Abstract
Iso-g (2) processes in the equilibrium regime concern density-dependent interactions that identically cancel the usual density variation of many-body pair correlation functions. This paper considers the formal density expansion for effective pair potentials with this iso-g (2) property, showing how successive terms in that expansion can be determined iteratively. Explicit results through second density order have been obtained for two types of ‘target’ pair correlation functions: (a) a unit step function (hard core), and (b) unity augmented by an origin-centred Gaussian profile with numerical multiplier A. For the unit step function and the −1 ≤ A<0 Gaussian cases, realizability appears to be attainable up to a finite terminal density. However, when the Gaussian A>0, the terminal density diverges to infinity while the effective pair interaction series is non-convergent, though possibly valid as an asymptotic expansion.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
