Thermal re-emission model

Chattopadhyay, Amit K.

doi:10.1103/physrevb.65.041405

Cited by 12 publications

(11 citation statements)

References 25 publications

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“…However, other authors have included the non-locality of the shadowing process in the non-linear part of the evolution equation through a non-local redistribution process of the incident particle flux [69]. The latter model has been studied numerically with a Monte Carlo method [75,76], and analytically [77], finding the same critical exponents, i.e., α ≃ β ≃ z ≃ 1, and α = 1.04, β = 1.08, and, z = 0.96, respectively. In spite of the different formulation of the shadowing instability, the critical exponents coincide.…”

Section: Comparison With Experimental and Other Model Systemsmentioning

confidence: 99%

Dynamical renormalization group study for a class of non-local interface equations

Nicoli¹,

Cuerno²,

Castro³

2011

J. Stat. Mech.

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We provide a detailed Dynamic Renormalization Group study for a class of stochastic equations that describe non-conserved interface growth mediated by non-local interactions. We consider explicitly both the morphologically stable case, and the less studied case in which pattern formation occurs, for which flat surfaces are linearly unstable to periodic perturbations. We show that the latter leads to non-trivial scaling behavior in an appropriate parameter range when combined with the Kardar-Parisi-Zhang (KPZ) non-linearity, that nevertheless does not correspond to the KPZ universality class. This novel asymptotic behavior is characterized by two scaling laws that fix the critical exponents to dimension-independent values, that agree with previous reports from numerical simulations and experimental systems. We show that the precise form of the linear stabilizing terms does not modify the hydrodynamic behavior of these equations. One of the scaling laws, usually associated with Galilean invariance, is shown to derive from a vertex cancellation that occurs (at least to one loop order) for any choice of linear terms in the equation of motion and is independent on the morphological stability of the surface, hence generalizing this well-known property of the KPZ equation. Moreover, the argument carries over to other systems like the Lai-Das Sarma-Villain equation, in which vertex cancellation is known not to imply an associated symmetry of the equation.

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Section: Comparison With Experimental and Other Model Systemsmentioning

confidence: 99%

Dynamical renormalization group study for a class of non-local interface equations

Nicoli¹,

Cuerno²,

Castro³

2011

J. Stat. Mech.

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“…Models with local conservation laws [9,15,19,[27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45] can be considered as a special mechanism to ensure the presence of localised magnons. One particular model in this category is the ideal diamond chain whose ground-state phase diagram was studied in [46].…”

Section: Introductionmentioning

confidence: 99%

Dynamic and thermodynamic properties of the generalized diamond chain model for azurite

Honecker

Peters

et al. 2011

J. Phys.: Condens. Matter

111

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The natural mineral azurite Cu(3)(CO(3))(2)(OH)(2) is an interesting spin-1/2 quantum antiferromagnet. Recently, a generalized diamond chain model has been established as a good description of the magnetic properties of azurite with parameters placing it in a highly frustrated parameter regime. Here we explore further properties of this model for azurite. First, we determine the inelastic neutron scattering spectrum in the absence of a magnetic field and find good agreement with experiments, thus lending further support to the model. Furthermore, we present numerical data for the magnetocaloric effect and predict that strong cooling should be observed during adiabatic (de)magnetization of azurite in magnetic fields slightly above 30 T. Finally, the presence of a dominant dimer interaction in azurite suggests the use of effective Hamiltonians for an effective low-energy description and we propose that such an approach may be useful for fully accounting for the three-dimensional coupling geometry.

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“…In the literature, zigzag-like chains of corner-sharing tetrahedral [2][3][4][5][6] (Fig. 4a), the tetrahedral-cluster spin chain [48][49][50] (Fig. 4b), and the chain of edgesharing tetrahedral [51,52] (Fig.…”

Section: Uniqueness Of Tetrahedral Spin Chains In Klyuchevskite and Pmentioning

confidence: 99%

Frustrated Antiferromagnetic Spin Chains of Edge-Sharing Tetrahedra in Volcanic Minerals K3Cu3(Fe0.82Al0.18)O2(SO4)4 and K4Cu4O2(SO4)4MeCl

Волкова

Marinin

2016

J Supercond Nov Magn

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The calculation of the sign and strength of magnetic interactions in two noncentrosymmetric minerals (klyuchevskite, K3Cu3(Fe0.82Al0.18)O2(SO4)4 and piipite, K4Cu4O2(SO4)4Cu0.5Cl) has been performed based on the structural data. As seen from the calculation results, both minerals comprise quasi-one-dimensional frustrated antiferromagnets. They contain frustrated spin chains from edge-sharing Cu4 tetrahedra with strong antiferromagnetic couplings within chains and very weak ones between chains. Strong frustration of magnetic interactions is combined with the presence of the electric polarization in tetrahedra chains in piipite. The uniqueness of magnetic structures of these minerals caused by peculiarities of their crystal structures has been discussed.Keywords: Frustrated quasi-one-dimensional antiferromagnets, tetrahedral spin chains, klyuchevskite K3Cu3(Fe0.82Al0.18)O2(SO4)4, piypite K4Cu4O2(SO4)4MeCl.

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Thermal re-emission model

Cited by 12 publications

References 25 publications

Dynamical renormalization group study for a class of non-local interface equations

Dynamical renormalization group study for a class of non-local interface equations

Dynamic and thermodynamic properties of the generalized diamond chain model for azurite

Frustrated Antiferromagnetic Spin Chains of Edge-Sharing Tetrahedra in Volcanic Minerals K3Cu3(Fe0.82Al0.18)O2(SO4)4 and K4Cu4O2(SO4)4MeCl

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