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Fermi-Pasta-Ulam recurrences of incoherent waves

Fermi-Pasta-Ulam recurrences of incoherent waves
Fermi-Pasta-Ulam recurrences of incoherent waves
In the early 1950s, Fermi, Pasta and Ulam (FPU) published a seminal report in which they numerically investigated the dynamics of a one-dimensional anharmonic chains of particles. They argued that, owing to the nonlinear coupling, the system would irreversibly relax to a state of thermal equilibrium, in which the energy is equidistributed among all modes. Instead of such a thermalization process, FPU observed a recurrent transfer of energy among only few neighbouring modes. Such an energy transfer is reversible since after some time the system nearly goes back to its initial state. The attempt to resolve the paradox of FPU recurrences had a deep impact in the development of nonlinear science, such as the discovery of integrability and solitons.
NpTh2C.5
Guasoni, M.
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Garnier, J.
b8ec781d-b346-4a51-bdae-9f82dca33550
Rumpf, B.
cc97c4f9-f9a6-4d18-a10a-5092ded62e7a
Sugny, D.
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Xu, Guoqiang
e29fa0f3-379e-4a3f-b7ac-f5c7163fcfee
Fatome, J.
5b84ab77-5c51-46e3-a116-581511c76f22
Millot, G.
45aba25e-7828-4016-b332-0814d8e68c5a
Picozzi, A.
450f9a66-d279-4e86-8833-28b141264e38
Guasoni, M.
5aa684b2-643e-4598-93d6-bc633870c99a
Garnier, J.
b8ec781d-b346-4a51-bdae-9f82dca33550
Rumpf, B.
cc97c4f9-f9a6-4d18-a10a-5092ded62e7a
Sugny, D.
3bf18f03-81c9-4645-8576-e4f018f4e46b
Xu, Guoqiang
e29fa0f3-379e-4a3f-b7ac-f5c7163fcfee
Fatome, J.
5b84ab77-5c51-46e3-a116-581511c76f22
Millot, G.
45aba25e-7828-4016-b332-0814d8e68c5a
Picozzi, A.
450f9a66-d279-4e86-8833-28b141264e38

Guasoni, M., Garnier, J., Rumpf, B., Sugny, D., Xu, Guoqiang, Fatome, J., Millot, G. and Picozzi, A. (2017) Fermi-Pasta-Ulam recurrences of incoherent waves. 2017 Conference on Lasers and Electro-Optics Europe & European Quantum Electronics Conference (CLEO/Europe-EQEC), , Munich, Germany. 25 - 29 Jun 2017. NpTh2C.5 . (doi:10.1109/CLEOE-EQEC.2017.8087728).

Record type: Conference or Workshop Item (Paper)

Abstract

In the early 1950s, Fermi, Pasta and Ulam (FPU) published a seminal report in which they numerically investigated the dynamics of a one-dimensional anharmonic chains of particles. They argued that, owing to the nonlinear coupling, the system would irreversibly relax to a state of thermal equilibrium, in which the energy is equidistributed among all modes. Instead of such a thermalization process, FPU observed a recurrent transfer of energy among only few neighbouring modes. Such an energy transfer is reversible since after some time the system nearly goes back to its initial state. The attempt to resolve the paradox of FPU recurrences had a deep impact in the development of nonlinear science, such as the discovery of integrability and solitons.

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More information

Published date: 2 July 2017
Venue - Dates: 2017 Conference on Lasers and Electro-Optics Europe & European Quantum Electronics Conference (CLEO/Europe-EQEC), , Munich, Germany, 2017-06-25 - 2017-06-29

Identifiers

Local EPrints ID: 442105
URI: http://eprints.soton.ac.uk/id/eprint/442105
PURE UUID: e1677fba-4b2e-437d-9a8b-34337bef00a3

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Date deposited: 07 Jul 2020 16:49
Last modified: 28 Jun 2022 17:12

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Contributors

Author: M. Guasoni
Author: J. Garnier
Author: B. Rumpf
Author: D. Sugny
Author: Guoqiang Xu
Author: J. Fatome
Author: G. Millot
Author: A. Picozzi

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