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New collective modes of interaction nature in inhomogeneous Ising networks |
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| Authors: | L. Šamaj J. K. Percus |
| Affiliation: | (1) Courant Institute of Mathematical Sciences, New York University, 10012 New York, New York;(2) Physics Department, New York University, 10012 New York, New York;(3) Present address: Institute of Physics, Slovak Academy of Sciences, 842 28 Bratislava, Slovakia |
| Abstract: | We propose a vertex formulation of the Ising model with inhomogeneous external field on multiconnected networks possessing a superbond structure. The related technique based on gauge degrees of freedom enables us to recognize new collective modes of interaction nature, which provide an exact solution of the inverse profile problem and an explicit form of a local free-energy functional on an extended magnetization-mode space. Application is made to a square strip. |
| Keywords: | Inhomogeneous Ising network profile equation collective modes free energy functional |
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