کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
7380270 1480161 2014 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Statistical distribution of bonding distances in a unidimensional solid
ترجمه فارسی عنوان
توزیع آماری فاصله های اتصال در جامد دو طرفه
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
چکیده انگلیسی
We study a Fermi-Pasta-Ulam-like chain with Lennard-Jones potentials to model a unidimensional solid in contact with heat baths at a given temperature. We formulate an explicit analytical expression for the probability density of bonding distances between neighboring particles, which depends on temperature similarly to the distribution of velocities. For a finite number of particles, its validity is verified with high accuracy through molecular dynamics simulations. We also provide a theoretical framework which is consistent with the numerical findings. We give an analytic expression of the mean bond distance and elastic constant in the case of the square-well and harmonic interparticle potentials: we outline the role played by the hard-core repulsion. We also calculate the same quantities in the case of series expansions of Lennard-Jones potential truncated at different, even series power.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 412, 15 October 2014, Pages 19-31
نویسندگان
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