National Science Foundation - NSF [DMS-1809074]

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National Science Foundation - NSF [DMS-1809074]

Authors

Publications

Thermalization in the one-dimensional Salerno model lattice

Mithun, Thudiyangal; Maluckov, Aleksandra; Manda, Bertin Many; Skokos, Charalampos; Bishop, Alan; Saxena, Avadh; Khare, Avinash; Kevrekidis, Panayotis G

(2021) 

TY  - JOUR
AU  - Mithun, Thudiyangal
AU  - Maluckov, Aleksandra
AU  - Manda, Bertin Many
AU  - Skokos, Charalampos
AU  - Bishop, Alan
AU  - Saxena, Avadh
AU  - Khare, Avinash
AU  - Kevrekidis, Panayotis G
PY  - 2021
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/9658
AB  - The Salerno model constitutes an intriguing interpolation between the integrable Ablowitz-Ladik (AL) model and the more standard (nonintegrable) discrete nonlinear Schrödinger (DNLS) one. The competition of local on-site nonlinearity and nonlinear dispersion governs the thermalization of this model. Here, we investigate the statistical mechanics of the Salerno one-dimensional lattice model in the nonintegrable case and illustrate the thermalization in the Gibbs regime. As the parameter interpolating between the two limits (from DNLS toward AL) is varied, the region in the space of initial energy and norm densities leading to thermalization expands. The thermalization in the non-Gibbs regime heavily depends on the finite system size; we explore this feature via direct numerical computations for different parametric regimes. © 2021 American Physical Society.
T2  - Physical Review E
T1  - Thermalization in the one-dimensional Salerno model lattice
VL  - 103
IS  - 3
SP  - 032211
DO  - 10.1103/PhysRevE.103.032211
ER  - 
@article{
author = "Mithun, Thudiyangal and Maluckov, Aleksandra and Manda, Bertin Many and Skokos, Charalampos and Bishop, Alan and Saxena, Avadh and Khare, Avinash and Kevrekidis, Panayotis G",
year = "2021",
abstract = "The Salerno model constitutes an intriguing interpolation between the integrable Ablowitz-Ladik (AL) model and the more standard (nonintegrable) discrete nonlinear Schrödinger (DNLS) one. The competition of local on-site nonlinearity and nonlinear dispersion governs the thermalization of this model. Here, we investigate the statistical mechanics of the Salerno one-dimensional lattice model in the nonintegrable case and illustrate the thermalization in the Gibbs regime. As the parameter interpolating between the two limits (from DNLS toward AL) is varied, the region in the space of initial energy and norm densities leading to thermalization expands. The thermalization in the non-Gibbs regime heavily depends on the finite system size; we explore this feature via direct numerical computations for different parametric regimes. © 2021 American Physical Society.",
journal = "Physical Review E",
title = "Thermalization in the one-dimensional Salerno model lattice",
volume = "103",
number = "3",
pages = "032211",
doi = "10.1103/PhysRevE.103.032211"
}
Mithun, T., Maluckov, A., Manda, B. M., Skokos, C., Bishop, A., Saxena, A., Khare, A.,& Kevrekidis, P. G.. (2021). Thermalization in the one-dimensional Salerno model lattice. in Physical Review E, 103(3), 032211.
https://doi.org/10.1103/PhysRevE.103.032211
Mithun T, Maluckov A, Manda BM, Skokos C, Bishop A, Saxena A, Khare A, Kevrekidis PG. Thermalization in the one-dimensional Salerno model lattice. in Physical Review E. 2021;103(3):032211.
doi:10.1103/PhysRevE.103.032211 .
Mithun, Thudiyangal, Maluckov, Aleksandra, Manda, Bertin Many, Skokos, Charalampos, Bishop, Alan, Saxena, Avadh, Khare, Avinash, Kevrekidis, Panayotis G, "Thermalization in the one-dimensional Salerno model lattice" in Physical Review E, 103, no. 3 (2021):032211,
https://doi.org/10.1103/PhysRevE.103.032211 . .
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Thermalization in the one-dimensional Salerno model lattice

Mithun, Thudiyangal; Maluckov, Aleksandra; Manda, Bertin Many; Skokos, Charalampos; Bishop, Alan; Saxena, Avadh; Khare, Avinash; Kevrekidis, Panayotis G

(2021) 

TY  - JOUR
AU  - Mithun, Thudiyangal
AU  - Maluckov, Aleksandra
AU  - Manda, Bertin Many
AU  - Skokos, Charalampos
AU  - Bishop, Alan
AU  - Saxena, Avadh
AU  - Khare, Avinash
AU  - Kevrekidis, Panayotis G
PY  - 2021
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/9660
AB  - The Salerno model constitutes an intriguing interpolation between the integrable Ablowitz-Ladik (AL) model and the more standard (nonintegrable) discrete nonlinear Schrödinger (DNLS) one. The competition of local on-site nonlinearity and nonlinear dispersion governs the thermalization of this model. Here, we investigate the statistical mechanics of the Salerno one-dimensional lattice model in the nonintegrable case and illustrate the thermalization in the Gibbs regime. As the parameter interpolating between the two limits (from DNLS toward AL) is varied, the region in the space of initial energy and norm densities leading to thermalization expands. The thermalization in the non-Gibbs regime heavily depends on the finite system size; we explore this feature via direct numerical computations for different parametric regimes.
T2  - Physical Review E
T1  - Thermalization in the one-dimensional Salerno model lattice
VL  - 103
IS  - 3
SP  - 032211
DO  - 10.1103/PhysRevE.103.032211
ER  - 
@article{
author = "Mithun, Thudiyangal and Maluckov, Aleksandra and Manda, Bertin Many and Skokos, Charalampos and Bishop, Alan and Saxena, Avadh and Khare, Avinash and Kevrekidis, Panayotis G",
year = "2021",
abstract = "The Salerno model constitutes an intriguing interpolation between the integrable Ablowitz-Ladik (AL) model and the more standard (nonintegrable) discrete nonlinear Schrödinger (DNLS) one. The competition of local on-site nonlinearity and nonlinear dispersion governs the thermalization of this model. Here, we investigate the statistical mechanics of the Salerno one-dimensional lattice model in the nonintegrable case and illustrate the thermalization in the Gibbs regime. As the parameter interpolating between the two limits (from DNLS toward AL) is varied, the region in the space of initial energy and norm densities leading to thermalization expands. The thermalization in the non-Gibbs regime heavily depends on the finite system size; we explore this feature via direct numerical computations for different parametric regimes.",
journal = "Physical Review E",
title = "Thermalization in the one-dimensional Salerno model lattice",
volume = "103",
number = "3",
pages = "032211",
doi = "10.1103/PhysRevE.103.032211"
}
Mithun, T., Maluckov, A., Manda, B. M., Skokos, C., Bishop, A., Saxena, A., Khare, A.,& Kevrekidis, P. G.. (2021). Thermalization in the one-dimensional Salerno model lattice. in Physical Review E, 103(3), 032211.
https://doi.org/10.1103/PhysRevE.103.032211
Mithun T, Maluckov A, Manda BM, Skokos C, Bishop A, Saxena A, Khare A, Kevrekidis PG. Thermalization in the one-dimensional Salerno model lattice. in Physical Review E. 2021;103(3):032211.
doi:10.1103/PhysRevE.103.032211 .
Mithun, Thudiyangal, Maluckov, Aleksandra, Manda, Bertin Many, Skokos, Charalampos, Bishop, Alan, Saxena, Avadh, Khare, Avinash, Kevrekidis, Panayotis G, "Thermalization in the one-dimensional Salerno model lattice" in Physical Review E, 103, no. 3 (2021):032211,
https://doi.org/10.1103/PhysRevE.103.032211 . .
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