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.
Goldenfeld,Lectures on Phase Transitions and the Renormalization Group(Addison-Wesley, 1992)
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Nonminimal spin-orbit coupling deforms angular-momentum branches in a quantum ring, producing distinct signatures in thermodynamic functions and thermomechanical instabilities enhanced by Fermi statistics, with a phenomenological model yielding anomalous thermal contraction.
Phase transitions are the points where vanishing parameter changes make two system states statistically distinguishable in the thermodynamic limit, identified via a distribution-free run test on the 2D Ising model.
Spectral softening in driven quadratic systems causes the partition function to diverge and adiabaticity to fail below a finite drive-dependent frequency threshold, rendering equilibrium ill-defined.
citing papers explorer
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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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Thermodynamics and emergent thermomechanical response of a quantum ring with nonminimal spin--orbit coupling
Nonminimal spin-orbit coupling deforms angular-momentum branches in a quantum ring, producing distinct signatures in thermodynamic functions and thermomechanical instabilities enhanced by Fermi statistics, with a phenomenological model yielding anomalous thermal contraction.
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Phase Transitions as the Breakdown of Statistical Indistinguishability
Phase transitions are the points where vanishing parameter changes make two system states statistically distinguishable in the thermodynamic limit, identified via a distribution-free run test on the 2D Ising model.
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Spectral Softening and the Structural Breakdown of Thermodynamic Equilibrium
Spectral softening in driven quadratic systems causes the partition function to diverge and adiabaticity to fail below a finite drive-dependent frequency threshold, rendering equilibrium ill-defined.