Three-dimensional Gonihedric spin system

Koutsoumbas, G; Savvidy, GK

dc.contributor.author	Koutsoumbas, G	en
dc.contributor.author	Savvidy, GK	en
dc.date.accessioned	2014-03-01T01:18:26Z
dc.date.available	2014-03-01T01:18:26Z
dc.date.issued	2002	en
dc.identifier.issn	0217-7323	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15011
dc.subject	Monte-Carlo	en
dc.subject	Spin models	en
dc.subject	Strings	en
dc.subject.classification	Physics, Nuclear	en
dc.subject.classification	Physics, Particles & Fields	en
dc.subject.classification	Physics, Mathematical	en
dc.subject.other	acceleration	en
dc.subject.other	anisotropy	en
dc.subject.other	article	en
dc.subject.other	calculation	en
dc.subject.other	mathematical model	en
dc.subject.other	molecular interaction	en
dc.subject.other	Monte Carlo method	en
dc.subject.other	phase transition	en
dc.subject.other	quantum mechanics	en
dc.subject.other	system analysis	en
dc.subject.other	three dimensional imaging	en
dc.title	Three-dimensional Gonihedric spin system	en
heal.type	journalArticle	en
heal.identifier.primary	10.1142/S0217732302006965	en
heal.identifier.secondary	http://dx.doi.org/10.1142/S0217732302006965	en
heal.language	English	en
heal.publicationDate	2002	en
heal.abstract	We perform Monte-Carlo simulations of a three-dimensional spin system with a Hamiltonian which contains only four-spin interaction term. This system describes random surfaces with extrinsic curvature-gonihedric action. We study the anisotropic model when the coupling constants beta(S) for the space-like plaquettes and beta(T) for the transverse-like plaquettes are different. In the two limits beta(T)=0 and beta(T)=0 the system has been solved exactly and the main interest is to see what happens when we move away from these points towards the isotropic point, where we recover the original model. We find that the phase transition is of first order for beta(T)=beta(S) approximate to 0.25, while away from this point it becomes weaker and eventually turns to a crossover. The conclusion which can be drawn from this result is that the exact solution at the point beta(S)=0 in terms of 2D-Ising model should be considered as a good zero-order approximation in the description of the system also at the isotropic point beta(S)=beta(T) and clearly confirms the earlier findings that at the isotropic point the original model shows a first-order phase transition.	en
heal.publisher	WORLD SCIENTIFIC PUBL CO PTE LTD	en
heal.journalName	Modern Physics Letters A	en
dc.identifier.doi	10.1142/S0217732302006965	en
dc.identifier.isi	ISI:000176018100005	en
dc.identifier.volume	17	en
dc.identifier.issue	12	en
dc.identifier.spage	751	en
dc.identifier.epage	761	en