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DC Field | Value | Language |
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dc.contributor.author | Kim, DH | - |
dc.contributor.author | Kahng, B | - |
dc.contributor.author | Rodgers, GJ | - |
dc.contributor.author | Kim, D | - |
dc.coverage.spatial | 13 | en |
dc.date.accessioned | 2006-10-23T11:46:23Z | - |
dc.date.available | 2006-10-23T11:46:23Z | - |
dc.date.issued | 2006 | - |
dc.identifier.citation | Physical review E 71: 056115, Aug 2006 | en |
dc.identifier.other | Post Print | - |
dc.identifier.uri | http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PLEEE8000071000005056115000001&idtype=cvips&gifs=yes | en |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/287 | - |
dc.description.abstract | We study the Ising spin-glass model on scale-free networks generated by the static model using the replica method. Based on the replica-symmetric solution, we derive the phase diagram consisting of the paramagnetic (P), ferromagnetic (F), and spin glass (SG) phases as well as the Almeida-Thouless line as functions of the degree exponent , the mean degree K, and the fraction of ferromagnetic interactions r. To reflect the inhomogeneity of vertices, we modify the magnetization m and the spin-glass order parameter q with vertex- weights. The transition temperature Tc (Tg) between the P-F (P-SG) phases and the critical behaviors of the order parameters are found analytically. When 2<<3, Tc and Tg are infinite, and the system is in the F phase or the mixed phase for r>1/2, while it is in the SG phase at r=1/2. m and q decay as power-laws with increasing temperature with different -dependent exponents. When >3, the Tc and Tg are finite and related to the percolation threshold. The critical exponents associated with m and q depend on for 3<<5 (3<<4) at the P-F (P-SG) boundary | en |
dc.format.extent | 523253 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | en | - |
dc.publisher | American Physical Society | en |
dc.relation.ispartof | School of Information Systems, Computing and Mathematics; | - |
dc.subject | Spin glasses | en |
dc.subject | Ising model | en |
dc.subject | Ferromagnetic-paramagnetic transitions | en |
dc.subject | Magnetisation | en |
dc.subject | Critical exponents | en |
dc.title | Spin glass phase transition on scale-free networks | en |
dc.type | Research Paper | en |
Appears in Collections: | Mathematical Physics Dept of Mathematics Research Papers Mathematical Sciences |
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