Crystalline ground states for classical particles
| dc.creator | Suto, Andras | |
| dc.date | 2005-08-01 | |
| dc.date | 2006-01-05 | |
| dc.date.accessioned | 2026-07-07T06:42:18Z | |
| dc.date.available | 2026-07-07T06:42:18Z | |
| dc.description | Pair interactions whose Fourier transform is nonnegative and vanishes above a wave number K_0 are shown to give rise to periodic and aperiodic infinite volume ground state configurations (GSCs) in any dimension d. A typical three dimensional example is an interaction of asymptotic form cos(K_0 r)/r^4. The result is obtained for densities rho >= rho_d where rho_1=K_0/2pi, rho_2=(sqrt{3}/8)(K_0/pi)^2 and rho_3=(1/8sqrt{2})(K_0/pi)^3. At rho_d there is a unique periodic GSC which is the uniform chain, the triangular lattice and the bcc lattice for d=1,2,3, respectively. For rho>rho_d the GSC is nonunique and the degeneracy is continuous: Any periodic configuration of density rho with all reciprocal lattice vectors not smaller than K_0, and any union of such configurations, is a GSC. The fcc lattice is a GSC only for rho>=(1/6 sqrt{3})(K_0/pi)^3. | |
| dc.description | final version | |
| dc.identifier | https://arxiv.org/abs/math-ph/0508004 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0508004 | |
| dc.identifier | Phys. Rev. Lett. 95, 265501 (2005) | |
| dc.identifier | doi:10.1103/PhysRevLett.95.265501 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101990 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Statistical Mechanics | |
| dc.title | Crystalline ground states for classical particles | |
| dc.type | text |