Quantum active matter shows mean-squared displacement scaling as t^6 or t^7 derived analytically from a Wigner phase-space master equation.
Ramaswamy, The mechanics and statistics of active matter, Annu
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Derives nonlinear response relations for Markovian stochastic systems as covariances with a Bell-polynomial conjugate variable set by stochastic entropy production, plus associated fluctuation-response inequalities.
Nonreciprocal surface tension in the Nonreciprocal Cahn-Hilliard model induces defect motility and organization into target patterns and mosaic-waves whose large-scale dynamics belong to the anisotropic Kardar-Parisi-Zhang universality class.
Classical dynamics emerges as asynchronous relaxation of a gauge-invariant quadratic measure of local incompatibility between neighboring states in an evolving relational geometry.
Derives an exact response equality for Markov processes that unifies fluctuation-dissipation theorem with non-equilibrium linear response relations.
citing papers explorer
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Anomalous Mean-Squared Displacement in Quantum Active Matter from a Wigner Phase-Space Framework
Quantum active matter shows mean-squared displacement scaling as t^6 or t^7 derived analytically from a Wigner phase-space master equation.
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Nonlinear Response Relations and Fluctuation-Response Inequalities for Nonequilibrium Stochastic Systems
Derives nonlinear response relations for Markovian stochastic systems as covariances with a Bell-polynomial conjugate variable set by stochastic entropy production, plus associated fluctuation-response inequalities.
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Nonreciprocal surface tension: anisotropy-induced defect motility and organization
Nonreciprocal surface tension in the Nonreciprocal Cahn-Hilliard model induces defect motility and organization into target patterns and mosaic-waves whose large-scale dynamics belong to the anisotropic Kardar-Parisi-Zhang universality class.
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A Local Gauge-Covariant Formulation of Classical Dynamics
Classical dynamics emerges as asynchronous relaxation of a gauge-invariant quadratic measure of local incompatibility between neighboring states in an evolving relational geometry.
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Unified Linear Fluctuation-Response Theory Arbitrarily Far from Equilibrium
Derives an exact response equality for Markov processes that unifies fluctuation-dissipation theorem with non-equilibrium linear response relations.
- Density-protected states in active matter under virtual confinement