کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1896833 | 1044459 | 2009 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Stable and metastable states and the formation and destruction of breathers in the discrete nonlinear Schrödinger equation
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Stable and metastable states and the formation and destruction of breathers in the discrete nonlinear Schrödinger equation Stable and metastable states and the formation and destruction of breathers in the discrete nonlinear Schrödinger equation](/preview/png/1896833.png)
چکیده انگلیسی
Statistical mechanics explains many localization phenomena of lattices such as the discrete nonlinear Schrödinger equation. However, numerical simulations show that the complete thermalization is rarely achieved. Instead, one observes metastable statistical states that are robust when excited locally. This paper investigates thermodynamically metastable states where the trajectory is confined to some part of the energy shell. The partition function and the entropy are computed with a perturbation method. This method is applicable to stable and metastable states, and it allows us to give approximative analytic expressions for the entropy in the complete thermodynamic state space.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volume 238, Issue 20, 15 October 2009, Pages 2067–2077
Journal: Physica D: Nonlinear Phenomena - Volume 238, Issue 20, 15 October 2009, Pages 2067–2077
نویسندگان
Benno Rumpf,