Non-Gaussian equilibrium in a long-range Hamiltonian system
نویسندگان
چکیده
منابع مشابه
Non-Gaussian equilibrium in a long-range Hamiltonian system.
We study the dynamics of a system of N classical spins with infinite-range interaction. We show that, if the thermodynamic limit is taken before the infinite-time limit, the system does not relax to the Boltzmann-Gibbs equilibrium, but exhibits different equilibrium properties, characterized by stable non-Gaussian velocity distributions, Lévy walks, and dynamical correlation in phase space.
متن کاملFingerprints of nonextensive thermodynamics in a long-range Hamiltonian system
We study the dynamics of a Hamiltonian system of N classical spins with infiniterange interaction. We present numerical results which confirm the existence of metaequilibrium Quasi Stationary States (QSS), characterized by non-Gaussian velocity distributions, anomalous diffusion, Lévy walks and dynamical correlation in phase-space. We show that the Termodynamic Limit (TL) and the Infinite-Time ...
متن کاملAn extended complete Chebyshev system of 3 Abelian integrals related to a non-algebraic Hamiltonian system
In this paper, we study the Chebyshev property of the 3-dimentional vector space $E =langle I_0, I_1, I_2rangle$, where $I_k(h)=int_{H=h}x^ky,dx$ and $H(x,y)=frac{1}{2}y^2+frac{1}{2}(e^{-2x}+1)-e^{-x}$ is a non-algebraic Hamiltonian function. Our main result asserts that $E$ is an extended complete Chebyshev space for $hin(0,frac{1}{2})$. To this end, we use the criterion and tools developed by...
متن کاملIncomplete equilibrium in long-range interacting systems.
We use Hamiltonian dynamics to discuss the statistical mechanics of long-lasting quasistationary states particularly relevant for long-range interacting systems. Despite the presence of an anomalous single-particle velocity distribution, we find that the central limit theorem implies the Boltzmann expression in Gibbs' Gamma space. We identify the nonequilibrium submanifold of Gamma space charac...
متن کاملMetastable states in a class of long-range Hamiltonian systems
We numerically show that metastable states, similar to the Quasi Stationary States found in the so called Hamiltonian Mean Field Model, are also present in a generalized model in which N classical spins (rotators) interact through ferromagnetic couplings decaying as r, where r is their distance over a regular lattice. Scaling laws with N are briefly discussed. PACS: 05.20-y, 05.70 Ln, 64.60 My ...
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 E
سال: 2001
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.64.056134