Statistical mechanics of onedimensional single component LandauGinzburg fields
Abstract
The singlecomponent LandauGinzburg problem is solved approximately in one dimension. A variational solution is obtained for the equivalent anharmonic oscillator problem in quantum mechanics; the specific heat, the susceptibility, the order parameter correlation function, and the order parameter in a small external field are obtained from the solution. These results show that there is no sharp phase transition, although the system becomes ordered at low temperatures upon application of a very small field.
 Publication:

Unknown
 Pub Date:
 January 1974
 Bibcode:
 1974smod.rept.....L
 Keywords:

 LandauGinzburg Equations;
 Magnetic Permeability;
 Phase Transformations;
 Quantum Statistics;
 Ground State;
 Magnetic Fields;
 Mathematical Models;
 Quantum Mechanics;
 Specific Heat;
 Thermodynamics and Statistical Physics