Title 



Crucial combinations of critical exponents for liquidsvapour and ferromagnetic secondorder phase transitions
 
Author 


  
Abstract 



Four combinations of critical exponents pertaining to the Ising model are constructed which yield simply the dimensionality d. One of these, connecting. gamma and eta, is shown to lead to an immediately useful estimates of the sum a + eta in three dimensions, about which exponents controversy still exists. This sum in three dimensions is shown to be very near or equal to 1/8, a condition which Zhang's predictions, for the exact solution of the 3D Ising model, satisfy with alpha = 0 and eta= 1/8. But the pioneering work of Wilson based on renormalisation group theory gave the estimate eta = 0.037, while the Perk advocates alpha = 0.1, without however, proceeding a proof. We therefore finally stress the current importance of further experimental measurements. The critical exponent d may be the most favourable focus, to distinguish between Zhang's prediction of 13/3 and a value around 4.8 following for d = 3 from Wilson's value of eta quoted above.   
Language 



English
 
Source (journal) 



Physics and chemistry of liquids.  London  
Publication 



London : 2014
 
ISSN 



00319104
 
Volume/pages 



52:5(2014), p. 697699
 
ISI 



000341446800010
 
Full text (Publisher's DOI) 


  
