Fermi, Pasta, Ulam and a mysterious lady

Abstract

It is reported that the numerical simulations of the Fermi-Pasta-Ulam problem were performed by a young lady, Mary Tsingou. After 50 years of omission, it is time for a proper recognition of her decisive contribution to the first ever numerical experiment, central in the solitons and chaos theories, but also one of the very first out-of-equilibrium statistical mechanics study. Let us quote from now on the Fermi-Pasta-Ulam-Tsingou problem.

References in corpus (1)

• The Fermi-Pasta-Ulam "numerical experiment": history and pedagogical perspectives

Cited by in corpus (64)

• From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
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• Rogue waves and analogies in optics and oceanography
• Holographic Thermalization, stability of AdS, and the Fermi-Pasta-Ulam-Tsingou paradox
• Nonlinear Coherent Structures in Granular Crystals
• Double scaling in the relaxation time in the $\beta$-FPUT model
• Equilibration of Quasi-Integrable Systems
• Wave chaos in the non-equilibrium dynamics of the Gross-Pitaevskii equation
• Nanopteron solutions of diatomic Fermi-Pasta-Ulam-Tsingou lattices with small mass-ratio
• Quantum versus Classical Dynamics in Spin Models: Chains, Ladders, and Square Lattices
• Wave Turbulence and thermalization in one-dimensional chains
• Nonequilibrium steady-state Kubo formula: equality of transport coefficients
• Mechanistic Models in Computational Social Science
• Diffusive Hydrodynamics of Inhomogenous Hamiltonians
• Universality of Energy Equipartition in One-dimensional Lattices
• Coexistence of ballistic and Fourier regimes in the $\beta$-FPUT lattice
• Exact discrete resonances in the Fermi-Pasta-Ulam-Tsingou system
• Scaling perspective on Intramolecular vibrational energy flow: analogies, insights, and challenges
• Harmonic chains and the thermal diode effect
• Traveling Solitons in Long-Range Oscillator Chains
• Universal law of thermalization for one-dimensional perturbed Toda lattices
• Instabilities and relaxation to equilibrium in long-range oscillator chains
• Behavior and Breakdown of Higher-Order Fermi-Pasta-Ulam-Tsingou Recurrences
• Nonintegrability and thermalization of one-dimensional diatomic lattices
• Memory effects in the Fermi-Pasta-Ulam Model
• Micropteron traveling waves in diatomic Fermi-Pasta-Ulam-Tsingou lattices under the equal mass limit
• Thermalization of local observables in the $\alpha$-FPUT chain
• Solitary Waves in Mass-in-Mass Lattices
• Measure synchronization in interacting Hamiltonian systems: A brief review
• Effect of pressure on thermalization of one-dimensional nonlinear chains
• Low-frequency discrete breathers in long-range systems without on-site potential
• Classical route to ergodicity and scarring in collective quantum systems
• The cutoff phenomenon in total variation for nonlinear Langevin systems with small layered stable noise
• Variability in Fermi--Pasta--Ulam--Tsingou Arrays Prevents Recurrences
• Existence of exponentially spatially localised breather solutions for lattices of nonlinearly coupled particles: Schauder's fixed point theorem approach
• Fluctuation Theorem for Quasi-Integrable Systems
• Collective $1/f$ fluctuation by pseudo-Casimir-invariants
• Random matrix model of Kolmogorov-Zakharov turbulence
• Dynamical fixed points in holography
• The anti-Fermi-Pasta-Ulam-Tsingou problem in one-dimensional diatomic lattices
• Discrete breathers in ${\varphi }^4$ and related models
• Open-system eigenstate thermalization in a noninteracting integrable model
• Energy transfer mechanisms in a dipole chain: From energy equipartition to the formation of breathers
• Internal energy exchanges and chaotic dynamics in an intrinsically coupled system
• Dispersive Fractalization in Linear and Nonlinear Fermi-Pasta-Ulam-Tsingou Lattices
• Mesoscopic structure of mixed type domain walls in multiaxial ferroelectrics
• Nonlinearity accelerates the thermalization of the quartic FPUT model with stochastic baths
• Interactions of solitary waves in the Adlam-Allen model
• Higher order splitting methods with modified integrators for a class of Hamiltonian systems
• Energy cascade and Burgers turbulence in the Fermi-Pasta-Ulam-Tsingou chain
• Extensive packet excitations in FPU and Toda lattices
• Structure preserving noise and dissipation in the Toda lattice
• Thermal rectification in the one-dimensional nonlinearly graded rotor lattice robust in the thermodynamical limit
• Stochastic Dissipative Euler's equations for a free body
• Intrinsic Dimensionality of Fermi-Pasta-Ulam-Tsingou High-Dimensional Trajectories Through Manifold Learning: A Linear Approach
• Stability of the cascading gauge theory de Sitter DFPs
• Dynamical thermalization and turbulence in social stratification models
• Quasi-thermalization of collisionless particles in quadrupole potentials
• Nonlinear dynamics determines the thermodynamic instability of condensed matter in vacuo
• Pulse solutions of the fractional effective models of the Fermi-Pasta-Ulam lattice with long-range interactions
• From Near-Integrable to Far-from-Integrable: A Unified Picture of Thermalization and Heat Transport
• Supratransmission in Lattices with Purely Nonlinear Coupling
• Nonlinear Longitudinal Bulk Strain Waves in Layered Elastic Wavegudes
• Exploring the properties of quantum scars in a toy model