One-Dimensional Ising Model with "k"-Spin Interactions

Autor/in	Fan, Yale
Titel	One-Dimensional Ising Model with "k"-Spin Interactions
Quelle	In: European Journal of Physics, 32 (2011) 6, S.1643-1650 (8 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0143-0807
DOI	10.1088/0143-0807/32/6/018
Schlagwörter	Models; Science Instruction; College Science; Computation; Scientific Concepts; Interaction; Motion; Magnets; Toys; Problem Solving; Matrices; Generalization + Suchen Sie Ihr Suchwort? Analogiemodell; Teaching of science; Science education; Natural sciences Lessons; Naturwissenschaftlicher Unterricht; Interaktion; Bewegungsablauf; Stabmagnet; Toy; Spielzeug; Problemlösen; Matrizenrechnung
Abstract	We examine a generalization of the one-dimensional Ising model involving interactions among neighbourhoods of "k" adjacent spins. The model is solved by exploiting a connection to an interesting computational problem that we call ""k"-SAT on a ring", and is shown to be equivalent to the nearest-neighbour Ising model in the absence of an external magnetic field. The aim of this paper is to explore an interplay of ideas in the context of a toy problem, while introducing a way of thinking about exactly solvable models in terms of "computational analogues". (Contains 1 table.) (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10