標題: Titlebook: Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics; Marco Pettini Book 2007 Springer-Verlag New York 2007 Dynamics.Ge [打印本頁] 作者: 退縮 時間: 2025-3-21 18:16
書目名稱Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics影響因子(影響力)
書目名稱Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics影響因子(影響力)學科排名
書目名稱Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics網(wǎng)絡公開度
書目名稱Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics網(wǎng)絡公開度學科排名
書目名稱Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics被引頻次
書目名稱Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics被引頻次學科排名
書目名稱Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics年度引用
書目名稱Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics年度引用學科排名
書目名稱Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics讀者反饋
書目名稱Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics讀者反饋學科排名
作者: 萬神殿 時間: 2025-3-21 21:12 作者: 協(xié)定 時間: 2025-3-22 00:33 作者: Noctambulant 時間: 2025-3-22 06:20 作者: Sleep-Paralysis 時間: 2025-3-22 12:47 作者: Feckless 時間: 2025-3-22 14:43 作者: Feckless 時間: 2025-3-22 19:18 作者: Fulsome 時間: 2025-3-22 23:13
Introduction,hase transitions. The mathematical concepts and methods used are borrowed from Riemannian geometry and from elementary differential topology, respectively. The new approach proposed also unveils deep connections between the two mentioned topics.作者: Lipohypertrophy 時間: 2025-3-23 01:47 作者: euphoria 時間: 2025-3-23 08:44 作者: deceive 時間: 2025-3-23 13:41 作者: 衰老 時間: 2025-3-23 13:54
https://doi.org/10.1007/978-0-387-49957-4Dynamics; Geometry; Hamiltonian; Pettini; dynamical systems; topology作者: 鄙視 時間: 2025-3-23 22:05
Steuerungs- und Prozessrechentechnik,hase transitions. The mathematical concepts and methods used are borrowed from Riemannian geometry and from elementary differential topology, respectively. The new approach proposed also unveils deep connections between the two mentioned topics.作者: 破裂 時間: 2025-3-23 22:32
https://doi.org/10.1007/978-3-8351-9045-0between them..The general problem of statistical physics is the following. Given a collection–in general a large collection–of atoms or molecules, given the interaction laws among the constituents of this collection of particles, and given the dynamical evolution laws, how can we predict the macrosc作者: Little 時間: 2025-3-24 03:19 作者: 孤獨無助 時間: 2025-3-24 07:02
Modellbildung technischer Systeme, methods and results. For example, as we have discussed in Chapter 2, the weaker requirement of only approximate integrability over finite times, or the existence of integrable regions in the phase space of a globally nonintegrable system, has led to the development of classical perturbation theory,作者: 亂砍 時間: 2025-3-24 13:49
Modellbildung technischer Systeme, main tool, to reach a twofold objective: first, to obtain a deeper understanding of the origin of chaos in Hamiltonian systems, and second, to obtain quantitative information on the “strength” of chaos in these systems.作者: elastic 時間: 2025-3-24 16:37
Modellbildung technischer Systeme,eometric theory of chaotic Hamiltonian dynamics. Such a theory is able to describe the instability of the dynamics in classical systems consisting of a large number . of mutually interacting particles, by relating these properties to the average and the fluctuations of the curvature of the configura作者: 小溪 時間: 2025-3-24 23:02 作者: comely 時間: 2025-3-25 00:49 作者: 裂口 時間: 2025-3-25 06:10
https://doi.org/10.1007/978-3-531-90589-1jecture the involvement of topology in phase transition phenomena— formulating what we called the .—and then provided both indirect and direct numerical evidence of this conjecture. The present chapter contains a major leap forward: the rigorous proof that topological changes of equipotential hypers作者: growth-factor 時間: 2025-3-25 09:40
Die Medien und das Heranwachsen der Kinder,o singularities in the .?→?.limit, which are used to define the occurrence of an equilibrium phase transition, is . due to appropriate topological transitions in configuration space. The relevance of topology is made especially clear by the explicit dependence of thermodynamic configurational entrop作者: synovitis 時間: 2025-3-25 12:17
Die Verarbeitung von Medienerlebnissen,ian theory of Hamiltonian chaos, though still formulated at a somewhat primitive level (in that it does not yet include the role of nontrivial topology of the mechanical manifolds), provides a natural explanation of the origin of the chaotic instability of classical dynamics, substantially in the ab作者: saphenous-vein 時間: 2025-3-25 19:11
Modellbildung technischer Systeme, with all its important achievements. However, deciding whether a given Hamiltonian system is globally integrable still remains a difficult task, for which a general constructive framework is lacking.作者: 類型 時間: 2025-3-25 21:01
Integrability, with all its important achievements. However, deciding whether a given Hamiltonian system is globally integrable still remains a difficult task, for which a general constructive framework is lacking.作者: 搖擺 時間: 2025-3-26 03:42 作者: 飛行員 時間: 2025-3-26 06:27
https://doi.org/10.1007/978-3-8351-9045-0en the interaction laws among the constituents of this collection of particles, and given the dynamical evolution laws, how can we predict the macroscopic physical properties of the matter composed of these atoms or molecules?作者: 急性 時間: 2025-3-26 10:27
Background in Physics,en the interaction laws among the constituents of this collection of particles, and given the dynamical evolution laws, how can we predict the macroscopic physical properties of the matter composed of these atoms or molecules?作者: opalescence 時間: 2025-3-26 15:49 作者: 過剩 時間: 2025-3-26 20:23 作者: 清楚說話 時間: 2025-3-27 00:00 作者: 反話 時間: 2025-3-27 02:03 作者: 專橫 時間: 2025-3-27 06:50 作者: indicate 時間: 2025-3-27 13:31 作者: gait-cycle 時間: 2025-3-27 14:31
Topological Hypothesis on the Origin,ly singular behavior at the transition point. Moreover, we have seen that the presence of a singularity in the statistical-mechanical fluctuations of the curvature at the transition point has been proved analytically for the mean-field . model.作者: 不能妥協(xié) 時間: 2025-3-27 20:35 作者: 確定方向 時間: 2025-3-28 00:25 作者: Gullible 時間: 2025-3-28 04:54
Introduction,hase transitions. The mathematical concepts and methods used are borrowed from Riemannian geometry and from elementary differential topology, respectively. The new approach proposed also unveils deep connections between the two mentioned topics.作者: 辯論的終結(jié) 時間: 2025-3-28 08:40
Background in Physics,between them..The general problem of statistical physics is the following. Given a collection–in general a large collection–of atoms or molecules, given the interaction laws among the constituents of this collection of particles, and given the dynamical evolution laws, how can we predict the macrosc作者: 文件夾 時間: 2025-3-28 14:30
Geometrization of Hamiltonian Dynamics, system, that is, a system of particles interacting through forces derived from a potential, i.e., of the form (1.1), belongs to this class. The trajectories of a standard system can be seen as geodesics of a suitable Riemannian manifold. This classical result is based on the variational formulation作者: Fretful 時間: 2025-3-28 17:52
Integrability, methods and results. For example, as we have discussed in Chapter 2, the weaker requirement of only approximate integrability over finite times, or the existence of integrable regions in the phase space of a globally nonintegrable system, has led to the development of classical perturbation theory,作者: 殺死 時間: 2025-3-28 21:56
Geometry and Chaos, main tool, to reach a twofold objective: first, to obtain a deeper understanding of the origin of chaos in Hamiltonian systems, and second, to obtain quantitative information on the “strength” of chaos in these systems.作者: Brocas-Area 時間: 2025-3-29 00:27 作者: 飛行員 時間: 2025-3-29 04:55
Topological Hypothesis on the Origin,onspace curvature fluctuations) related to the Riemannian geometrization of the dynamics in configuration space.1 These quantities have been computed, using time averages, for many different models undergoing continuous phase transitions, namely . lattice models with discrete and continuous symmetri作者: BOOST 時間: 2025-3-29 10:59 作者: indigenous 時間: 2025-3-29 13:40
Phase Transitions and Topology: Necessity Theorems,jecture the involvement of topology in phase transition phenomena— formulating what we called the .—and then provided both indirect and direct numerical evidence of this conjecture. The present chapter contains a major leap forward: the rigorous proof that topological changes of equipotential hypers作者: extinguish 時間: 2025-3-29 17:08
Phase Transitions and Topology: Exact Results,o singularities in the .?→?.limit, which are used to define the occurrence of an equilibrium phase transition, is . due to appropriate topological transitions in configuration space. The relevance of topology is made especially clear by the explicit dependence of thermodynamic configurational entrop作者: BABY 時間: 2025-3-29 20:59
