UNIFIED SOLUTION OF THE INVERSE CAPACITY PROBLEM

Authors
CHEN NX RONG EQ
Citation
Nx. Chen et Eq. Rong, UNIFIED SOLUTION OF THE INVERSE CAPACITY PROBLEM, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 57(2), 1998, pp. 1302-1308
Citations number
16
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
57
Issue
2
Year of publication
1998
Part
A
Pages
1302 - 1308
Database
ISI
SICI code
1063-651X(1998)57:2<1302:USOTIC>2.0.ZU;2-X
Abstract
The inverse specific hear problem has played a significant role in phy sics. But there is no satisfactory solution for this inherently ill-po sed inverse problem. The present work shows a concise and unified solu tion based on the Mobius inversion technique and the Poisson-Abel proc ess. This solution can explain both Debye's and Einstein's approximati ons very well. All the mathematical deductions are shown in the Append ixes; they are deduced in an elementary way for physicists. [S1063-651 X(98)02302-2].