Anomaly detection is mapped to the RG flow of a non-equilibrium field theory, with the 2D Ising model benchmark showing critical threshold identification error below 4% by treating noise-to-signal as effective temperature.
Theory of dynamic critical phenomena
6 Pith papers cite this work. Polarity classification is still indexing.
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cond-mat.quant-gas 1 cond-mat.stat-mech 1 hep-ph 1 hep-th 1 physics.flu-dyn 1 physics.gen-ph 1years
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Fast driving across first-order transitions in relativistic scalar fields produces temperature- and dimension-independent finite-time scaling matching mean-field theory, crossing over to Kibble-Zurek scaling near criticality and nucleation-dominated dynamics at low temperatures.
Direct measurement of static correlation length ξ and dynamical relaxation time τ in the disordered phase of a driven polariton fluid yields τ ∝ ξ^z with z ≈ 2, indicating diffusive dynamics of a non-conserved order parameter.
Surfactant Marangoni stresses suppress hydrodynamic coarsening in bicontinuous phase separation non-monotonically with Péclet number, strongest at intermediate values because of competition between surfactant replenishment and gradient retention.
An effective field theory for superconducting phase transitions is constructed via Schwinger-Keldysh formalism, reproducing Ginzburg-Landau equations upon truncation while showing overdamped Higgs modes and complex relaxation in holographic validation.
Thermodynamics emerges as the complete-similarity limit of statistical mechanics when the small-system group Π_B = k_B/(c ℓ³) becomes irrelevant at macroscopic scales.
citing papers explorer
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Field Theory of Data: Anomaly Detection via the Functional Renormalization Group. The 2D Ising Model as a Benchmark
Anomaly detection is mapped to the RG flow of a non-equilibrium field theory, with the 2D Ising model benchmark showing critical threshold identification error below 4% by treating noise-to-signal as effective temperature.
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Non-equilibrium scaling across first-order transitions with relativistic scalar fields
Fast driving across first-order transitions in relativistic scalar fields produces temperature- and dimension-independent finite-time scaling matching mean-field theory, crossing over to Kibble-Zurek scaling near criticality and nucleation-dominated dynamics at low temperatures.
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Dynamical universality in a driven quantum fluid of light
Direct measurement of static correlation length ξ and dynamical relaxation time τ in the disordered phase of a driven polariton fluid yields τ ∝ ξ^z with z ≈ 2, indicating diffusive dynamics of a non-conserved order parameter.
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Non-Monotonic Marangoni Suppression of Hydrodynamic Coarsening in Bicontinuous Liquid-Liquid Phase Separation
Surfactant Marangoni stresses suppress hydrodynamic coarsening in bicontinuous phase separation non-monotonically with Péclet number, strongest at intermediate values because of competition between surfactant replenishment and gradient retention.
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Effective Field Theory for Superconducting Phase Transitions
An effective field theory for superconducting phase transitions is constructed via Schwinger-Keldysh formalism, reproducing Ginzburg-Landau equations upon truncation while showing overdamped Higgs modes and complex relaxation in holographic validation.
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Small-System Group: Thermodynamics as a Complete Self-Similarity Limit
Thermodynamics emerges as the complete-similarity limit of statistical mechanics when the small-system group Π_B = k_B/(c ℓ³) becomes irrelevant at macroscopic scales.