Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2000-12-15
J. Stat. Phys. vol 93 p109 (1998)
Physics
Condensed Matter
Statistical Mechanics
19 pages, 2 figures, published in J. Stat. Phys. vol 93 p109 (1998)
Scientific paper
We prove existence of a shape and boundary condition independent thermodynamic limit for fluids and solids of identical particles with electric or magnetic dipole moments. Our result applies to fluids of hard core particles, to dipolar soft spheres and Stockmayer fluids, to disordered solid composites, and to regular crystal lattices. In addition to their permanent dipole moments, particles may further polarize each other. Classical and quantum models are treated. Shape independence depends on the reduction in free energy accomplished by domain formation, so our proof applies only in the case of zero applied field. Existence of a thermodynamic limit implies texture formation in spontaneously magnetized liquids and disordered solids analogous to domain formation in crystalline solids.
Banerjee Sambaran
Griffiths Robert B.
Widom Michael
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