Brownian ratchets and pumps can universally approximate any local active dynamics in spin systems by harnessing heat currents or periodic driving.
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For arbitrary S, integer spins show a continuous 3D XY deconfinement transition in the small-anisotropy regime while half-integer spins stay in a U(1) Coulomb liquid; only S=3/2 retains a first-order transition at finite temperature because thermal monopoles round all continuous transitions into a 3
Exact combinatorial density of states for the critical 1D antiferromagnetic Ising model derived via Fibonacci/Lucas sequences, Diophantine equations, and transfer-matrix closed forms for both open and periodic boundaries.
Dilute spin-1 Baxter-Wu criticality evolves with crystal field (c≈1, drifting scaling dimensions) and crosses over to first-order, narrowing prior competing scenarios.
citing papers explorer
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Brownian ratchets and pumps universally simulate many-body active dynamics
Brownian ratchets and pumps can universally approximate any local active dynamics in spin systems by harnessing heat currents or periodic driving.
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Topological Phase Transitions and Their Thermodynamic Fate in Arbitrary-$S$ Pyrochlore Spin Ice
For arbitrary S, integer spins show a continuous 3D XY deconfinement transition in the small-anisotropy regime while half-integer spins stay in a U(1) Coulomb liquid; only S=3/2 retains a first-order transition at finite temperature because thermal monopoles round all continuous transitions into a 3
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Exact Combinatorial Density of States for the Critical 1D Ising Model
Exact combinatorial density of states for the critical 1D antiferromagnetic Ising model derived via Fibonacci/Lucas sequences, Diophantine equations, and transfer-matrix closed forms for both open and periodic boundaries.
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Crossover and universality breaking in the dilute Baxter-Wu model
Dilute spin-1 Baxter-Wu criticality evolves with crystal field (c≈1, drifting scaling dimensions) and crosses over to first-order, narrowing prior competing scenarios.