Category: Physics

Summary: Measuring how the roughness exponent of a random-field Ising domain wall changes with disorder strength in two dimensions.

Random fields can make domain walls wander more strongly than they do in a clean Ising system. This experiment asks whether the two-dimensional roughness exponent changes continuously with disorder strength, crossing from near the pure-system value toward a stronger super-rough regime as randomness increases.

The simulation uses zero-temperature Glauber dynamics with fixed boundary conditions that force a domain wall. By measuring the wall roughness across several system sizes and fitting the scaling law, it estimates the exponent as a function of disorder rather than at a single representative point.

That broader sweep is the main value of the project. Instead of reporting one roughness measurement, it aims to build a disorder-dependent map of domain-wall geometry across the RFIM phase diagram.

Method: Zero-temperature Glauber simulations of the 2D random-field Ising model with finite-size scaling of domain-wall roughness.

What is measured: Domain-wall roughness, estimated roughness exponent zeta, disorder dependence zeta(h), and finite-size fit quality.