In: Physics
Energy of the system is defined as the Total sum of energies of each individual molecules/particles in the system. (Both Kinetic and Potential Energy).
Entropy of a system is defined as the measure of chaos/diorder in a particular system (it is related to number of microstates in the system, more microstates means more places which gives rise to more chaos).
Temperature is a quantity that measures the amount of heat in a particular system. It can be measured as per a particular scale or can be also absolute.
We have to connect Boltzmann Distribution, Energy, Entropy and Temperature. Boltzmann Distribution is used to represent a state of the particles in the system,
Here E is the Energy of the system, and T is the temperature of the system.
The entropy of the system is given by Boltzmann's entropy formula, which is.
Here k is Boltzmann constant and W is the most probable distribution. (ie. the number of real microstates)