On Existence of Reversible Adiabatic Surfaces

✍ Scribed by M. Dutta

• Publisher: John Wiley and Sons
• Year: 1969
• Tongue: English
• Weight: 315 KB
• Volume: 477
• Category: Article
• ISSN: 0003-3804
• DOI: 10.1002/andp.19694770702

✦ Synopsis

From the notion of equivalence relation and classes induced by them, the sets of points related by reversible processes restricted suitably are shown to be disjoint. By definition, each of thr above sets is arcwise-connected and 80 connected by HAUSDOREF'S theorem. Adiabatic processes are defined to be those in which, changes of states of a system are entirely by changing the deformation coordinates. First and second laws of thermodynamics are introduced just after CARATH~ODORY. Then by arguments of abstract mathematics every points in an r. a. set in an (a + 1)-dimensional space has been shown to gave a neighbourhood homeomorphics to a n-nimensional sphere, i. e., an r. a. set is an n-dimensional manifold having one-to-one correspondence with the deformation space. Thus, the existance of reversible adiabatic surfaces has been established.