裂口 发表于 2025-3-25 06:10:41

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

growth-factor 发表于 2025-3-25 09:40:21

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

synovitis 发表于 2025-3-25 12:17:13

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

saphenous-vein 发表于 2025-3-25 19:11:52

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.

类型 发表于 2025-3-25 21:01:52

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.

摇摆 发表于 2025-3-26 03:42:58

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飞行员 发表于 2025-3-26 06:27:26

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?

急性 发表于 2025-3-26 10:27:42

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?

opalescence 发表于 2025-3-26 15:49:53

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过剩 发表于 2025-3-26 20:23:15

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查看完整版本: Titlebook: Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics; Marco Pettini Book 2007 Springer-Verlag New York 2007 Dynamics.Ge