Classical spin glass system in external field with taking into account relaxation effects
We study statistical properties of disordered spin systems under the influence of an external field with taking into account relaxation effects. For description of system the spatial 1D Heisenberg spin-glass Hamiltonian is used. In addition, we suppose that interactions occur between nearest-neighboring spins and they are random. Exact solutions which define angular configuration of the spin in nodes were obtained from the equations of stationary points of Hamiltonian and the corresponding conditions for the energy local minimum. On the basis of these recurrent solutions an effective parallel algorithm is developed for simulation of stabile spin-chains of an arbitrary length. It is shown that by way of an independent order of N{sup 2} numerical simulations (where N is number of spin in each chain) it is possible to generate ensemble of spin-chains, which is completely ergodic which is equivalent to full self-averaging of spin-chains' vector polarization. Distributions of different parameters (energy, average polarization by coordinates, and spin-spin interaction constant) of unperturbed system are calculated. In particular, analytically is proved and numerically is shown, that for the Heisenberg nearest-neighboring Hamiltonian model, the distribution of spin-spin interaction constants as opposed to widely used Gauss-Edwards-Anderson distribution satisfies Levy alpha-stable distribution law. This distribution ismore »
- Publication Date:
- OSTI Identifier:
- 22212675
- Resource Type:
- Journal Article
- Resource Relation:
- Journal Name: Physics of Atomic Nuclei; Journal Volume: 76; Journal Issue: 8; Other Information: Copyright (c) 2013 Pleiades Publishing, Ltd.; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 74 ATOMIC AND MOLECULAR PHYSICS; ALGORITHMS; CALCULATION METHODS; COMPUTERIZED SIMULATION; EQUATIONS; EXACT SOLUTIONS; FRACTALS; HAMILTONIANS; J-J COUPLING; PERMITTIVITY; POLARIZATION; RELAXATION; SPIN; SPIN GLASS STATE; VECTORS