A Three-dimensional Numerical Model for Baroclinic Dynamic in the Malacca Strait

The circulation in the Malacca Strait is simulated using a three-dimensionalbaroclinic numerical model. The circulation model isderived from the combined effects of tides, wind, meteorologicalforcings, temperature and salinity. The computational results producedpattern of general circulation and also sea surface temperature andsalinity. In the present study, the pattem of current circulation in theMalacca Strait coincided with the work [7]

Three-dimensional Gonihedric Potts model

We study, by the Mean Field and Monte Carlo methods, a generalized q-state Potts gonihedric model. The phase transition of the model becomes stronger with increasing $q.$ The value $k_c(q),$ at which the phase transition becomes second order, turns out to be an increasing function of $q.$Comment: 11 pages, 7 figure

Star-Triangle Relation for a Three Dimensional Model

The solvable $sl(n)$-chiral Potts model can be interpreted as a three-dimensional lattice model with local interactions. To within a minor modification of the boundary conditions it is an Ising type model on the body centered cubic lattice with two- and three-spin interactions. The corresponding local Boltzmann weights obey a number of simple relations, including a restricted star-triangle relation, which is a modified version of the well-known star-triangle relation appearing in two-dimensional models. We show that these relations lead to remarkable symmetry properties of the Boltzmann weight function of an elementary cube of the lattice, related to spatial symmetry group of the cubic lattice. These symmetry properties allow one to prove the commutativity of the row-to-row transfer matrices, bypassing the tetrahedron relation. The partition function per site for the infinite lattice is calculated exactly.Comment: 20 pages, plain TeX, 3 figures, SMS-079-92/MRR-020-92. (corrupted figures replaced

Spectral properties of the three-dimensional Hubbard model

We present momentum resolved single-particle spectra for the three-dimensional Hubbard model for the paramagnetic and antiferromagnetically ordered phase obtained within the dynamical cluster approximation. The effective cluster problem is solved by continuous-time Quantum Monte Carlo simulations. The absence of a time discretization error and the ability to perform Monte Carlo measurements directly in Matsubara frequencies enable us to analytically continue the self-energies by maximum entropy, which is essential to obtain momentum resolved spectral functions for the N'eel state. We investigate the dependence on temperature and interaction strength and the effect of magnetic frustration introduced by a next-nearest neighbor hopping. One particular question we address here is the influence of the frustrating interaction on the metal insulator transition of the three-dimensional Hubbard model.Comment: 16 pages, 14 figure

Hyperuniversality of Fully Anisotropic Three-Dimensional Ising Model

For the fully anisotropic simple-cubic Ising lattice, the critical finite-size scaling amplitudes of both the spin-spin and energy-energy inverse correlation lengths and the singular part of the reduced free-energy density are calculated by the transfer-matrix method and a finite-size scaling for cyclic L x L x oo clusters with L=3 and 4. Analysis of the data obtained shows that the ratios and the directional geometric means of above amplitudes are universal.Comment: RevTeX 3.0, 24 pages, 2 figures upon request, accepted for publication in Phys. Rev.

Three dimensional adhesion model for arbitrary rough surfaces

We present a 3D adhesion model based on the JKR theory applied locally for all contacting asperity couple and the calculations account the van der Waals interaction beside the externally applied force. Thus, equilibrium of the system is determined by an extremum in the free total energy and subsequently the contact and the adhesion parameters are computed for that particular position. The model estimates the adhesion of contacting arbitrary rough surfaces taking into account that asperities deform according to one of the three deformation regimes (elastic, elasto-plastic and plastic). The deformation of the contacting asperities is determined by the material properties, the asperity characteristics as well as the surface topography. Results show that even outside the bonding regime the specific bonding energy is still high enough to cause adhesive problems for microstructures