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Self-organized criticality is characterized by power law correlations in thenon-equilibrium steady state of externally driven systems. A dynamical systemproposed here self-organizes itself to a critical state with no characteristicsize at ``dynamical equilibrium''. The system is a random solid in contact withan aqueous solution and the dynamics is the chemical reaction of corrosion ordissolution of the solid in the solution. The initial difference in chemicalpotential at the solid-liquid interface provides the driving force. During timeevolution, the system undergoes two transitions, roughening andanti-percolation. Finally, the system evolves to a dynamical equilibrium statecharacterized by constant chemical potential and average cluster size. Thecluster size distribution exhibits power law at the final equilibrium state.Comment: 11 pages, 5 figure

Self-organized dynamical equilibrium in the corrosion of random solids