Impulsively Driven Fractional Relaxation: Exact Response, Scaling Laws, Frequency-Domain Signatures, and Memory-Induced Crossover Structures

arXiv:2601.18822 · quant-ph, cond-mat.stat-mech · Submitted 2026-01-25 · Read on arXiv

quant-ph, cond-mat.stat-mech

Submitted: 2026-01-25

Updated: 2026-08-07

Comments: 14 pages, 7 figures, accepted for publication in Fractals

Journal ref: Fractals (2026), Article 2650144

DOI: 10.1142/S0218348X26501446

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Benchmark — 10× in this paper · explained in 2 episodes
• Trace — 4× in this paper · explained in 2 episodes
• Scaling Laws — 3× in this paper · explained in 4 episodes
• Consistency — 2× in this paper · explained in 3 episodes
• Verification — 2× in this paper · explained in 2 episodes
• Axioms — 1× in this paper · explained in 2 episodes
• Diffusion Model — 1× in this paper · explained in 8 episodes
• Diffusion Models — 1× in this paper · explained in 6 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Non-Markovian Dynamics — 1× in this paper · explained in 5 episodes

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