PMID: 11308551Apr 20, 2001Paper

Exactly solved dynamics for an infinite-range spin system

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
E Milotti

Abstract

It is well known that the dynamical evolution of a system of N spins can be viewed as a walk along the edges of an N-dimensional hypercube. I use this correspondence in an infinite-range spin system to derive a diffusion equation for the magnetization. The diffusion equation then leads to an ordinary differential equation that describes the time evolution of the magnetization for any given initial condition, and it is used to derive both static and dynamic properties of the spin system.

References

Dec 1, 1985·Physical Review. B, Condensed Matter·A T Ogielski
Oct 25, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·J Y Zhu, Z R Yang

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Citations

May 11, 2016·IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control·David B Leeson
Jun 6, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Xiang-Mu Kong, Z R Yang
Apr 20, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Natali GulbahceW Klein
Feb 28, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Edoardo Milotti

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