developed. A concrete formula of the diffusion equation on the compact Riemannian space was presented. Furthermore, the corresponding quantum diffusion motion in the space was also discussed.