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We study the thermodynamic analysis and logarithm corrections of the newSchwarzschild black hole. We compute the thermodynamic quantities like entropy,Hawking temperature and heat capacity. The area of black holes never decreasesbecause they absorb everything from their surroundings due to high gravity. Inthis regard, the area-entropy relation proposed by Bekenstein needs to becorrected, leading to the concept of logarithmic corrections. To do so, weobtain the corrected entropy for new Schwarzschild black hole to analyze theeffects of thermal fluctuations and we evaluate the thermodynamic quantitieslike specific heat, internal energy, Helmholtz free energy, Gibbs free energy,enthalpy and pressure in the presence of correction parameter $\eta$.Furthermore, we check the stability of the system with the help of heatcapacity and well known Hessian matrix technique. By our graphical analysis, weobserve that the thermal fluctuations effects the stability of small radiiblack holes (e.g., New Schwarzchild black hole) and therefore, small blackholes get unstable regions due to these first order corrections.

Thermal Fluctuations Evolution of the New Schwarzschild Black Hole