Exact solution of a one-dimensional deterministic sandpile model
نویسندگان
چکیده
منابع مشابه
Exact solution of a one-dimensional deterministic sandpile model.
Using the transfer matrix method, we give the exact solution of a deterministic sandpile model for arbitrary N , where N is the size of a single toppling. The oneand two-point functions are given in term of the eigenvalues of an N × N transfer matrix. All the n-point functions can be found in the same way. Application of this method to a more general class of models is discussed. We also presen...
متن کاملTemporal correlations in a one-dimensional sandpile model.
We investigate numerically temporal correlations in a one-dimensional critical-slope sandpile model with rules that on average conserve the number of particles. Our work is motivated by the existence of two well-separated time scales in self-organized sandpile models, one related to the spreading of avalanches and the other imposed by the external driving. We assume that avalanches are instanta...
متن کاملExact solution of a one-dimensional fermion model with interchain tunneling.
A fermion model consisting of two chains with interchain tunneling is formulated and solved exactly by the Bethe ansatz method. The interchain tunneling leads to Cooper pair like bound states and a threshold energy is required to overcome the binding energy. The correlation functions manifest superconducting properties.
متن کاملCharacteristics of deterministic and stochastic sandpile models in a rotational sandpile model.
Rotational constraint representing a local external bias generally has a nontrivial effect on the critical behavior of lattice statistical models in equilibrium critical phenomena. In order to study the effect of rotational bias in an out-of-equilibrium situation like self-organized criticality, a two state "quasideterministic" rotational sandpile model is developed here imposing rotational con...
متن کاملA deterministic sandpile automaton revisited
The Bak-Tang-Wiesenfeld (BTW) sandpile model is a cellular automaton which has been intensively studied during the last years as a paradigm for self-organized criticality. In this paper, we reconsider a deterministic version of the BTW model introduced by Wiesenfeld, Theiler and McNamara, where sand grains are added always to one fixed site on the square lattice. Using the Abelian sandpile form...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review E
سال: 1995
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.51.5515