Percolation Theory: Any one know more?

[hitmohitmo]

I am currently working in using the Ising model to study magnetization, and almost wrapping it up. The professor I am working with said I should get into percolation theory, so, my questions are:
Has anyone worked with this, in what perspective?
Currently i am an undergrad,I am planning to apply to grad school, is this a right field to get into?

 

[Andy Resnick]

I have (at best) a passing familiarity with it. The mathematical methods can be similar (statistical physics, network theory, etc) even though the two applications are decidedly different.

Even so, I would caution against over specialization at this point in your career. Rather than becoming an expert in 'percolation theory', better to (initially) study a broader field like condensed matter, multiphase flow, etc.

 

[Mene]

Percolation theory is a fascinating area of study that has applications in various fields such as physics, mathematics, and computer science. It is a mathematical model that helps us understand how a liquid or gas flows through a porous material, and has been used to study a wide range of phenomena, from the spread of diseases to the behavior of networks.

In terms of perspective, percolation theory can be approached from both a theoretical and experimental standpoint. The theoretical aspect involves developing mathematical models and algorithms to understand and predict the behavior of percolation systems. On the other hand, the experimental aspect involves conducting experiments and simulations to test these models and validate their predictions.

As for your question about whether percolation theory is a good field to get into for graduate studies, it ultimately depends on your interests and career goals. If you enjoy working with mathematical models and analyzing complex systems, then percolation theory could be a great fit for you. It is a highly interdisciplinary field, so it offers opportunities to collaborate with researchers from different backgrounds and to apply your skills to a wide range of problems.

I would recommend exploring the current research being done in percolation theory and speaking with professors and graduate students in this field to get a better understanding of the opportunities and challenges it presents. Ultimately, the decision to pursue graduate studies in percolation theory should be based on your passion for the subject and your long-term career goals.