The simulation shows Ising spins on a pyrochlore tetrahedral network settling into 2-in/2-out ice-rule configurations, and lets you flip a spin to watch a monopole-antimonopole pair separate along a Dirac-string trail.
Use the temperature slider to anneal the lattice toward the ice-rule manifold, click individual spins to flip them and create monopole defects, and toggle field direction to see the ice rule partially lift into ordered plateaus.
Temperature slider, field-direction toggle, and clickable spins for manual defect creation
The residual entropy measured in Dy2Ti2O7 matches Linus Pauling's 1935 estimate for water ice to within a fraction of a percent, even though the underlying physics is magnetic dipoles rather than hydrogen-bonded protons.
The simulation shows Ising spins on a pyrochlore tetrahedral network settling into 2-in/2-out ice-rule configurations, and lets you flip a spin to watch a monopole-antimonopole pair separate along a Dirac-string trail.
The simulation shows Ising spins on a pyrochlore tetrahedral network settling into 2-in/2-out ice-rule configurations, and lets you flip a spin to watch a monopole-antimonopole pair separate along a Dirac-string trail.
Use the temperature slider to anneal the lattice toward the ice-rule manifold, click individual spins to flip them and create monopole defects, and toggle field direction to see the ice rule partially lift into ordered plateaus.
The residual entropy measured in Dy2Ti2O7 matches Linus Pauling's 1935 estimate for water ice to within a fraction of a percent, even though the underlying physics is magnetic dipoles rather than hydrogen-bonded protons.