The term Statistical Mechanics is a wing of mathematical Physics. This particular branch uses the Probability theory to discuss on the general behaviour of the mechanical system of an uncertain state.

This particular system reveals that there is the Law of nature governs everything in this universe. These laws are mostly mechanical, and it operates all the physical matters of the world at a microscopic level.

This particular theory of mathematics is often used for explaining the thermodynamic performance of a large system. Generally, the mechanical laws of microscopic do not possess the concept of temperature, entropy, heat and other nature related matters. Here the Statistical Mechanics assist to make a bridge between the Thermodynamic quantities or the heat capacity with the microscopic behaviour. The wing of statistical mechanics that uses in the classical field of thermodynamics is popularly famous as the Statistical thermodynamics.

Statistical Mechanics is broadly in use with the outside equilibrium. This is a sub wing of the non-equilibrium Statistical mechanics.

**Influences from Statistics**

Generally finding a data related to nature is not an easy task. This particular wing of Mathematical Physics helps to find out and to calculate the right data. These data are calculated with the help of the Statistics. This advanced form helps different fields to get a proper explanation.

This use of statistics to explain the thermodynamic matters now makes the process of calculation and analysing much easier. This also helps the user to get a transparent report after explanation if any molecular part is affected by the Statistical method and becomes unable to provide a smooth explanation to the problem. The most interesting aspect of this wing is that it helps to explain and to forecast the microscopic propitious and behaviour system of the fundamental system of the microscopic element.

**Applications**

This particular wing of mathematical physics has recorded for its usage beyond the thermodynamic area and to enhance the knowledge of the expert. These are the few application area of this

Mathematical Physics are used in.

Propagation of Uncertainty overtime

Regression explanation of the Gravitational Orbits

Ensemble forecasting of weather

Dynamics of Neural Networks

**Conclusion**

This particular branch of the Mechanical Physics are now helping different fields to solve their queries and various problems. The latest arrival of the concept in forecasting the weather helps the users to enjoy a fast and logical forecasting of the same. In recent times, renowned names are working with this concept. They are looking for bringing advanced changes, in this field.

Now this concept of microscopic level has gained a remarkable change. It becomes a quite an easy task to handle many problems at a time. The use of statistical data and logical use of mathematical physics are now assisting the reader to related one problem with the other.