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pro vyhledávání: '"Forster, Christina"'
Autor:
Forster, Christina, Posch, Harald A.
Lyapunov modes are periodic spatial perturbations of phase-space states of many-particle systems, which are associated with the small positive or negative Lyapunov exponents. Although familiar for hard-particle systems in one, two, and three dimensio
Externí odkaz:
http://arxiv.org/abs/nlin/0409019
We consider simulations of a 2-dimensional gas of hard disks in a rectangular container and study the Lyapunov spectrum near the vanishing Lyapunov exponents. To this spectrum are associated ``eigen-directions'', called Lyapunov modes. We carefully a
Externí odkaz:
http://arxiv.org/abs/nlin/0404007
The Lyapunov spectrum describes the exponential growth, or decay, of infinitesimal phase-space perturbations. The perturbation associated with the maximum Lyapunov exponent is strongly localized in space, and only a small fraction of all particles co
Externí odkaz:
http://arxiv.org/abs/nlin/0211047
Autor:
Posch, Harald A., Forster, Christina
Publikováno v:
Lecture Notes on Computer Science vol. 2331, Computational Science - ICCS 2002, vol. 3, p.1170, edited by P.M.A. Sloot, C.J.K. Tan, J.J. Dongarra, and A.G. Hoekstra, Springer Berlin, 2002
The phase space trajectories of many body systems charateristic of simple fluids are highly unstable. We quantify this instability by a set of Lyapunov exponents, which are the rates of exponential divergence, or convergence, of initial (infinitesima
Externí odkaz:
http://arxiv.org/abs/nlin/0210054
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