Erratum to “Multi-fractal aspects of spatial intermittency in fully developed magnetohydrodynamic turbulence” [Ann. Phys. 253 (1997) 239–264]

Annals of Physics 312 (2004) 270–271 www.elsevier.com/locate/aop

Erratum

Erratum to ‘‘Multi-fractal aspects of spatial intermittency in fully developed magnetohydrodynamic turbulence’’ [Ann. Phys. 253 (1997) 239–264]q Bhimsen K. Shivamoggi* Department of Mathematics, University of Central Florida, Orlando, FL 32816-1364, USA Available online 6 May 2004

Expression (72) should read
d L ^ 2d=3  S d=3 ; ^
R N ðRÞ
g where 4 ^ ¼ ð
L Þ R m

1=3

;

S¼

CA ð
LÞ1=3

d P 3;

:

Below expression (76), there should be ^ hRi  hRi

2=3

;

^  hRi

ðh
iL4 Þ1=3 : m

The sentence below (98) should read 0

^ , is (98) implies that the mean energy dissipation, namely, mA2 , which is
hRi independent of m as m ) 0. Expression (105) should read 1
2aþ1 m g
: Z0 q

DOI of original article 10.1006/aphy.1996.5575. Fax: 1-407-823-6253. E-mail address: [email protected]. *

0003-4916/$ - see front matter Ó 2004 Elsevier Inc. All rights reserved. doi:10.1016/j.aop.2004.03.003

B.K. Shivamoggi / Annals of Physics 312 (2004) 270–271

Expression (106) should read s


aþ2 a1 Z
Z02aþ1 m2aþ1 : g

Expression (109) should read " 2ð1aÞ 4aþ2 #!
1a m aþ2 m aþ2 jsj aþ2 P ðs; aÞ
exp  : jsj 2hZ02 i Expression (111) should read " 2 4 #!

13 1 m m3 jsj3 P s; exp 
: 4 jsj 2hZ02 i Expression (112) should read

31 0 2 6D  4D0 2 D þ60 0

6D 0 jsjD0 þ6 7C D0  2 m D0 þ6 B 6m P s; exp @  4
5 A: 2 4 jsj 2hZ0 i

Expression (113) should read 1
aþ2 m g
: jsj Expression (114) should read ðaÞ Z
4af aþ2 m P ðs; aÞ
exp jsj

" 

The formula below (114) should read a1

jsj
m2aþ1 :

m

2ð1aÞ aþ2

4aþ2

jsj aþ2 2hZ02 i

#! :

271