کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5496784 1399867 2017 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Ising percolation in a three-state majority vote model
ترجمه فارسی عنوان
ایزینگ پروکویت در یک مدل رای اکثریت سه ایالت
کلمات کلیدی
رای اکثریت مدل، دولت غیرقابل توافق، پرکولاسیون، نمایندگان انتقادی، کلاسهای جهانی،
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
چکیده انگلیسی
In this Letter, we introduce a three-state majority vote model in which each voter adopts a state of a majority of its active neighbors, if exist, but the voter becomes uncommitted if its active neighbors are in a tie, or all neighbors are the uncommitted. Numerical simulations were performed on square lattices of different linear size with periodic boundary conditions. Starting from a random distribution of active voters, the model leads to a stable non-consensus state in which three opinions coexist. We found that the “magnetization” of the non-consensus state and the concentration of uncommitted voters in it are governed by an initial composition of system and are independent of the lattice size. Furthermore, we found that a configuration of the stable non-consensus state undergoes a second order percolation transition at a critical concentration of voters holding the same opinion. Numerical simulations suggest that this transition belongs to the same universality class as the Ising percolation. These findings highlight the effect of an updating rule for a tie between voter neighbors on the critical behavior of models obeying the majority vote rule whenever a strict majority exists.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physics Letters A - Volume 381, Issue 5, 5 February 2017, Pages 440-445
نویسندگان
, , , , , , , ,