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Computational Physics

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MPS Dynamically Compresses Rayleigh-Bénard Turbulence Beyond Static Complexity Bounds

Matrix Product States (MPS) enable dynamical simulations of 2D Rayleigh-Bénard convection up to Ra=10^10, achieving accurate statistical observables like Nusselt number with bond dimension χ comparable to lower Ra=10^9 cases, despite a priori DNS analysis showing non-saturating χ growth to Ra=10^11.