Time-reversible dynamical systems for turbulence

被引:19
作者
Biferale, L
Pierotti, D
Vulpiani, A
机构
[1] Univ Roma Tor Vergata, Dipartimento Fis, I-00133 Rome, Italy
[2] Univ Aquila, Dipartimento Fis, I-67010 Laquila, Italy
[3] Univ Rome La Sapienza, Dipartimento Fis, I-00185 Rome, Italy
[4] INFM, Unita Aquila, Laquila, Italy
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1998年 / 31卷 / 01期
关键词
D O I
10.1088/0305-4470/31/1/008
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Dynamical ensemble equivalence between hydrodynamic dissipative 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.
引用
收藏
页码:21 / 32
页数:12
相关论文
共 36 条
[31]   CONSTRAINED EULER SYSTEM FOR NAVIER-STOKES TURBULENCE [J].
SHE, ZS ;
JACKSON, E .
PHYSICAL REVIEW LETTERS, 1993, 70 (09) :1255-1258
[32]   EXPERIMENTAL-STUDY OF THE TWO-DIMENSIONAL INVERSE ENERGY CASCADE IN A SQUARE BOX [J].
SOMMERIA, J .
JOURNAL OF FLUID MECHANICS, 1986, 170 :139-168
[33]  
SOMMERIA J, 1991, CR ACAD SCI II, V312, P999
[34]   LYAPUNOV SPECTRUM OF A CHAOTIC MODEL OF 3-DIMENSIONAL TURBULENCE [J].
YAMADA, M ;
OHKITANI, K .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1987, 56 (12) :4210-4213
[35]   LYAPUNOV SPECTRUM OF A MODEL OF TWO-DIMENSIONAL TURBULENCE [J].
YAMADA, M ;
OHKITANI, K .
PHYSICAL REVIEW LETTERS, 1988, 60 (11) :983-986
[36]   THE INERTIAL SUBRANGE AND NON-POSITIVE LYAPUNOV EXPONENTS IN FULLY-DEVELOPED TURBULENCE [J].
YAMADA, M ;
OHKITANI, K .
PROGRESS OF THEORETICAL PHYSICS, 1988, 79 (06) :1265-1268