@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 = {<div>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 <em>G</em> 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 <em>G</em>, a phase transition at finite temperature may occur.</div>},
	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 = {<div>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 (<em>T</em>), the behavior of the magnetization (<em>M</em>) as a function of <em>T</em> is shown to depend on the strength of the dipolar interaction <em>(G)</em>. For a ring consisting of 10 spins, ferromagnetic states occur in the ground state (<em>T</em>=0) for a small value of <em>G</em>. Antiferromagnetic states are favored when <em>G</em> is large even at a finite temperature. The magnetization saturates at high <em>T</em>. Also, an effective lowering of the total energy is achieved when smaller values of <em>G</em> approach zero and when large value of <em>G</em> is increased further. Similar effects are observed for rings having a larger number of spins.</div>},
	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 = {<div>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.</div>},
	url = {http://journals.upd.edu.ph/index.php/sciencediliman/article/view/85},
	author = {Gina Rose Tongco and Cristine Villagonzalo}
}