Nonlinear Sciences

New submissions

• New submissions
• Cross-lists
• Replacements

New submissions for Thu, 25 Apr 24

[1]  arXiv:2404.15912 [pdf, ps, other]

Title: Collective lattice excitations in the dynamic route for melting hydrodynamic 2D-crystals

Authors: Mikheil Kharbedia, Niccolò Caselli, Macarena Calero, Lara H. Moleiro, Jesús F. Castillo, José A. Santiago, Diego Herráez-Aguilar, Francisco Monroy

Subjects: Pattern Formation and Solitons (nlin.PS)

Surface stiffnesses engender steady patterns of Faraday waves (FWs), so called hydrodynamic crystals as correspond to ordered wave lattices made of discrete subharmonics under monochromatic driving. Mastering rules are both inertia-imposed parametric resonance for frequency-halving together with rigidity-driven nonlinearity for wavefield self-focusing. They harness the discretization needed for coherent FW-packets to localize in space and time. Collective lattice excitations are observed as dispersionless propagating dislocations that lead periodic modulations arising from explicit symmetry breaking. In a field theory perspective, a halving genesis for the collective distorting modes is revealed as the natural pathway for hydrodynamic crystal melting.

Cross-lists for Thu, 25 Apr 24

[2]  arXiv:2404.15338 (cross-list from math.NA) [pdf, other]

Title: Annealing approach to root-finding

Authors: Junghyo Jo, Alexandre Wagemakers, Vipul Periwal

Comments: 30 pages, 4 figures

Subjects: Numerical Analysis (math.NA); Chaotic Dynamics (nlin.CD)

The Newton-Raphson method stands as the {\it ur}-root-finding technique. In this study, we propose a parameterized variant of the Newton-Raphson method, inspired by principles from physics. Through analytical and empirical validation, we demonstrate that this novel approach offers increased robustness and faster convergence during root-finding iterations. Furthermore, we establish connections to the Adomian series method and provide a natural interpretation within a series framework. Remarkably, the introduced parameter, akin to a temperature variable, enables an annealing approach. This advancement sets the stage for a fresh exploration of numerical iterative root-finding methodologies.

[3]  arXiv:2404.15403 (cross-list from quant-ph) [pdf, other]

Title: Proof of a Universal Speed Limit on Fast Scrambling in Quantum Systems

Authors: Amit Vikram, Laura Shou, Victor Galitski

Comments: 4 pages + references; 11 pages + 2 figures in supplement

Subjects: Quantum Physics (quant-ph); Statistical Mechanics (cond-mat.stat-mech); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Chaotic Dynamics (nlin.CD)

We prove that the time required for sustained information scrambling in any Hamiltonian quantum system is universally at least logarithmic in the entanglement entropy of scrambled states. This addresses two foundational problems in nonequilibrium quantum dynamics. (1) It sets the earliest possible time for the applicability of equilibrium statistical mechanics in a quantum system coupled to a bath at a finite temperature. (2) It proves a version of the fast scrambling conjecture, originally motivated in models associated with black holes, as a fundamental property of quantum mechanics itself. Our result builds on a refinement of the energy-time uncertainty principle in terms of the infinite temperature spectral form factor in quantum chaos. We generalize this formulation to arbitrary initial states of the bath, including finite temperature states, by mapping Hamiltonian dynamics with any initial state to nonunitary dynamics at infinite temperature. A regularized spectral form factor emerges naturally from this procedure, whose decay is universally constrained by analyticity in complex time. This establishes an exact speed limit on information scrambling by the most general quantum mechanical Hamiltonian, without any restrictions on locality or the nature of interactions.

Replacements for Thu, 25 Apr 24

[4]  arXiv:2112.10953 (replaced) [pdf, other]

Title: An adaptation of InfoMap to absorbing random walks using absorption-scaled graphs

Authors: Esteban Vargas Bernal, Mason A. Porter, Joseph H. Tien

Subjects: Social and Information Networks (cs.SI); Machine Learning (cs.LG); Probability (math.PR); Adaptation and Self-Organizing Systems (nlin.AO); Physics and Society (physics.soc-ph)

[5]  arXiv:2401.16593 (replaced) [pdf, other]

Title: When discrete fronts and pulses form a single family: FPU chain with hardening-softening springs

Authors: Anna Vainchtein, Lev Truskinovsky

Comments: 28 pages, 17 figures

Subjects: Pattern Formation and Solitons (nlin.PS)

[6]  arXiv:2404.14854 (replaced) [pdf, other]

Title: Quenching of stable pulses in slow-fast excitable media

Authors: Christopher D. Marcotte

Comments: 16 pages, 11 figures

Subjects: Pattern Formation and Solitons (nlin.PS); Numerical Analysis (math.NA); Quantitative Methods (q-bio.QM)

[7]  arXiv:2404.14969 (replaced) [pdf, ps, other]

Title: The symmetric (2+1)-dimensional Lotka-Volterra equation with self-consistent sources

Authors: Mengyuan Cui, Chunxia Li, Yuqin Yao

Subjects: Exactly Solvable and Integrable Systems (nlin.SI)

• New submissions
• Cross-lists
• Replacements