Abstract: Spatio-temporal symmetry-breaking of temperature field in a small spatially distributed Lindemann single-molecule chemical reaction-diffusion-heat conduction system is studied by both the linear stability analysis and the computer numerical simulation. It is shown that the temperature wave can appear beyond spatio-temporal symmetry-breaking bifurcation at a certain constraint controlled externally and a fixed boundary condition for the model system.

Key words: Chemical reaction-diffusion-heat conduction coupling, Lindemann single-molecule reaction model, Spatio-temporal symmetry-breaking of temperature field, Temperature wave