کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
422177 685035 2008 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Computability of Topological Pressure for Shifts of Finite Type with Applications in Statistical Physics
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نظریه محاسباتی و ریاضیات
پیش نمایش صفحه اول مقاله
Computability of Topological Pressure for Shifts of Finite Type with Applications in Statistical Physics
چکیده انگلیسی

The topological pressure of dynamical systems theory is examined from a computability theoretic point of view. It is shown that for shift dynamical systems of finite type, the topological pressure is a computable function. This result is applied to a certain class of one dimensional spin systems in statistical physics. As a consequence, the specific free energy of these spin systems is computable. Finally, phase transitions of these systems are considered. It turns out that the critical temperature is not computable without further information on the system.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Electronic Notes in Theoretical Computer Science - Volume 202, 21 March 2008, Pages 385-401