Symmetry-breaking inhomogeneous

So the primordial strong inhomogeneities in the distribution of total, dark matter and baryon density in the Universe is the new important phenomenon of cosmological models, based on particle models with hierarchy of symmetry breaking. 

The finite-size DMRG algorithm provides high-accuracy solutions even when the states of the full Hamiltonian have inhomogeneous (symmetry breaking) properties. 

Upon involving two or even more variables in connection with spatially inhomogeneous systems, the higher-order non-linearity gives rise to more complex phenomena. The best examples are systems controlled by simultaneous chemical reactions and mass diffusion. From the mathematical point of view, the system becomes localized at the thermodynamic branch and the initially stable solution of the appropriate balance equation bifurcates and new stable solutions suddenly appear often overlapping. One such a possibility is time-symmetry breaking, associated with the merging of time-periodic solutions known as limit... 

As is easy to see from Eq. [80] and Figure 7, the Q model predicts the breaking of the symmetry between the absorption and emission widths (Eq. [11]) generated by a statistical distribution of solvent configurations around a donor-acceptor complex (inhomogeneous broadening). This fact may have a significant application to the band shape analysis of optical transitions since unequal absorption and emission width are often observed experimently. " ... 

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