کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1891544 | 1533660 | 2014 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Effect of self-interaction on the phase diagram of a Gibbs-like measure derived by a reversible Probabilistic Cellular Automata
ترجمه فارسی عنوان
اثر تعامل خود بر روی نمودار فازی یک اندازه گیبس مانند که توسط یک ماشین خودکار سلولی احتمالی قابل برگشت است
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موضوعات مرتبط
مهندسی و علوم پایه
فیزیک و نجوم
فیزیک آماری و غیرخطی
چکیده انگلیسی
Cellular Automata are discrete-time dynamical systems on a spatially extended discrete space which provide paradigmatic examples of nonlinear phenomena. Their stochastic generalizations, i.e., Probabilistic Cellular Automata (PCA), are discrete time Markov chains on lattice with finite single-cell states whose distinguishing feature is the parallel character of the updating rule. We study the ground states of the Hamiltonian and the low-temperature phase diagram of the related Gibbs measure naturally associated with a class of reversible PCA, called the cross PCA. In such a model the updating rule of a cell depends indeed only on the status of the five cells forming a cross centered at the original cell itself. In particular, it depends on the value of the center spin (self-interaction). The goal of the paper is that of investigating the role played by the self-interaction parameter in connection with the ground states of the Hamiltonian and the low-temperature phase diagram of the Gibbs measure associated with this particular PCA.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Chaos, Solitons & Fractals - Volume 64, July 2014, Pages 36-47
Journal: Chaos, Solitons & Fractals - Volume 64, July 2014, Pages 36-47
نویسندگان
Emilio N.M. Cirillo, Pierre-Yves Louis, Wioletta M. Ruszel, Cristian Spitoni,