Phase transitions in KIO3

NUMERICAL SIMULATIONS OF THE PHASE TRANSITIONS IN CLUSTERS

We have studied the phase transitions in atomic clusters by molecular dynamics simulation, assuming Lennard-Jones interatomic pair potential. Calculations are performed by DAP parallel computer. The results are analyzed by simulating their orientational distribution plots (dot-plot), and neutron diffraction patterns. It is shown that all the main features of the bulk phase transitions are e...

Phase Transitions in Phase Retrieval

Consider a scenario in which an unknown signal is transformed by a known linear operator, and then the pointwise absolute value of the unknown output function is reported. This scenario appears in several applications, and the goal is to recover the unknown signal – this is called phase retrieval. Phase retrieval has been a popular subject of research in the last few years, both in determining ...

numerical simulations of the phase transitions in clusters

we have studied the phase transitions in atomic clusters by molecular dynamics simulation, assuming lennard-jones interatomic pair potential. calculations are performed by dap parallel computer. the results are analyzed by simulating their orientational distribution plots (dot-plot), and neutron diffraction patterns. it is shown that all the main features of the bulk phase transitions are essen...

Phase Transitions in Phylogeny

We apply the theory of markov random fields on trees to derive a phase transition in the number of samples needed in order to reconstruct phylogenies. We consider the Cavender-Farris-Neyman model of evolution on trees, where all the inner nodes have degree at least 3, and the net transition on each edge is bounded by ǫ. Motivated by a conjecture by M. Steel, we show that if 2(1 − 2ǫ)2 > 1, then...

Phase Transitions in Foams