02 4 v 1 2 9 O ct 1 99 7 Time - Reversible Dynamical Systems for Turbulence
نویسندگان
چکیده
Dynamical Ensemble Equivalence between hydrodynamic dissipa-tive equations and suitable time-reversible dynamical systems has been investigated in a class of dynamical systems for turbulence. The reversible dynamics is obtained from the original dissipative equations by imposing a global constraint. We find that, by increasing the input energy, the system changes from an equilibrium state to a non-equilibrium stationary state in which an energy cascade, with the same statistical properties of the original system, is clearly detected. To the memory of Giovanni Paladin.
منابع مشابه
ar X iv : m at h - ph / 9 91 00 16 v 1 1 1 O ct 1 99 9 GEOMETRICAL AND OPERATIONAL ASPECTS OF IRREVERSIBILITY
In the statistical description of dynamical systems, an indication of the irreversibility of a given state change is given geometrically by means of a (pre-)ordering of state pairs. Reversible state changes of classical and quantum systems are shown to be represented by isometric state transformations. An operational distinction between reversible and irreversible dynamics is given and related ...
متن کاملha o - dy n / 99 10 02 0 v 1 1 4 O ct 1 99 9 A Stochastic Approach to the Construction of One - Dimensional Chaotic Maps with Prescribed Statistical Properties
We use a recently found parametrization of the solutions of the inverse Frobenius-Perron problem within the class of complete unimodal maps to develop a Monte-Carlo approach for the construction of one-dimensional chaotic dynamical laws with given statistical properties, i.e. invariant density and autocorrelation function. A variety of different examples are presented to demonstrate the power o...
متن کاملar X iv : s ol v - in t / 9 70 40 03 v 1 2 A pr 1 99 7 Convergent Normal Forms of Symmetric Dynamical Systems
It is shown that the presence of Lie-point-symmetries of (non-Hamiltonian) dynamical systems can ensure the convergence of the coordinate transformations which take the dynamical sytem (or vector field) into Poincaré-Dulac normal form.
متن کاملar X iv : h ep - l at / 9 71 00 86 v 1 2 4 O ct 1 99 7 1 Applications of the Eigenmodes of the Staggered Dirac Operator
We have constructed the lowest few eigenvectors of the staggered Dirac operator on SU (3) gauge configurations, both quenched and dynamical. We use these modes to study the topological charge and to construct approximate hadronic correlators.
متن کامل- th / 9 71 00 02 v 1 1 O ct 1 99 7 NUCLEAR MANY - BODY PROBLEM AT FINITE TEMPERATURE : A TFD APPROACH
Based on the formalism of thermo-field dynamics a new approach for studying collective excitations in hot finite Fermi systems is presented. Two approximations going beyond the thermal RPA namely renormalized thermal RPA and thermal second RPA are formulated.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1998