Deformation and death of spiral wave induced by asymmetrical diffusion in elastic media

The effect of asymmetrical diffusion in elastic media on the spiral wave is investigated by using different changeable diffusion coefficients ( D x and D y along the orthometric coordinate axes x and y). The space of adjacent sites changes when deformation of media is considered, and thus the diffusion coefficients D x ( t ) and D y ( t ) are changeable. A stochastic phase is introduced into the changeable diffusion coefficients to simulate the case for asymmetrical diffusion and the results are compared with the ones for symmetrical diffusion. It is found that spiral wave can keep its robustness when the frequency of changeable diffusion coefficients is increasing beyond certain threshold (usually about the intrinsic frequency), spiral wave can become deformed when the frequency of diffusion coefficients is decreased. Otherwise, the spiral wave will be removed when the diffusion coefficients change with certain frequency close to the intrinsic frequency.