RESEARCH ON ERGODIC PROBLEMS IN HAMILTONIAN DYNAMICS
哈密顿动力学中各态历经问题的研究
基本信息
- 批准号:02640296
- 负责人:
- 金额:$ 1.41万
- 依托单位:
- 依托单位国家:日本
- 项目类别:Grant-in-Aid for General Scientific Research (C)
- 财政年份:1990
- 资助国家:日本
- 起止时间:1990 至 1992
- 项目状态:已结题
- 来源:
- 关键词:
项目摘要
1. The origin of the long time tail was explained from the scaling structures immersed in the stagnant layr. We have propsed the stagnant layr theory to characterize the non-stationrity and the multi-ergodicity of Hamiltonian dynamics. Computer simulations regarding scattering processes and lattice vibrations have justified the theoretical results.2. The irregulatiry of wave functions and energy levels was characterized from the viewpoint of quantum chaos. The Gutzwiller formulae was rederived from the semi-classical approximation of the finite element method.3. The origin of the irreversibility, both in quantal and in classical, was discussed from the weak convergence of the distribution function. The irreversibility in quantal systems was especially surmised to occur in the limit (〕SY.plcnst.〔)->0 for Hushimi functions.
1.从停滞层中的标度结构解释了长时间尾的成因。本文提出了用滞层理论来刻画Hamilton动力学的非平稳性和多遍历性。对散射过程和晶格振动的计算机模拟验证了理论结果.从量子混沌的角度刻画了波函数和能级的不规则性。基于有限元法的半经典近似,重新推导了Gutzwiller公式.从分布函数的弱收敛性出发,讨论了量子不可逆性和经典不可逆性的起源。量子系统中的不可逆性特别被推测发生在极限()SY.plcnst中。()->0为Hushimi函数。
项目成果
期刊论文数量(40)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)
A.Shudo and Y.Shimizu: "Universality and nonuniversality of level statristics in the stadium billiard" Physical Review A.42. 6264-6266 (1990)
A.Shudo 和 Y.Shimizu:“体育场台球水平统计的普遍性和非普遍性”物理评论 A.42。
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- 影响因子:0
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首藤 啓: "Extensive numerical study of quantum spectral statistics of rational and irrational polygonal billiards" Physical reriew E. 1. 54-62 (1993)
Kei Shuto:“有理和无理多边形台球的量子光谱统计的广泛数值研究”物理评论 E. 1. 54-62 (1993)
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斎藤 信彦: "Ergodicity,irreversibility and approch to eguilibrium" J.Physical soc.(Japan). 62. 53-63 (1993)
Nobuhiko Saito:“遍历性、不可逆性和均衡方法”J.Physical soc.(日本)62. 53-63 (1993)。
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首藤 啓: "Length spectrum and semi-classical density of states for an almost integrable billiard system." Physical review A. 46. 809-824 (1992)
Kei Shuto:“几乎可积台球系统的长度谱和半经典态密度。物理评论 A. 46. 809-824 (1992)
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AIZAWA Yoji其他文献
AIZAWA Yoji的其他文献
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{{ truncateString('AIZAWA Yoji', 18)}}的其他基金
Multi ergodicity in nearly integrable Hamiltonian systems and large deviation properties of infinite ergodic systems
近可积哈密顿系统的多重遍历性和无限遍历系统的大偏差性质
- 批准号:
21540399 - 财政年份:2009
- 资助金额:
$ 1.41万 - 项目类别:
Grant-in-Aid for Scientific Research (C)
Ergodicity and Transport Phenomena in Hamiltonian Systems under Non-equilibrium Conditions
非平衡条件下哈密顿系统的遍历性和输运现象
- 批准号:
18540383 - 财政年份:2006
- 资助金额:
$ 1.41万 - 项目类别:
Grant-in-Aid for Scientific Research (C)
Universal aspects of Malti-ergodic phase space structure in many body hamiltonian dynamics
多体哈密顿动力学中马尔蒂遍历相空间结构的普遍方面
- 批准号:
15540376 - 财政年份:2003
- 资助金额:
$ 1.41万 - 项目类别:
Grant-in-Aid for Scientific Research (C)
Ergodic and Kinetic Properties of Hamiltonian Dynamical Systems
哈密顿动力系统的遍历和动力学性质
- 批准号:
09640472 - 财政年份:1997
- 资助金额:
$ 1.41万 - 项目类别:
Grant-in-Aid for Scientific Research (C)
The origin of 1/f spectrum fluctuation in the hamiltonian dynamics for lattice systems.
晶格系统哈密顿动力学中 1/f 谱涨落的起源。
- 批准号:
06640515 - 财政年份:1994
- 资助金额:
$ 1.41万 - 项目类别:
Grant-in-Aid for Scientific Research (C)