کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1858918 1037183 2016 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Inner structure of vehicular ensembles and random matrix theory
ترجمه فارسی عنوان
ساختار داخلی سازه های خودرو و تئوری ماتریس تصادفی
کلمات کلیدی
ترافیک وسیله نقلیه، توزیع فاصله زمانی، نظریه ماتریس تصادفی
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
چکیده انگلیسی


• New class of random matrices (DUE) is proposed and analyzed in detail.
• Approximation formula for level spacing distribution in DUE ensembles is analytically derived.
• Connection between DUE and vehicular systems (analogical to a well-known link between GUE and Mexico buses) is presented.
• It is shown that LS distribution of DUE matrices is the same as clearance distribution measured on expressways.

We introduce a special class of random matrices (DUE) whose spectral statistics corresponds to statistics of microscopical quantities detected in vehicular flows. Comparing the level spacing distribution (for ordered eigenvalues in unfolded spectra of DUE matrices) with the time-clearance distribution extracted from various areas of the flux-density diagram (evaluated from original traffic data measured on Czech expressways with high occupancies) we demonstrate that the set of classical systems showing an universality associated with Random Matrix Ensembles can be extended by traffic systems.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physics Letters A - Volume 380, Issue 21, 6 May 2016, Pages 1839–1847
نویسندگان
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