#### On the Relationship between the Second Fundamental Theorem of the Mechanical Theory of Heat and Probability Calculations Regarding the Conditions for Thermal Equilibrium (Boltzmann – 1877)

*Parsa Rangriz, Physics & Mathematics Undergraduate Student, Sharif University of Technology*

*Date: April 20, 2020*

In this paper, Boltzmann has used probability basics and thermodynamic laws to derive a distribution which indicates that for each specific energy, how many particles of a thermodynamic system have this amount of energy. At first to remove complications and calculate convenient, he has used a desecrate levels of energy and then he has generalized them to any continuous levels of energy.

His works encouraged the other brilliant physicist to develop a new branch of physics which is called “Statistical Mechanics”. Boltzmann is known as one of the main founders of this field.