Critical Exponents in 3.99 Dimensions.¶
Wilson, K. G., & Fisher, M. E. (1972). Critical Exponents in 3.99 Dimensions. Physical Review Letters, 28(4), 240-243.
Cited by¶
2 citations across 2 artifacts.
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Primes¶
- Renormalization
- For T ≠ T_c, the flow drifts toward the high-T (paramagnetic) or low-T (ferromagnetic) fixed points; at T = T_c, the flow sits at the Wilson-Fisher critical fixed point,
This sourceIntroduces epsilon expansion (ε = 4 − d) for systematic calculation of critical exponents near upper critical dimension; bridges mean-field and non-trivial universality.
- For T ≠ T_c, the flow drifts toward the high-T (paramagnetic) or low-T (ferromagnetic) fixed points; at T = T_c, the flow sits at the Wilson-Fisher critical fixed point,
- Universality in Critical Phenomena
- The 3D Ising universality class, for instance, has exponents β ≈ 0.326, γ ≈ 1.237, ν ≈ 0.630, shared among systems as different as uniaxial ferromagnets, binary fluid mixtures, and liquid-gas transitions.
This sourceIntroduces epsilon expansion (ε = 4 − d) for systematic calculation of critical exponents near upper critical dimension; bridges mean-field and non-trivial universality.
- The 3D Ising universality class, for instance, has exponents β ≈ 0.326, γ ≈ 1.237, ν ≈ 0.630, shared among systems as different as uniaxial ferromagnets, binary fluid mixtures, and liquid-gas transitions.
Verification¶
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Registry ID ref:78ddcec43878 · see in the full table