Matrix product state simulations of 2D Rayleigh-Bénard convection recover Nusselt number statistics with 1.8% error and a 9-fold reduction in degrees of freedom at Ra=10^10 using bond dimensions comparable to lower Ra cases.
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7 Pith papers cite this work. Polarity classification is still indexing.
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cond-mat.quant-gas 1 cond-mat.soft 1 cond-mat.stat-mech 1 math-ph 1 physics.flu-dyn 1 physics.gen-ph 1 quant-ph 1roles
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Dark solitons on a spherical bubble BEC remain stable only below a critical nonlinear parameter and decay into vortex dipoles via a single unstable mode for each m ≥ 2, unlike full 3D cases that produce vortex rings.
A three-site open quantum bosonic chain with local parametric driving, nonlinear damping, and nonlocal dissipative couplings exhibits Turing-type pattern formation and mode competition, bridging classical reaction-diffusion dynamics with quantum master-equation dynamics.
A chirality-switching model of 2D active particles produces robust topological edge currents in confinement and at phase-separation interfaces, distinct from standard motility-induced phase separation.
Time-averaged observables exhibit kink or higher-order derivative singularities at supercritical Hopf bifurcations because phase averaging eliminates odd powers of the limit-cycle amplitude while the squared amplitude varies smoothly.
Classical dynamics emerges as asynchronous relaxation of a gauge-invariant quadratic measure of local incompatibility between neighboring states in an evolving relational geometry.
Derives Stuart-Landau equation predicting supercritical Hopf bifurcation with tip amplitude scaling as square root of distance from threshold in elastohydrodynamic Cosserat rod.
citing papers explorer
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Quantum-Inspired Simulation of 2D Turbulent Rayleigh-B\'enard Convection
Matrix product state simulations of 2D Rayleigh-Bénard convection recover Nusselt number statistics with 1.8% error and a 9-fold reduction in degrees of freedom at Ra=10^10 using bond dimensions comparable to lower Ra cases.
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Stability of dark solitons in a bubble Bose-Einstein condensate
Dark solitons on a spherical bubble BEC remain stable only below a critical nonlinear parameter and decay into vortex dipoles via a single unstable mode for each m ≥ 2, unlike full 3D cases that produce vortex rings.
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Turing mechanisms in a multimode open quantum system
A three-site open quantum bosonic chain with local parametric driving, nonlinear damping, and nonlocal dissipative couplings exhibits Turing-type pattern formation and mode competition, bridging classical reaction-diffusion dynamics with quantum master-equation dynamics.
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Designing topological edge currents in chiral active matter
A chirality-switching model of 2D active particles produces robust topological edge currents in confinement and at phase-separation interfaces, distinct from standard motility-induced phase separation.
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Singular Behavior of Observables at Hopf Bifurcations
Time-averaged observables exhibit kink or higher-order derivative singularities at supercritical Hopf bifurcations because phase averaging eliminates odd powers of the limit-cycle amplitude while the squared amplitude varies smoothly.
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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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Weakly nonlinear analysis of Hopf bifurcations in the elastohydrodynamics of Cosserat rods
Derives Stuart-Landau equation predicting supercritical Hopf bifurcation with tip amplitude scaling as square root of distance from threshold in elastohydrodynamic Cosserat rod.