Field crossover

Martensitic traasfonnation Master ec[uations Mean field crossover to Ising Mechanical properties Metallic alloys Metallic glasses Metastable alloys Microhardness test Microscopic theory of nucleation... 

Schwahn, D. Critical to Mean Field Crossover in Polymer Blends. Vol. 183, pp. 1-61. 

From a global assessment of these results, it seems inescapable to conclude that mean-field behavior does not remain valid asymptotically close to the critical point. Rather, ionic systems seem to show Ising-to-mean-field crossover. Such a crossover has been a recurring result observed near liquid-liquid consolute points in Coulombic electrolyte solutions, in ternary aqueous electrolyte solutions containing an organic cosolvent, and in binary aqueous solutions of NaCl near the liquid-vapor critical line. 

Kleemeier, M., Wiegand, S., Derr, T., Weiss, V., Schroer, W., and Weingartner, H. Critical viscosity and Ising-to-mean-field crossover near the upper consolute point of an ionic solution. Ber. Bunsenges. Phys. Chem., 1996, 100, p. 27-32. 

The detailed electronic configuration of a transition-metal ion (e.g. 5 = I, i, or i for a ion), orbital populations, and mixed ligand-field crossover complexes can be studied in detail. Electronic spin relaxation is known in paramagnetic ions. The pressure dependence may give additional information on the bonding-type and anisotropy of the crystal. 

Ligand-field crossover phenomena recorded at lower temperatures (see Chapter 8). 

In Chapters 6 and 7 the data for both high-spin and low-spin iron(II) and iron(III) complexes were discussed. Although these are the common electronic configurations for these oxidation states, there is also a minority group of compounds which show either ligand field crossover from high-spin to low-spin configuration or intermediate spin states, and in addition there are some uncommon oxidation states. 

Table 13 Racah Interelectronic Repulsion Energies for Free Metal Cations, Weak- /Strong-Field Crossover Energies, d-Electron Configurations and LFSEs for Pseudo-Octahedral d" Complexes"...

Critical phenomena and the Ising—mean field crossover... 

Critical to Mean Field Crossover in Polymer Blends... 

Monte Carlo simulations very early demonstrated the effect of thermal composition fluctuations in low molecular blends. Studies by Sariban et al. [16] exclusively found Ising critical behavior in blends of molar volume up to about 16000 cm /mol and no indications of a crossover to mean field behavior. Such a mean field crossover was later detected by Deutsch et aL [ 17] in blends with an order of magnitude larger chains. These results and the techniques of Monte Carlo simiflations have been extensively reviewed by Binder in [4]. 

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