On the thermodynamical limit of self-gravitating systems

نویسنده

  • Victor Laliena
چکیده

It is shown that the diluted thermodynamical limit of a self-gravitating system proposed by de Vega and Sánchez suffers from the same problems as the usual thermodynamical limit and leads to divergent thermodynamical functions. This question is also discussed from the point of view of mean field theory. PACS: 05.20.-y, 05.90.+m 05.70.-a ∗E-mail: [email protected] Phone: +34 976 761257 Fax: +34 976 761264

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On the lifetime of metastable states in self-gravitating systems

We discuss the physical basis of the statistical mechanics of self-gravitating systems. We show the correspondance between statistical mechanics methods based on the evaluation of the density of states and partition function and thermodynamical methods based on the maximization of a thermodynamical potential (entropy or free energy). We address the question of the thermodynamic limit of self-gr...

متن کامل

Phase transitions in self-gravitating systems

We discuss the nature of phase transitions in self-gravitating systems. We show the connexion between the binary star model of Padmanabhan, the thermodynamics of classical point mass stars and the thermodynamics of the self-gravitating Fermi gas at non-zero temperature. We also briefly discuss the influence of rotation on the thermodynamical stability of self-gravitating systems.

متن کامل

Fundamental thermodynamical equation of a self-gravitating system.

The features of the fundamental thermodynamical relation (expressing entropy as function of state variables) that arise from the self-gravitating character of a system are analyzed. The models studied include not only a spherically symmetric hot matter shell with constant particle number but also a black hole characterized by a general thermal equation of state. These examples illustrate the fo...

متن کامل

Local stability criterion for self-gravitating disks in modified gravity

We study local stability of self-gravitating fluid and stellar disk in the context of modified gravity theories which predict a Yukawa-like term in the gravitational potential of a point mass. We investigate the effect of such a Yukawa-like term on the dynamics of self-gravitating disks. More specifically, we investigate the consequences of the presence of this term for the local stability of t...

متن کامل

Gravitational instability of isothermal and polytropic spheres

We complete previous investigations on the thermodynamics of self-gravitating systems by studying the grand canonical, grand microcanonical and isobaric ensembles. We also discuss the stability of polytropic spheres in connexion with a generalized thermodynamical approach proposed by Tsallis. We determine in each case the onset of gravitational instability by analytical methods and graphical co...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2003