“Compared with the kinetic Langevin sampling algorithm, the proposed algorithm exhibits a higher contraction rate in the asymptotic time regime.”

“The gradient expansion includes an unexpected zeroth order term depending on the differences between thermo-hydrodynamic fields at the decoupling and the initial hypersurface. This term encodes a memory of the initial state...”

“The paper argues for a shift in emphasis from asymptotic behavior to transient and input-driven dynamics as a primary lens for understanding, testing, and reverse-engineering biological networks.”

“The formation of secondary and tertiary vortices coincides with transient increases in kinetic energy, a behavior absent in the Newtonian case.”

“The paper demonstrates a proof-of-concept generative surrogate for reconstructing coherent turbulent dynamics between sparse snapshots.”

“The molecular design of panchromatic photovoltaic materials should move beyond molecular-level optimization toward synergistic tuning among molecules, semiconductors, and electrolytes or active-layer materials, thereby providing concrete conceptual guidance for achieving efficiency optimization rather than simple spectral maximization.”

“The high precision of this technique allows us to observe power-law temperature dependence of $λ$, and to measure the anomalous nonlinear Meissner effect -- the current dependence of $λ$ arising from nodal quasiparticles. Together, these measurements provide smoking gun signatures of nodal superconductivity.”

“Carbon transport is dominated by facet-dependent surface diffusion, bounding sustainable supply on a 2.0 nm particle to ~44 carbon atoms per μs on the slow (10̄11) facet.”

“itePGDK outperformed these methods in these metrics. Particularly in short duration frames, itePGDK presents less bias and less artifacts in fast kinetics organs uptake compared with DeepKernel.”

“Free-moving particles act as kinetic catalysts for spontaneous knotting.”

“The lower-porosity medium produces higher local and surface-averaged Nusselt numbers.”

“The charm production rate decreases monotonically across all medium formulations.”

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“The kinetic dependence of the phase transition on dose rate shows that the time between SmA-N and N-I shortens with increasing rate, revealing the hypothesis that a higher electron dose rate increases the energy dissipation rate, leading to substantial heat generation in the sample.”

“The algorithm consistently achieves lower error than the fluid-based method, and even one order of magnitude lower in a fusion-relevant test case. Moreover, the algorithm exhibits a significant speedup compared to the reference kinetic MC method.”

“The primary Al4Mn hexagonal prisms nucleate and grow with high kinetic anisotropy -70 times faster in the axial direction than the radial direction.”

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“The bolometric light curve indicates a synthesized $^{56}$Ni mass of $0.120\pm0.003~ ext{M}_{\odot}$, with an estimated ejecta mass of $0.79\pm0.09~ ext{M}_{\odot}$ and kinetic energy of $0.19 imes10^{51}$ erg.”

“The paper highlights the scaling hypothesis for loop-length distributions, the emergence of critical exponents $τ=15/7$, $d_f=7/4$, and $σ=3/7$ in several universality classes.”

“The paper shows how weak symmetries allow mapping the dynamics onto a classical Kinetic Monte Carlo, enabling efficient simulation.”

“At steady state, human organ concentrations follow a robust cubic scaling with tissue lipid fraction, yielding blood-to-brain enrichment factors of order $10^{3}$--$10^{4}$.”

“Mapping the trajectory of the learnt Gaussians onto the image plane gives zero-shot tracking performance comparable to state-of-the-art.”

“The paper computes the jet quenching parameter and elastic collision kernel, and identifies a novel type of weak-coupling attractor.”

“The paper finds that grand unification is possible in such models in the presence of moderately large brane kinetic terms.”

“The paper investigates the long-time existence and behavior of solutions.”

“The research focuses on using stationary information flows.”

“The article is sourced from ArXiv.”

“Kinetic energy constructed from exact gradient expansion of second order in uniform gas limit”

“The article likely presents a mathematical analysis of heat flow and temperature gradients within the specified theoretical framework.”

“The research focuses on the impact of silica-based aerosols on stratospheric chemistry.”

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“The research focuses on mixed $3-$ and $4-$wave kinetic equations.”

“The article's focus is on using parallel droplet microreactors and machine learning.”

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“The research focuses on the kinetics of Bose-Einstein condensation of magnons.”

“The research focuses on learning continuous State-of-Charge (SOC)-dependent thermal decomposition kinetics.”

“Without the full text, it's impossible to provide a specific quote. However, the paper would likely contain mathematical equations and detailed explanations of the renormalization process and its effects on the kinetic mixing.”

“The article likely discusses the application of Mamba, a state-space model, to the prediction of chemical reaction rates, particularly focusing on 'stiff' kinetics.”

“The research focuses on few-shot action synthesis.”