Lyapunov instability of fluids composed of rigid diatomic molecules
نویسندگان
چکیده
منابع مشابه
Lyapunov instability of rigid diatomic molecules in three dimensions.
We study the Lyapunov instability of a three-dimensional fluid composed of rigid diatomic molecules by molecular dynamics simulation. We use center-of-mass coordinates and angular variables for the configurational space variables. The spectra of Lyapunov exponents are obtained for 32 rigid diatomic molecules interacting through the Weeks-Chandler-Andersen potential for various bond lengths and ...
متن کاملLyapunov instability of rigid diatomic molecules in three dimensions: a simpler method.
We present a method to calculate Lyapunov exponents of rigid diatomic molecules in three dimensions ( 12N -dimensional phase space). The spectra of Lyapunov exponents are obtained for 32 rigid diatomic molecules interacting through the Weeks-Chandler-Anderson potential for various bond length and densities, and compared with those of Shin [Phys. Rev. E 64, 041106 (2001)]. Our algorithm is easy ...
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We obtain an analytic expression for the specific heat of a system of N rigid rotators exactly in the high temperature limit, and via a pertubative approach in the low temperature limit. We then evaluate the specific heat of a diatomic gas with both translational and rotational degrees of freedom, and conclude that there is a mixing between the translational and rotational degrees of freedom in...
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We generalize Benettin's classical algorithm for the computation of the full Lyapunov spectrum to the case of a two-dimensional fluid composed of linear molecules modeled as hard dumbbells. Each dumbbell, two hard disks of diameter sigma with centers separated by a fixed distance d, may translate and rotate in the plane. We study the mixing between these qualitatively different degrees of freed...
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The phase space trajectories of many body systems charateristic of isimple fluids are highly unstable. We quantify this instability by a set of Lyapunov exponents, which are the rates of exponential divergence, or convergence, of infinitesimal perturbations along selected directions in phase space. It is demonstrated that the perturbation associated with the maximum Lyapunov exponent is localiz...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 1996
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.53.3694