VCML Paper 76: Susceptibility Exponent Gamma Blocked by d_eff=0 Zone-Mean Kinematics
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2026
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| _version_ | 1866901309244833792 |
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| author | Aubin-Moreau, Gabriel |
| author_facet | Aubin-Moreau, Gabriel |
| contents | Second attempt to measure gamma using the intensive susceptibility chi_int = L^2 * var(M) to cancel geometric dilution. Three phases scan P in [0.003, 0.050] at L=80, L in {40..160} at P=0.010 (FSS), and P in [0.002, 0.030] at L=120. Result: chi_int ~ 0.0024 flat everywhere. Root cause: the phi field has zero spatial correlations (G_phi(r)~0; Paper 72), so CLT gives var(M) = 4*sigma^2/L^2 exactly, and chi_int = 4*sigma^2 = const. At d_eff=0 the susceptibility integral vanishes. Direct gamma measurement is kinematically blocked. Indirect estimate from Fisher scaling: gamma = nu*(2-eta) = 0.71. Universality class fully characterized by the three directly measured exponents beta=0.628, nu=0.98, z=0.48. |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18969976 |
| institution | Zenodo |
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| publishDate | 2026 |
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| spellingShingle | VCML Paper 76: Susceptibility Exponent Gamma Blocked by d_eff=0 Zone-Mean Kinematics Aubin-Moreau, Gabriel VCML VCSM universality class non-equilibrium Monte Carlo critical exponents causal purity zone-mean order parameter GPU simulation CUDA Second attempt to measure gamma using the intensive susceptibility chi_int = L^2 * var(M) to cancel geometric dilution. Three phases scan P in [0.003, 0.050] at L=80, L in {40..160} at P=0.010 (FSS), and P in [0.002, 0.030] at L=120. Result: chi_int ~ 0.0024 flat everywhere. Root cause: the phi field has zero spatial correlations (G_phi(r)~0; Paper 72), so CLT gives var(M) = 4*sigma^2/L^2 exactly, and chi_int = 4*sigma^2 = const. At d_eff=0 the susceptibility integral vanishes. Direct gamma measurement is kinematically blocked. Indirect estimate from Fisher scaling: gamma = nu*(2-eta) = 0.71. Universality class fully characterized by the three directly measured exponents beta=0.628, nu=0.98, z=0.48. |
| title | VCML Paper 76: Susceptibility Exponent Gamma Blocked by d_eff=0 Zone-Mean Kinematics |
| topic | VCML VCSM universality class non-equilibrium Monte Carlo critical exponents causal purity zone-mean order parameter GPU simulation CUDA |
| url | https://doi.org/10.5281/zenodo.18969976 |