An established unified theory of the liquid–glass transition in one-component liquids is extended to multi-component liquids. The universal features such as the Kauzmann paradox, the Vogel–Tamman–Fulcher (VTF) law on the relaxation times and the transport coefficients, the jump of the...

The mechanism of the financial panic is clarified by the two band model in a simplified capitalist society from statistical mechanics. A financial panic occurs on an occasion of the supercooling process to avoid completing the financial (buy–sell) cycles under the circumstances: extremely high...

Taking into account the scattering processes due to random eigenfrequencies and random hopping matrices, we calculate the correlation functions of density fluctuations associated with the particle--hole pairs in the intraband and interband. The correlation functions for the intraband yield sound...