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Scaling of the recurrence time in the cubic Fermi-Pasta-Ulam lattice
Institution:1. Department of Mechanical Engineering, Northwestern University, 2145 Sheridan Rd., Evanston, IL 60208, USA;2. Department of Physics, DePaul University, 2219 North Kenmore Ave., Chicago, IL 60614, USA;1. Departamento de Ciências Exatas e da Terra I, Universidade do Estado da Bahia, UNEB, Salvador, Bahia, Brazil;2. Departamento de Ciências Exatas e da Terra, Universidade do Estado da Bahia, UNEB, Alagoinhas, Bahia, Brazil;3. Faculdade de Farmácia, Departamento do Medicamento, Universidade Federal da Bahia, UFBA, Salvador, Bahia, Brazil;4. Laboratório de Neuroquímica e Biologia Celular, Instituto de Ciências da Saúde, UFBA, Brazil;5. Departamento de Química, Universidade Federal de São Carlos, São Carlos, São Paulo, Brazil;1. Centre of Integrable Systems, P.G. Demidov Yaroslavl State University, Russia;2. Institute of Mathematics and Mathematical Modeling MES RK, Pushkin Str. 125, Office 204, Almaty, 050010, Kazakhstan;3. Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan;4. Al-Farabi Kazakh National University, Almaty, 050040, Kazakhstan;5. Department of Mathematics, University of Patras, Patras 26500, Greece;1. Instituto de Fisiología, Facultad de Medicina, Universidad Austral de Chile, and Millennium Nucleus of Ion Channel-Associated Diseases (MiNICAD), Valdivia, Chile;2. Department of Medical Genetics and Molecular Biochemistry, Temple University Lewis Katz School of Medicine, Philadelphia, PA, USA;1. Institute of Chemistry, Tyumen State University, Perekopskaya Str. 15a, Tyumen 625003, Russia;2. Department of General and Special Chemistry, Industrial University of Tyumen, Volodarskogo Str. 38, Tyumen 625000, Russia;3. Department of General Chemistry, Northern Trans-Ural Agricultural University, Respubliki Str. 7, Tyumen 625003, Russia
Abstract:We re-examine the first recurrence time of the cubic FPU lattice as a function of the amplitude of the initial condition and the number of masses in the lattice. The parameter dependence of the recurrence time shows some novel features that are not explained by previous theoretical work.
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