Gelation and Glass Transition in Thermosetting Process of Epoxy Resin

Okabe, Hirotaka; Nishimura, Hideki; Hara, Kazuhiro; Kai, Shoichi

doi:10.1143/ptps.126.119

Cited by 14 publications

(43 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…At the same time, the quantum nature of the core spins does affect the behavior of the system in a profound way, as indicated by the variational results. At finite S, the continuum of Stoner-like single-particle excitations with finite energies is present even at J H !` [3]; also, the spin wave spectra obtained variationally show appreciable quantum-spin corrections [3,4]. These conclusions are fully supported by the exact diagonalization studies of one-dimensional double exchange systems [5][6][7].…”

supporting

confidence: 62%

“…We assume, for simplicity, that only one conduction-electron orbital (with two possible values of spin projection, a ", #) is available per each site i. Throughout the paper we use units in which hopping t,h, and the lattice spacing are all equal to unity, and we consider the T 0 case.There is presently no reason to doubt that for S $ 3͞2 the ground state of the Hamiltonian (1) is ferromagnetic, at least for an infinite system in two or three dimensions and with a finite number of electrons per site, x , 1 (this is corroborated by the variational calculations [3,4,13]; see also Ref. [14] for the 1D case, and Ref.…”

mentioning

confidence: 95%

“…There is presently no reason to doubt that for S $ 3͞2 the ground state of the Hamiltonian (1) is ferromagnetic, at least for an infinite system in two or three dimensions and with a finite number of electrons per site, x , 1 (this is corroborated by the variational calculations [3,4,13]; see also Ref. [14] for the 1D case, and Ref.…”

mentioning

confidence: 95%

See 2 more Smart Citations

Spin Wave Theory of Double Exchange Ferromagnets

Golosov

2000

Phys. Rev. Lett.

105

View full text Add to dashboard Cite

We construct the 1/S spin wave expansion for double exchange ferromagnets at T = 0. It is assumed that the value of Hund's rule coupling, J(H), is sufficiently large, resulting in a fully saturated, ferromagnetic half-metallic ground state. We evaluate corrections to the magnon dispersion law, and we also find that, in contrast to earlier statements in the literature, magnon-electron scattering does give rise to spin wave damping. We analyze the momentum dependence of these quantities and discuss the experimental implications for colossal magnetoresistance compounds.

show abstract

supporting

confidence: 62%

mentioning

confidence: 95%

See 1 more Smart Citation

Spin Wave Theory of Double Exchange Ferromagnets

Golosov

2000

Phys. Rev. Lett.

105

View full text Add to dashboard Cite

show abstract

“…In our previous papers, 17,18 we discussed stability of itinerant ferromagnets on the basis of a model comprising degenerate orbitals. In the strong coupling limit, we observed that the instability condition derived from the individual particle excitation is more stringent than the condition concluded for the spin wave instability.…”

Section: A Hubbard Modelmentioning

confidence: 99%

Spin Wave and Stability of the Double Exchange Ferromagnet

Okabe

1997

Progress of Theoretical Physics

View full text Add to dashboard Cite

To investigate the spin wave and the stability of the ferromagnetic Kondo lattice, we describe the state with Sz = S -1 and that with Sz = S -1/2 in terms of the variational wave function. In this model, it is found that the spin-wave spectrum does not differ appreciably from the RPA result, since the bottom of the individual-particle excitation lies in a relatively high energy region. In this article, the double exchange ferromagnet is discussed with the Nagaoka ferromagnetic state of the U = 00 Hubbard model, with respect to the stability of the ferromagnetic state.the stability of the Nagaoka state 5 ) in the case with the infinite repulsion U = 00 around half-filling. In the course of investigations, the importance of the magnonelectron scattering effect has been stressed. 6) -11) On the other side, as an appropriate method to investigate the stability of the ferromagnetic state in the strong coupling at Kokusai Hoken Keikakugaku (UNIV OF TOKYO) on May 16, 2015 http://ptp.oxfordjournals.org/ Downloaded from IS, + 1/2, S, + 1/2) and IS1:' S,), with weights (1x)L and xL, respectively, where the state IS, Sz) satisfies SIS, M) = S(S + l)IS, M) and SzIS, M) = MIS, M). (For the manganese oxides, we have S, = 3/2. The spin 1/2 is due to the conduction electron.) Flipping one spin decreases Sz by LlS z = -1, and then, we will have the extra configurations IS, + 1/2, S, -1/2) and IS" Sf -1), which are respectively obtained from IS, + 1/2, S, + 1/2) and IS" S,}. These, with their weights in one magnon state, are shown in Fig. 1. These configurations are connected by the hopping of the at Kokusai Hoken Keikakugaku (UNIV OF TOKYO) on May 16, 2015 http://ptp.oxfordjournals.org/ Downloaded from J had better be considered within the subspace which do not suffer U.

show abstract

“…The intensity of PMDETA peaks on the failure surfaces of both sides is higher than in the bulk of foams for all foams. Gelation, which is liquid to rubber transition, is occurred for the PMDI, but a vitrification, which is liquid or rubbery to glassy transition as a result of an increase of average molecular weight and in the crosslink density of the material, can also happen during curing process, and these events depend on the cure temperature (T c ) [21][22][23] . The glass transition temperature (T g ) rises from the initial value to the ultimate glass transition temperature (T g,u ) upon curing 23 and urethane, and also with other isocyanate groups 1 .…”

Section: The Rpuf/aluminium Interface Exposed By Ulammentioning

confidence: 99%