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Monte Carlo simulations of the Ising model on a square lattice with random Gaussian interactions

Data publikacji: 10.02.2015

Czasopismo Techniczne, 2014, Nauki Podstawowe Zeszyt 3 NP (17) 2014, s. 51 - 57

https://doi.org/10.4467/2353737XCT.14.312.3400

Autorzy

Robert Gębarowski
Institute of Physics, Faculty of Physic, Mathematics and Computer Science, Cracow University of Technology
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Tytuły

Monte Carlo simulations of the Ising model on a square lattice with random Gaussian interactions

Abstrakt

The paper shows Monte Carlo simulations of the Ising model on a square lattice with no external magnetic field. In particular, the uncertainty of the spin coupling interactions in the Ising model has been considered. The influence on the phase transition of the Gaussian noise in the spin coupling values has been demonstrated.

Bibliografia

Ising E., Beitrag zur Theorie des Ferromagnetismus, Zeitschrift für Physik, vol. 31, 1925, 253-258.

Lenz W., Beitrag zum Verständnis der magnetishen Erscheinungen in festen Körpern, Zeitschrift für Physik, vol. 21, 1920, 613-615.

Onsager L., Crystal Statistics I. A Two Dimensional Model with an Order-Disorder Transition, Physical Review, vol. 65, 1944, 117-149.

Baxter R.J., Exactly Solved Models in Statistical Mechanics, Academic Press, New York 1982.

Britton J.W., Sawyer B.C., Keith A.C., Wang C.-C.J., Freericks J.K., Uys H., Biercuk M.J. and Bollinger J.J., Engineering two-dimensional Ising interactions in a trapped-ion quantum simulator with hundreds of spins, Nature, vol. 484, 2012, 489-492.

Bornholdt S., Expectation Bubbles in a Spin Model of Markets: Intermittency from Frustration across Scales, International Journal of Modern Physics C, vol. 12 (5), 2001, 667-674.

Sandvik A.W., Computational Studies of Quantum Spin Systems, [in:] A. Avella, F. Mancini (Eds.), Lectures on the Physics of Strongly Correlated Systems XIV, AIP Conference Proceedings, vol. 1297, 2010, 135-338.

Binder K., Finite Size Scaling Analysis of Ising Model Block Distribution Functions, Zeitschrift für Physik B vol. 43, 1981, 119-140. Binder K., Applications of Monte Carlo Methods to Statistical Physics, Reports on Progress in Physics, vol. 60, 1997, 487-559.

Informacje

Informacje: Czasopismo Techniczne, 2014, Nauki Podstawowe Zeszyt 3 NP (17) 2014, s. 51 - 57

Typ artykułu: Oryginalny artykuł naukowy

Tytuły:

Polski:

Monte Carlo simulations of the Ising model on a square lattice with random Gaussian interactions

Angielski:

Monte Carlo simulations of the Ising model on a square lattice with random Gaussian interactions

Autorzy

Institute of Physics, Faculty of Physic, Mathematics and Computer Science, Cracow University of Technology

Publikacja: 10.02.2015

Status artykułu: Otwarte __T_UNLOCK

Licencja: Żadna

Udział procentowy autorów:

Robert Gębarowski (Autor) - 100%

Korekty artykułu:

-

Języki publikacji:

Angielski