title: Energy landscape of the finite-size spherical three-spin glass model.
abstract: We study the three-spin spherical model with mean-field interactions and Gaussian random couplings. For moderate system sizes of up to 20 spins, we obtain all stationary points of the energy landscape by means of the numerical polynomial homotopy continuation method. On the basis of these stationary points, we analyze the complexity and other quantities related to the glass transition of the model and compare these finite-system quantities to their exact counterparts in the thermodynamic limit.
authors.affiliation: Department of Physics, Syracuse University, Syracuse, New York 13244, USA. dbmehta@syr.edu
authors.forename: Dhagash
authors.initials: D
authors.lastname: Mehta
authors.forename: Daniel A
authors.initials: DA
authors.lastname: Stariolo
authors.forename: Michael
authors.initials: M
authors.lastname: Kastner
mesh_terms: D003198:Computer Simulation; D004735:Energy Transfer; D015233:Models, Statistical; D016011:Normal Distribution; D044367:Phase Transition; D013113:Spin Labels; D013816:Thermodynamics
chemical_list: D013113:Spin Labels