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Title: Canonical vs. micro-canonical sampling methods in a 2D Ising model

Technical Report ·
DOI:https://doi.org/10.2172/6095623· OSTI ID:6095623

Canonical and micro-canonical Monte Carlo algorithms were implemented on a 2D Ising model. Expressions for the internal energy, U, inverse temperature, Z, and specific heat, C, are given. These quantities were calculated over a range of temperature, lattice sizes, and time steps. Both algorithms accurately simulate the Ising model. To obtain greater than three decimal accuracy from the micro-canonical method requires that the more complicated expression for Z be used. The overall difference between the algorithms is small. The physics of the problem under study should be the deciding factor in determining which algorithm to use. 13 refs., 6 figs., 2 tabs.

Research Organization:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Organization:
USDOE; USDOE, Washington, DC (USA)
DOE Contract Number:
AC03-76SF00098
OSTI ID:
6095623
Report Number(s):
LBL-30056; ON: DE91010204; TRN: 91-008563
Country of Publication:
United States
Language:
English