DOI: https://doi.org/10.30970/jps.02.175
A SIMPLE INTERPOLATION PROCEDURE FOR DIMENSIONAL CROSSOVER PHENOMENA
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Journal of Physical Studies 2(2), 175–180 (1998)
DOI: https://doi.org/10.30970/jps.02.175 A SIMPLE INTERPOLATION PROCEDURE FOR DIMENSIONAL CROSSOVER PHENOMENA |
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L. De Cesare*, L. Craco\dag, I. Rabuffo*,
D. I. Uzunov\ddag
*Dipartimento di Scienze Fisiche ‟E. R. Caianiello",
Università di Salerno, I–84081 Baronissi, Salerno, Italy,
and Istituto Nazionalle per la Fisica della Materia, Unità di Salerno, Italy
\dagMax-Planck-Institut für Physik Komplexer Systeme,
Nöthnitzer Strasse 38, D-01187 Drezden,
Federal Republic of Germany
\ddagCPCM Laboratory, G. Nadjakov Institute of Solid State Physics,
Bulgarian Academy of Sciences, BG-1784 Sofia, Bulgaria
A method of investigation of dimensional crossover phenomena in the theory of phase transitions is illustrated for the finite–size crossover. The dimensional crossover phenomena in systems with quenched extended impurities and inhomogeneities as well as the classical–to–quantum crossover at extremely low temperatures are also discussed. The fundamental interrelationship between the effective dimensionality and the ratio of the relevant characteristic lengths of the system is established and applied to the description of dimensional crossover phenomena.