# statistical mechanics

## Scientists report solving one of the oldest problems in mechanics

Being able to accurately predict the life span of physical bodies, both living and non-living, has been one of humankind’s eternal endeavors.  Over the last 150 years, many attempts were made to unify the field of Newtonian mechanics  and thermodynamics,  in order to create a generalized and consistent theory of evolution of life-span.

## 4th International Electronic Conference on Entropy and Its Applications 21 November–1 December 2017

4th International Electronic Conference on Entropy and Its Applications http://sciforum.net/conference/ecea-4

## A Nobel prize worthy paper, unifying Mechanics and Thermodynamics with a Mathematical Basis

I highly recommend this paper to any mechanician who is familiar with the scientific efforst in the last 150 years to unify mechanics and thermodynamics. Sosnoskiy and Sherbakov and several others from the Russian Academy of Sciences listed in the Acknowledgemnsts have achieved it. Congratulations.

Sosnovskiy, L. Sherbakov, S.,”Mechanothermodynamic Entropy and Analysis of Damage State of Complex Systems”, Entropy, 2016, 18, 268.

## Chemical potential

Attached are the slides and notes for a course on engineering thermodynamics.

## Pressure

So far we have been mainly concerned with systems of a single independent variable: energy (node/4878). We now consider a system of two independent variables: energy and volume. A thermodynamic model of the system is prescribed by entropy as a function of energy and volume.

The partial derivatives of the function give the temperature and the pressure. This fact leads to an experimental procedure to determine the function for a given system.

The laws of ideal gases and osmosis are derived. The two phenomena illustrate entropic elasticity.

## The Boltzmann Distribution

• A small system in thermal contact with a large system
• The Boltzmann factor
• Partition function
• The probability for a system in thermal equilibrium with a reservoir to be in a specific state
• The probability for a system in thermal equilibrium with a reservoir to be in a configuration
• Thermal fluctuation of an RNA molecule
• A matter of words