We investigate correlation functions in a periodic box-ball system. For the second and the third nearest neighbor correlation functions, we give explicit formulae obtained by combinatorial methods. A recursion formula for a specific N-point functions is also presented.
- Pub Date:
- March 2011
- correlation function;
- box-ball system;
- Nonlinear Sciences - Exactly Solvable and Integrable Systems;
- Nonlinear Sciences - Cellular Automata and Lattice Gases
- SIGMA 7 (2011), 027, 16 pages