The Inhomogeneous Fermi-Pasta-Ulam Chain, a Case Study of the 1:2:3$1:2:3$ Resonance
Sign Up to like & getrecommendations! Published in 2017 at "Acta Applicandae Mathematicae"
DOI: 10.1007/s10440-017-0115-4
Abstract: A 4-particles chain with different masses represents a natural generalization of the classical Fermi-Pasta-Ulam chain. It is studied by identifying the mass ratios that produce prominent resonances. This is a technically complicated problem as we… read more here.
Keywords: chain; pasta ulam; fermi pasta; case ... See more keywords
Nanopteron solutions of diatomic Fermi–Pasta–Ulam–Tsingou lattices with small mass-ratio
Sign Up to like & getrecommendations! Published in 2017 at "Physica D: Nonlinear Phenomena"
DOI: 10.1016/j.physd.2017.07.004
Abstract: Abstract Consider an infinite chain of masses, each connected to its nearest neighbors by a (nonlinear) spring. This is a Fermi–Pasta–Ulam–Tsingou lattice. We prove the existence of traveling waves in the setting where the masses… read more here.
Keywords: mass ratio; pasta ulam; fermi pasta; ulam tsingou ... See more keywords
Nanoptera and Stokes curves in the 2-periodic Fermi–Pasta–Ulam–Tsingou equation
Sign Up to like & getrecommendations! Published in 2020 at "Physica D: Nonlinear Phenomena"
DOI: 10.1016/j.physd.2019.132239
Abstract: This work presents asymptotic solutions to a singularly-perturbed, period-2 FPUT lattice and uses exponential asymptotics to examine `nanoptera', which are nonlocal solitary waves with constant-amplitude, exponentially small wave trains which appear behind the wave front.… read more here.
Keywords: pasta ulam; periodic fermi; stokes curves; nanoptera stokes ... See more keywords
Experimental realization of Fermi-Pasta-Ulam-Tsingou recurrence in a long-haul optical fiber transmission system
Sign Up to like & getrecommendations! Published in 2019 at "Scientific Reports"
DOI: 10.1038/s41598-019-54825-4
Abstract: The integrable nonlinear Schrödinger equation (NLSE) is a fundamental model of nonlinear science which also has important consequences in engineering. The powerful framework of the periodic inverse scattering transform (IST) provides a description of the… read more here.
Keywords: pasta ulam; recurrence; fermi pasta; ulam tsingou ... See more keywords
The β Fermi-Pasta-Ulam-Tsingou recurrence problem.
Sign Up to like & getrecommendations! Published in 2019 at "Chaos"
DOI: 10.1063/1.5122972
Abstract: We perform a thorough investigation of the first Fermi-Pasta-Ulam-Tsingou (FPUT) recurrence in the β-FPUT chain for both positive and negative β. We show numerically that the rescaled FPUT recurrence time Tr=tr/(N+1)3 depends, for large N,… read more here.
Keywords: positive negative; pasta ulam; recurrence; fermi pasta ... See more keywords
Structural localization in the classical and quantum Fermi-Pasta-Ulam model.
Sign Up to like & getrecommendations! Published in 2020 at "Chaos"
DOI: 10.1063/1.5130740
Abstract: We study the statistics and short-time dynamics of the classical and the quantum Fermi-Pasta-Ulam chain in the thermal equilibrium. We analyze the distributions of single-particle configurations by integrating out the rest of the system. At… read more here.
Keywords: quantum; pasta ulam; fermi pasta; quantum fermi ... See more keywords
Pulse solutions of the fractional effective models of the Fermi–Pasta–Ulam lattice with long-range interactions
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Statistical Mechanics: Theory and Experiment"
DOI: 10.1088/1742-5468/ab47fd
Abstract: We study analytical solutions of the Fractional Boussinesq Equation (FBE), which is an effective model for the Fermi-Pasta-Ulam (FPU) one-dimensional lattice with long-range couplings. The couplings decay as a power-law with exponent s, with 1… read more here.
Keywords: pasta ulam; solutions fractional; fermi pasta; lattice long ... See more keywords
Suppressed-to-enhanced thermal transport in a Fermi-Pasta-Ulam superlattice: Mediation roles of solitons and phonons.
Sign Up to like & getrecommendations! Published in 2020 at "Physical Review E"
DOI: 10.1103/physreve.101.042207
Abstract: Managing thermal transport in nanostructured materials possesses both theoretical and application value in thermoelectric and microelectronics design. Though a suppressed thermal conductivity could be easily achieved through disorder-induced phonon scattering in a superlattice, it is… read more here.
Keywords: pasta ulam; superlattice; fermi pasta; suppressed enhanced ... See more keywords
Analysis of ballistic transport and resonance in the α-Fermi-Pasta-Ulam-Tsingou model.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.106.024212
Abstract: Ballistic transport and resonance phenomena are elucidated in the one-dimensional α-Fermi-Pasta-Ulam-Tsingou (FPUT) model using an approach of computing thermal response functions. The existence of periodic oscillations in spatially sinusoidal temperature profiles seen in previous studies… read more here.
Keywords: transport resonance; ballistic transport; transport; fermi pasta ... See more keywords
Chaos and Anderson localization in disordered classical chains: Hertzian versus Fermi-Pasta-Ulam-Tsingou models.
Sign Up to like & getrecommendations! Published in 2019 at "Physical review. E"
DOI: 10.1103/physreve.99.032211
Abstract: We numerically investigate the dynamics of strongly disordered 1D lattices under single-particle displacements, using both the Hertzian model, describing a granular chain, and the α+β Fermi-Pasta-Ulam-Tsingou model (FPUT). The most profound difference between the two… read more here.
Keywords: chain; ulam tsingou; pasta ulam; anderson localization ... See more keywords
Vortex revivals and Fermi-Pasta-Ulam-Tsingou recurrence.
Sign Up to like & getrecommendations! Published in 2019 at "Physical review. E"
DOI: 10.1103/physreve.99.062211
Abstract: We study the self-trapped vortex-ring eigenstates of the two-dimensional Schrödinger equation with focusing Poisson and cubic nonlinearities. For each value of the topological charge l, there is a family of solutions depending on a parameter… read more here.
Keywords: recurrence; ulam tsingou; pasta ulam; fermi pasta ... See more keywords