Self-organized dynamical equilibrium in the corrosion of random solidsS. Sinha, V. Kishore and S. B. Santra
Department of Physics, Indian Institute of Technology Guwahati Guwahati-781039, Assam, India
received 2 May 2005; accepted in final form 20 June 2005
published online 13 July 2005
Self-organized criticality is characterized by power law correlations in the non-equilibrium steady state of externally driven systems. A dynamical system proposed here self-organizes into a critical state with no characteristic size at "dynamical equilibrium". The system is a random solid in contact with an aqueous solution and the dynamics is the chemical reaction of corrosion or dissolution of the solid in the solution. The initial difference in chemical potential at the solid-liquid interface provides the driving force. During time evolution, the system undergoes roughening and anti-percolation transitions. Finally, the system evolves to a dynamical equilibrium state characterized by constant chemical potential and average cluster size. The cluster size distribution exhibits power law at the final equilibrium state.
64.60.Ak - Renormalization-group, fractal, and percolation studies of phase transitions.
68.35.Bs - Structure of clean surfaces (reconstruction).
81.65.Cf - Surface cleaning, etching, patterning.
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