The premature state of “Topology” and “Graph Theory” nourished by “Seven Bridges of Königsberg Problem”

16. December 2017 Mathematics Comments
The premature state of “Topology” and “Graph Theory” nourished by “Seven Bridges of Königsberg Problem”
[Aim of this article: To give a brief history of graph theory and topology]  [Note: This article is somewhat technical.] Many many years ago, there was a problem which created a mind-boggling puzzle to the eminent mathematician named Leonard Euler. But this isn’t the main starting of our story. There was a historical city of Königsberg ...

Intuition of Ising 2D Model

26. June 2017 Numerical Simulation, Quantum Mechanics, Statistical Mechanics, Thermal Physics Comments
Intuition of Ising 2D Model
[ Aim of this article: To introduce the basic idea of Ising 2D model ]  Before we proceed for the exploration, let you rejoice with the historical background of Ising Model. Spontaneous magnetization is a very peculiar property of the ferromagnetic material. So, many physicists in the early twentieth century found this phenomenon curious. Physicists lacked ...