Effects of weak disorder on the thermalization of Fermi–Pasta–Ulam–Tsingou model
We study the effects of two kinds of weak disorders on the thermalization of the Fermi–Pasta–Ulam–Tsingou model by extensive numerical simulations. The disorders are introduced to the mass of atom or coefficient of the quadratic term of potential energy. The initial energy is distributed equally amo...
| Κύριοι συγγραφείς: | , , |
|---|---|
| Μορφή: | Άρθρο |
| Γλώσσα: | English |
| Έκδοση: |
IOP Publishing
2020-01-01
|
| Σειρά: | New Journal of Physics |
| Θέματα: | |
| Διαθέσιμο Online: | https://doi.org/10.1088/1367-2630/ab9770 |
| _version_ | 1827872945443176448 |
|---|---|
| author | Lulu Sun Zhenjun Zhang Peiqing Tong |
| author_facet | Lulu Sun Zhenjun Zhang Peiqing Tong |
| author_sort | Lulu Sun |
| collection | DOAJ |
| description | We study the effects of two kinds of weak disorders on the thermalization of the Fermi–Pasta–Ulam–Tsingou model by extensive numerical simulations. The disorders are introduced to the mass of atom or coefficient of the quadratic term of potential energy. The initial energy is distributed equally among some lowest frequency modes. We find that the energy transports to high-frequency modes with time t and eventually approaches energy equipartition faster with either weak disorder than that in the homogeneous case. That means weak disorders accelerate the process of thermalization. We further study the effects of two kinds of disorders on the scaling law of equipartition time T _eq . We find that T _eq satisfies the following scaling law: T _eq ∼ ( ɛ ) ^− ^a (| α |) ^− ^b for different disorder strengths in the thermodynamic limit. It is found that the exponent a ≈ 1.0 while b depends on the strength of disorder, which are different from b = 2 a in the homogeneous case. |
| first_indexed | 2024-03-12T16:30:36Z |
| format | Article |
| id | doaj.art-7e901b81b57f4aad92af2e3cd61a2021 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:30:36Z |
| publishDate | 2020-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-7e901b81b57f4aad92af2e3cd61a20212023-08-08T15:31:02ZengIOP PublishingNew Journal of Physics1367-26302020-01-0122707302710.1088/1367-2630/ab9770Effects of weak disorder on the thermalization of Fermi–Pasta–Ulam–Tsingou modelLulu Sun0Zhenjun Zhang1Peiqing Tong2https://orcid.org/0000-0002-3228-1076School of Physics and Technology, Nanjing Normal University , Nanjing 210023, People’s Republic of ChinaCollege of Science, Hohai University , Nanjing 210098, People’s Republic of ChinaSchool of Physics and Technology, Nanjing Normal University , Nanjing 210023, People’s Republic of China; Jiangsu Key Laboratory for Numerical Simulation of Large Scale Complex Systems, Nanjing Normal University , Nanjing 210023, People’s Republic of ChinaWe study the effects of two kinds of weak disorders on the thermalization of the Fermi–Pasta–Ulam–Tsingou model by extensive numerical simulations. The disorders are introduced to the mass of atom or coefficient of the quadratic term of potential energy. The initial energy is distributed equally among some lowest frequency modes. We find that the energy transports to high-frequency modes with time t and eventually approaches energy equipartition faster with either weak disorder than that in the homogeneous case. That means weak disorders accelerate the process of thermalization. We further study the effects of two kinds of disorders on the scaling law of equipartition time T _eq . We find that T _eq satisfies the following scaling law: T _eq ∼ ( ɛ ) ^− ^a (| α |) ^− ^b for different disorder strengths in the thermodynamic limit. It is found that the exponent a ≈ 1.0 while b depends on the strength of disorder, which are different from b = 2 a in the homogeneous case.https://doi.org/10.1088/1367-2630/ab9770energy equipartitionweak disordernonlinearityFermi–Pasta–Ulam–Tsingou model |
| spellingShingle | Lulu Sun Zhenjun Zhang Peiqing Tong Effects of weak disorder on the thermalization of Fermi–Pasta–Ulam–Tsingou model New Journal of Physics energy equipartition weak disorder nonlinearity Fermi–Pasta–Ulam–Tsingou model |
| title | Effects of weak disorder on the thermalization of Fermi–Pasta–Ulam–Tsingou model |
| title_full | Effects of weak disorder on the thermalization of Fermi–Pasta–Ulam–Tsingou model |
| title_fullStr | Effects of weak disorder on the thermalization of Fermi–Pasta–Ulam–Tsingou model |
| title_full_unstemmed | Effects of weak disorder on the thermalization of Fermi–Pasta–Ulam–Tsingou model |
| title_short | Effects of weak disorder on the thermalization of Fermi–Pasta–Ulam–Tsingou model |
| title_sort | effects of weak disorder on the thermalization of fermi pasta ulam tsingou model |
| topic | energy equipartition weak disorder nonlinearity Fermi–Pasta–Ulam–Tsingou model |
| url | https://doi.org/10.1088/1367-2630/ab9770 |
| work_keys_str_mv | AT lulusun effectsofweakdisorderonthethermalizationoffermipastaulamtsingoumodel AT zhenjunzhang effectsofweakdisorderonthethermalizationoffermipastaulamtsingoumodel AT peiqingtong effectsofweakdisorderonthethermalizationoffermipastaulamtsingoumodel |