• Prasad Ranjan
• Singh S.N.

There have been found some critical behaviors, like scaling power laws, divergence of fluctuations etc. in the black holes, which have certain intricacies in interpreting these notions. Using the thermodynamic fluctuation theory it is seen that divergences at a continuous turning point of the thermodynamic function indicates a change in stability. This gives some the relation between fluctuations and critical phenomena. It is found that the extremal phase of the black hole corresponds to a critical point of a continuous phase transition. The formalism of fluctuation theory can be extended to give a geometric interpretation of some of the usual critical behavior of black holes. Certain algorithms may exist between the critical behaviours and the thermo dynamic fluctuation taking place in the black holes which needs to be explored in this article.

Thermodynamic- fluctuation , critical behaviors, black holes

"Study of thermodynamic fluctuation theory with application to some critical phenomena in black hole", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 6, page no.290-298, June 2019, Available :http://www.jetir.org/papers/JETIR1907G87.pdf

"Study of thermodynamic fluctuation theory with application to some critical phenomena in black hole", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 6, page no. pp290-298, June 2019, Available at : http://www.jetir.org/papers/JETIR1907G87.pdf