## 2 Citations

### Response of non-equilibrium systems at criticality: ferromagnetic models in dimension two and above

- Physics
- 2000

We study the dynamics of ferromagnetic spin systems quenched from infinite temperature to their critical point. We perform an exact analysis of the spherical model in any dimension D>2 and numerical…

## References

SHOWING 1-10 OF 13 REFERENCES

### Abelian sandpile model.

- PhysicsPhysical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
- 1993

A systematic and simple method to find the correlation function of the Abelian sandpile model up to any finite order is developed. In addition, an algorithm for evaluating the distribution function…

### Inverse avalanches on Abelian sandpiles.

- Geology, MathematicsPhysical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
- 1994

A simple and computationally efficient way of finding inverse avalanches for Abelian sandpiles, called the inverse particle addition operator, is presented. In addition, the method is shown to be…

### Self-organized critical state of sandpile automaton models.

- Computer Science, PhysicsPhysical review letters
- 1990

The critical state is characterized, and its entropy for an arbitrary finite lattice in any dimension is determined, and the two-point correlation function is shown to satisfy a linear equation.

### Generalized Abelian sandpile model

- Physics
- 1993

A sufficient condition is presented herein for which the particle addition operations commute in the eventual phase space of a general cellular automata‐type of sandpile model. The commutative nature…

### Abelian sandpile model on the bethe lattice

- Physics
- 1990

The authors study Bak, Tang and Wiesenfeld's Abelian sandpile model (1987) of self-organised criticality on the Bethe lattice. Exact expressions for various distribution functions including the…

### On the structure of absolute steady states in sandpile type of cellular automata: The geometrical aspect

- Mathematics
- 1993

It is proved that all bounded subsets of Rn with nonempty interior are cutable. Also found is an if and only if classification of when a nontrivial absolute steady state (ASS) of the sandpile‐type…

### Structure of two-dimensional sandpile. I. Height probabilities

- Physics
- 1994

The height probabilities of the two-dimensional Abelian sandpile model are the fractionial numbers of lattice sites having heights 1, 2, 3, 4. A combinatorial method for evaluation of these…