Fluid/solid transition in a hard-core system
Lewis Bowen, Russell Lyons, Charles Radin, Peter Winkler
TL;DR
This paper proves that a two-dimensional particle system with a hard-core interaction undergoes a phase transition from fluid to solid, providing rigorous mathematical evidence for such phenomena.
Contribution
It offers a rigorous proof of the fluid/solid phase transition in a hard-core particle system in two dimensions, which was previously unproven.
Findings
Confirmed the existence of a fluid/solid phase transition.
Provided mathematical proof for the transition in a hard-core system.
Enhanced understanding of phase behavior in particle systems.
Abstract
We prove that a system of particles in the plane, interacting only with a certain hard-core constraint, undergoes a fluid/solid phase transition.
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