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The European Physical Journal B

Monte Carlo simulation of spin-aligned atomic hydrogen

P. Entel, J. K. Anlauf

Published Sep 1, 1981• 6 citations
Publisher
DOI
10.1007/bf01422022

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The bulk, ground state properties of atomic hydrogen, deuterium, and tritium systems are calculated assuming that all pair interactions occur via the 3Σ+u atomic triplet potential. The conditions required to obtain this system, including inhibition of recombination through the energetically favorable singlet interaction, are discussed. The internal energy, pressure, and compressibility are calculated over the volume range 40 cm3/mole ? V ⩽200 cm3/mole applying the Monte Carlo technique with a quantum mechanical variational wavefunction. The system studied consisted of 32 atoms in a box with periodic boundary conditions. Results show that atomic triplet hydrogen and deuterium remain gasous at 0 K; i.e., the internal energy is positive at all molar volumes considered. Under the same conditions, tritium forms a liquid with a binding energy of E0 ? −0.75 K per atom, at a volume of V ? 130 cm3/mole. The pair distribution function for these systems is also calculated. A brief discussion of the predicted superfluid behavior of 3Σ+u hydrogen and tritium is presented.

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Monte Carlo simulation of an antiferromagnetic spin-1/2 Ising system on the square lattice

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We have studied the thermodynamic and magnetic properties of the spin 1/2 XXZ Ising model on a two dimensional square lattice using Monte Carlo simulation, in the presence of transverse magnetic field for varying lattice sizes (N=8-40) and exchange interaction strengths. The variations in specific heat and susceptibility for different N values is almost negligible, except for N=8. Interestingly, the magnetization showed large variation with N. This could be attributed to the increase in the disorder of spin alignment with increasing N.

AIP conference proceedings•Jan 1, 2012•0 citations
The bulk, ground state properties of atomic hydrogen, deuterium, and tritium systems are calculated assuming that all pair interactions occur via the 3Σ+u atomic triplet potential. The conditions required to obtain this system, including inhibition of recombination through the energetically favorable singlet interaction, are discussed. The internal energy, pressure, and compressibility are calculated over the volume range 40 cm3/mole ? V ⩽200 cm3/mole applying the Monte Carlo technique with a quantum mechanical variational wavefunction. The system studied consisted of 32 atoms in a box with periodic boundary conditions. Results show that atomic triplet hydrogen and deuterium remain gasous at 0 K; i.e., the internal energy is positive at all molar volumes considered. Under the same conditions, tritium forms a liquid with a binding energy of E0 ? −0.75 K per atom, at a volume of V ? 130 cm3/mole. The pair distribution function for these systems is also calculated. A brief discussion of the predicted superfluid behavior of 3Σ+u hydrogen and tritium is presented.
We have studied the thermodynamic and magnetic properties of the spin 1/2 XXZ Ising model on a two dimensional square lattice using Monte Carlo simulation, in the presence of transverse magnetic field for varying lattice sizes (N=8-40) and exchange interaction strengths. The variations in specific heat and susceptibility for different N values is almost negligible, except for N=8. Interestingly, the magnetization showed large variation with N. This could be attributed to the increase in the disorder of spin alignment with increasing N.