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The dynamic Hamiltonian of lattice gas models

✍ Scribed by R. Németh

Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
472 KB
Volume
173
Category
Article
ISSN
0378-4371

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✦ Synopsis

We show that the dynamics of lattice gases can be described with an XXZ Heisenberg model in any dimension. The ground state of the system is also calculated for a wide parameter range. The generalized model, allowing more than one particle on a site, can be treated in the same manner arriving at slightly more complicated Hamiltonians. The ground state of the system belongs always to the canonical ensemble and can differ from the grand canonical one.

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Dynamical properties of cluster in the H
Dynamical properties of cluster in the Hamiltonian Mean Field model
✍ Hiroko Koyama; Tetsuro Konishi; Stefano Ruffo 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 160 KB

We investigate some properties of the trapping/untrapping mechanism of a single particle into/outside the cluster in the Hamiltonian Mean Field model. Particle are clustered in the ordered low-energy phase in this model. However, when the number of particles is finite, some particles can acquire a h