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| The random first-order transition theory has been directly proved by the theoretical proof for the standard WLF equation, based on the intrinsic 8 orders of instant 2-D mosaic geometric structures, in the glass transition. The theoretical proof shows that the constant c1 in the WLF equation, taking logarithm, is the non-dimension activity energy to break solid-lattice, and c2k the potential well energy. The Clapeyron equation governing the first order phase transition in thermodynamics only holds true in subsystem, instead of system. The many-times repeated application of the first order phase transition law on subsystems will result in the glass transition and the singularity. The theoretical proof shows that the mode of glass transition is slow inverse cascade, to break solid domain, and fast cascade, to relax stress, of excited interface energy flow in local zone, and the glass transition is an emergent behavior of the subsystems of system. The subsystem here is a percolation caused by the connections of excited interface energy flow in time and in space in the glass transition. |
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| Keywords:Glass transition, WLF equation, Mosaic geometric structure, Percolation, Random first order transition |
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