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I. Abstract
I. Abstract
In this experiment, we use the PhET Plinko Probability simulation to explore fundamental concepts in condensed matter physics, specifically phase transitions and symmetry breaking. By varying the rod angle, controlled by a binary probability parameter, we model a system that exhibits behavior analogous to particles in a material undergoing a phase transition. The distribution of marbles on either side of the Plinko board simulates changes in the system’s order parameter, which is calculated as the difference between marbles landing in left and right bins.
We identify the critical binary probability (BPC) through multiple trials and statistical analysis, marking the phase transition point where the system shifts from symmetric to asymmetric. Using a power law, we describe the relationship between the order parameter and the binary probability. This allows us to determine the critical exponent (β), a key factor in characterizing phase transitions.
This virtual experiment provides an intuitive and interactive way to study statistical mechanics and phase transitions, offering insights into real-world phenomena such as magnetization in ferromagnetic materials or liquid-gas transitions. It also reinforces key concepts in probability and statistical distribution, contributing to a deeper understanding of critical phenomena in physical systems.
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