Ising cellular automata : universality and critical exponents

نویسنده

  • Naeem Jan
چکیده

2014 Two-dimensional Ising-like cellular automata are simulated in zero field for 24 x 24 to 1600 x 1600 systems. We find that the mass fractal dimensionality at the onset of "chaos" (instability of "damage spreading") is 1.9, and dt = 1.3 for the time. These values are indistinguishable from those recently reported for the Kauffman cellular automata and close to those observed for percolation. Tome 51 N03 1er FÉVRIER 1990 1 Phys. France 51 ( 1990) 201-204 ler FÉVRIER 1990,

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Can the Ising critical behavior survive in synchronous cel - lular automata ?

– Universality classes of Ising-like phase transitions are investigated in series of two-dimensional synchronously updated probabilistic cellular automata (PCAs), whose time evolution rules are either of Glauber type or of majority-vote type, and degrees of anisotropy are varied. Although early works showed that coupled map lattices and PCAs with synchronously updating rules belong to a univers...

متن کامل

Can the Ising critical behavior survive in non-equilibrium synchronous cellular automata?

Universality classes of Ising-like phase transitions are investigated in series of two-dimensional synchronously updated probabilistic cellular automata (PCAs), whose time evolution rules are either of Glauber type or of majority-vote type, and degrees of anisotropy are varied. Although early works showed that coupled map lattices and PCAs with synchronously updating rules belong to a universal...

متن کامل

Can the Ising critical behaviour survive in non-equilibrium synchronous cellular automata?

Universality classes of Ising-like phase transitions are investigated in a series of two-dimensional synchronously updated probabilistic cellular automata (PCAs), whose time evolution rules are either of Glauber type or of majority-vote type, and degrees of anisotropy are varied. Although early works showed that coupled map lattices and PCAs with synchronously updating rules belong to a univers...

متن کامل

High order perturbation study of the frustrated quantum Ising chain

In this paper, using high order perturbative series expansion method, the critical exponents of the order parameter and susceptibility in transition from ferromagnetic to disordered phases for 1D quantum Ising model in transverse field, with ferromagnetic nearest neighbor and anti-ferromagnetic next to nearest neighbor interactions, are calculated. It is found that for small value of the frustr...

متن کامل

Ordering Temperatures and Critical Exponents in Ising Spin Glasses.

We propose a numerical criterion which can be used to obtain accurate and reliable values of the ordering temperatures and critical exponents of spin glasses. Using this method we find a value of the ordering temperature for the ±J Ising spin glass in three dimensions which is definitely non-zero and in good agreement with previous estimates. We show that the critical exponents of three dimensi...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2017