Lyapunov exponent and the solid-fluid phase transition
نویسندگان
چکیده
منابع مشابه
Lyapunov Exponent and the Solid-Fluid Phase Transition
We study changes in the chaotic properties of a many-body system undergoing a solid-fluid phase transition. To do this, we compute the temperature dependence of the largest Lyapunov exponents λmax for both twoand three-dimensional periodic systems of N -particles for various densities. The particles interact through a soft-core potential. The two-dimensional system exhibits an apparent second-o...
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The neutron density is one of the most important dynamical parameters in a reactor. It is directly related to the control and stability of the reactor power. Any change in applied reactivity and some of dynamical parameters in the reactor causes a change in the neutron density. Lyapunov exponent method is a powerful tool for investigating the range of stability and the transient behavior of the...
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We study the fluid/solid phase transition via a mean field model. Our first result is the derivation of a variational characterization of the entropy density, compatible with the infinite volume limit. We then determine the optimizing particle distributions for small energy density and a range of particle density, though we can only prove they are local, not global, minima of the entropy densit...
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We study discontinuity of the Lyapunov exponent. We construct a limit-periodic Schrödinger operator, of which the Lyapunov exponent has a positive measure set of discontinuities. We also show that the limit-periodic potentials, whose Lyapunov exponent is discontinuous, are dense in the space of limit-periodic potentials.
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Background: COVID-19 was first reported in late December 2019 in Wuhan, China, and spread rapidly throughout the world including Iran. Objective The purpose of this paper is to predict the prevalence of coronavirus and the number of confirmed cases and deaths in Iran based on the theory of chaos and measuring the Lyapunov exponent. Methods: In this analytical study, the number of confirmed ca...
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ژورنال
عنوان ژورنال: The Journal of Chemical Physics
سال: 1997
ISSN: 0021-9606,1089-7690
DOI: 10.1063/1.474879