@inproceedings {villagonzalo-spp-2006, title = {A finite temperature magnetic phase transition in a one-dimensional lattice}, booktitle = {Proceedings of the 24th Samahang Pisika ng Pilipinas Physics Congress}, year = {2006}, month = {25{\textendash}27 Oct 2006}, pages = {SPP-2006-155}, address = {Ateneo de Davao University, Davao City}, abstract = {
The effects of a long-range interaction on the magnetization and the heat capacity of a one-dimensional (1D) magnetic ring is studied. In this work, the Monte Carlo method is employed to obtain the equilibrium state of a modified 1D Ising model in a ring geometry having a dipolar interaction of strength G between spins. For a ring consisting of ten spins, the critical temperature at which an ordered state is achieved increases with the absolute value of the dipolar strength. A peak in the heat capacity is observed at finite temperatures. Depending on the magnitude of G, a phase transition at finite temperature may occur.
}, author = {Cristine Villagonzalo and Gina Rose Tongco} } @inproceedings {tongco-spp-2004, title = {Dipolar interaction in a 1-D Ising ring}, booktitle = {Proceedings of the 22nd Samahang Pisika ng Pilipinas Physics Congress}, year = {2004}, month = {25{\textendash}27 Oct 2004}, pages = {31}, address = {Bohol Tropics Resort, Tagbilaran City}, abstract = {
The effects of a long-range interaction in a one-dimensional (1D) magnetic ring is studied. In this work, the Monte Carlo method is employed to obtain the equilibrium state of a modified quasi-1D Ising model having a dipolar interaction in a ring geometry. At low temperatures (T), the behavior of the magnetization (M) as a function of T is shown to depend on the strength of the dipolar interaction (G). For a ring consisting of 10 spins, ferromagnetic states occur in the ground state (T=0) for a small value of G. Antiferromagnetic states are favored when G is large even at a finite temperature. The magnetization saturates at high T. Also, an effective lowering of the total energy is achieved when smaller values of G approach zero and when large value of G is increased further. Similar effects are observed for rings having a larger number of spins.
}, author = {Gina Rose Tongco and Cristine Villagonzalo} } @article {Tongco2004, title = {Dipolar interaction in a one-dimensional Ising ring}, journal = {Science Diliman}, volume = {16}, year = {2004}, pages = {8-9}, abstract = {
As synthesis of low-dimensional magnetic systems become possible, the need for theoretical understanding of their behavior arises. In this work, the authors explore a one-dimensional magnetic structure with the spins having dipolar interaction.
}, url = {http://journals.upd.edu.ph/index.php/sciencediliman/article/view/85}, author = {Gina Rose Tongco and Cristine Villagonzalo} }