Exact Solution of the FirstOrder Perturbed PercusYevick Equation for Arbitrary Pair Potentials Classic Reprint
Language: English
Published by Forgotten Books, 2018
- Hardcover
- New

Seller: PBShop.store UK, Fairford, GLOS, United KingdomPBShop.store UK
AbeBooks seller since June 11, 1999
Condition: New
US$ 38.91
Quantity: 15 available
Add to basketItem description from seller
Seller Inventory # LX-9780484613187
- Title
- Exact Solution of the FirstOrder Perturbed PercusYevick Equation for Arbitrary Pair Potentials Classic Reprint
- Author
- Jerome K. Percus
- Publisher
- Forgotten Books
- Publication year
- 2018
- Condition
- New
- Binding
- HRD
- Language
- English
- ISBN 10
- 0484613189
- ISBN 13
- 9780484613187
- Item weight
- 330 grams
Exact first‑order insight into how small tail forces reshape core correlations
This book develops a method to extend the Percus–Yevick equation, solved exactly for hard cores, to include a tail potential of arbitrary range. It shows how a first‑order perturbation leads to explicit formulas for the direct correlation function inside the core and the pair correlation function outside it. The approach blends distribution‑function theory with practical solutions, and it ties the results to known models like Debye–Hückel and Yukawa tails. The work also illustrates how linear responses emerge when tail effects are added and tests these ideas against exact statistical mechanics.
In this edition, you’ll see the step‑by‑step reduction of the perturbed equation to a solvable form, the construction of S‑neighbor representations, and the way boundary conditions at the hard core are used to determine constants of integration. The content connects abstract theory to explicit models, including a simple application to the glue model of Baxter and a discussion of when linear behavior appears in tails. Readers with a background in statistical mechanics or liquid‑state theory will gain a concrete toolkit for analyzing how long‑range interactions alter core structure.- Derivation of the first‑order direct correlation function inside the hard core and the first‑order pair correlation outside.
- Reduction of the perturbed equation to a fourth‑order differential form with clear boundary conditions.
- Examples that connect to Debye–Hückel, Yukawa, double Yukawa, and power‑law tail potentials.
- Discussion of linearity in tail models and conditions for first‑order phase behavior.
"Synopsis" may belong to another edition of this title.
PBShop.store UK
Fairford, GLOS, United Kingdom
AbeBooks seller since June 11, 1999
Shipping rates from United Kingdom to U.S.A.
| Item | 10 to 20 business days | 10 to 20 business days |
|---|---|---|
| First item | US$ 5.63 | US$ 5.63 |
Payment methods
Store description
Specialty
Hardbacks, PaperbacksSeller's business information
Pbshop.co.uk
Unit 22 Horcott Industrial Estate, Horcott Road
Fairford, United Kingdom GL7 4BX
Terms of sale
Returns Policy
We ask all customers to contact us for authorisation should they wish to return their order. Orders returned without authorisation may not be credited.
If you wish to return, please contact us within 14 days of receiving your order to obtain authorisation.
Returns requested beyond this time will not be authorised.
Our team will provide full instructions on how to return your order and once received our returns department will process your refund.
Please note the cost to return any unwanted order to us is borne by the buyer.
Should your order arrive damaged, not as advertised or faulty, we must be advised of this within 14 days of delivery. Please contact us so we can find the best solution for you.
Our Customer Care Team can be contacted by emailing alborders@paperbackshop.co.uk, or by calling our UK Office on +441285 712 917. We are available 9:00am till 5:30pm GMT Monday to Friday.
Shipping terms
Orders are shipped from our UK warehouse. Delivery thereafter is between 4 and 14 business days. Please contact us if you have any queries about our services or products.