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- W2050147767 abstract "Analyses the critical behaviour of a three-dimensional spherical model with nearest-neighbour ferromagnetic interactions (of strength J>0) in which there is a regular array of planes of bond defects (perpendicular to the planes) of strength J':0<or=J'<or=J spaced n lattice sites apart. For a fixed, non-zero defect strength J', the critical temperature has the form Tc(J',n)=Tc(pure)+c1(J')n-2+c2(J')n-2+o(n-2). For J'=0 the problem reduces to that of finite size effect, while at J'=J the system becomes homogeneous. Two asymptotically distinct scaling regions correspond to these limiting cases. In both scaling regions the spherical field scales with the variable x identical to n2 phi where phi is proportional to the deviation in spherical field. In terms of the variable lambda identical to 1-(J('/J)2 and its conjugate lambda =(J'/J)2, the impurity strength scales as y=n lambda in the region near J'=J( lambda =0) and as lambda for J' away from zero. These scaling relationships are valid for the spherical constraint equation and the thermodynamic quantities such as the specific heat and entropy." @default.
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- W2050147767 date "1980-07-01" @default.
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- W2050147767 title "The critical behaviour of the spherical model with layered impurities" @default.
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- W2050147767 doi "https://doi.org/10.1088/0305-4470/13/7/025" @default.
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