Universality of Algebraic Laws in Hamiltonian Systems
نویسندگان
چکیده
منابع مشابه
On Hamiltonian perturbations of hyperbolic systems of conservation laws, II: universality of critical behaviour
Hamiltonian perturbations of the simplest hyperbolic equation ut +a(u)ux = 0 are studied. We argue that the behaviour of solutions to the perturbed equation near the point of gradient catastrophe of the unperturbed one should be essentially independent on the choice of generic perturbation neither on the choice of generic solution. Moreover, this behaviour is described by a special solution to ...
متن کاملUniversality laws in coagulation
We show that the process of irreversible, kinetic colloid aggregation exhibits universal behavior, independent of the detailed chemical nature of the colloidal particles. Modem methods of statistical physics, applied to a kinetic growth process, provide a good basis to model the observed behavior. Two limiting regimes of colloid aggregation are identified: rapid aggregation, limited solely by t...
متن کاملNew Universality of Lyapunov Spectra in Hamiltonian Systems
We show that new universality of Lyapunov spectra {λi} exists in Hamiltonian systems with many degrees of freedom. The universality appears in systems which are neither nearly integrable nor fully chaotic, and it is different from the one which is obtained in fully chaotic systems on 1dimensional chains as follows. One is that the universality is found in a finite range of large i/N rather than...
متن کاملA New Universality of Lyapunov Spectra in Hamiltonian Systems
A new universality of Lyapunov spectra {λi} is shown for Hamiltonian systems. The universality appears in middle energy regime and is different from another universality which can be reproduced by random matrices in the following two points. One is that the new universality appears in a limited range of large i/N rather than the whole range, where N is degrees of freedom. The other is Lyapunov ...
متن کاملOn Hamiltonian perturbations of hyperbolic systems of conservation laws
We study the general structure of formal perturbative solutions to the Hamiltonian perturbations of spatially one-dimensional systems of hyperbolic PDEs vt + [φ(v)]x = 0. Under certain genericity assumptions it is proved that any bihamiltonian perturbation can be eliminated in all orders of the perturbative expansion by a change of coordinates on the infinite jet space depending rationally on t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review Letters
سال: 2009
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.102.064101