The paper claims a unified geometric interpretation of critical exponents as fractal dimensions for second-order phase transitions, derived via fractional calculus on correlation functions and verified on Ising, Potts, XY, and Heisenberg models.
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cond-mat.stat-mech 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Monte Carlo study of the Edwards-Anderson model finds that disorder modifies some critical exponents while a subgroup of exponents and fractal dimensions stays invariant, defining a strong universality class.
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Scaling, fractal dynamics, and critical exponents in the equilibrium phase transition
The paper claims a unified geometric interpretation of critical exponents as fractal dimensions for second-order phase transitions, derived via fractional calculus on correlation functions and verified on Ising, Potts, XY, and Heisenberg models.
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Strong universality class in disordered systems
Monte Carlo study of the Edwards-Anderson model finds that disorder modifies some critical exponents while a subgroup of exponents and fractal dimensions stays invariant, defining a strong universality class.