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Please use this identifier to cite or link to this item: http://hdl.handle.net/1783.1/6572
Title: Phase-space networks of geometrically frustrated systems
Authors: Han, Yilong
Keywords: Phase space network
Gaussian spectral densities
Issue Date: Nov-2009
Citation: Physical review E, v. 80, iss. 5, 051102, November 2009
Abstract: We illustrate a network approach to the phase-space study by using two geometrical frustration models: antiferromagnet on triangular lattice and square ice. Their highly degenerated ground states are mapped as discrete networks such that the quantitative network analysis can be applied to phase-space studies. The resulting phase spaces share some comon features and establish a class of complex networks with unique Gaussian spectral densities. Although phase-space networks are heterogeneously connected, the systems are still ergodic due to the random Poisson processes. This network approach can be generalized to phase spaces of some other complex systems.
Rights: Physical Review E © copyright (2009) American Physical Society. The Journal's web site is located at http://pre.aps.org
URI: http://hdl.handle.net/1783.1/6572
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