Akutsu, Akutsu, and Yamamoto reply

Akutsu, Yasuhiro; Akutsu, Noriko; Yamamoto, Takao

doi:10.1103/physrevlett.62.2637

Cited by 68 publications

(105 citation statements)

References 15 publications

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“…Both exponents disagree with the GMPT universal values of θ n = 3/2 and θ t = 3 [32]. Consequently, we conclude that the profile near the (001) facet contour for T f,2 < T < T f,1 and φ 0 = π/4 shows non-GMPT behavior in the limit p r , p t → 0.…”

Section: Non-universal Shape Exponentsmentioning

confidence: 51%

“…In fact, the slope dependence of the mean step height for the RSOS-I model seems to be different to that for the p-RSOS model. A detailed study on the RSOS-I model will be reported elsewhere [92].…”

Section: Expression For Non-gmpt Vicinal Surface Free Energymentioning

confidence: 99%

“…7 (b)). The "normal shape exponent" θ n is defined as the shape exponent [32] along P P ′ on the ECS profile such that |Z(X(r),…”

Section: Non-universal Shape Exponentsmentioning

confidence: 99%

“…If we consider a coarse-grained vicinal surface of the original RSOS model, the steps can be f (ρ ) 2 2 f (ρ ) 3 3 f (ρ ) regarded as continuous lines describing the space-time trajectories of Brownian particles with hard-core repulsion. If the particle density is low, the Hamiltonian for the transfer matrix in the continuous system is known to be described by 1D free fermions [21]- [23], [29], and the free energy is expressed by Eq. (1).…”

Section: Breakdown Of Homogeneous 1d Fermion Systemmentioning

confidence: 99%

“…From statistical mechanical calculations using the RSOS-I model, a first-order shape transition is found to occur on the ECS profile. In addition to the shape transition, the "shape exponent" on the ECS seems to have values different from the universal Gruber-Mullins-Pokrovsky-Talapov (GMPT) or one-dimensional (1D) free fermion values [20]- [32].…”

Section: Introductionmentioning

confidence: 99%

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Non-universal equilibrium crystal shape results from sticky steps

Akutsu¹

2011

J. Phys.: Condens. Matter

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Abstract. The anisotropic surface free energy, Andreev surface free energy, and equilibrium crystal shape (ECS) z = z(x, y) are calculated numerically using a transfer matrix approach with the density matrix renormalization group (DMRG) method. The adopted surface model is a restricted solid-on-solid (RSOS) model with "sticky" steps, i.e., steps with a point-contact type attraction between them (p-RSOS model). By analyzing the results, we obtain a first-order shape transition on the ECS profile around the (111) facet; and on the curved surface near the (001) facet edge, we obtain shape exponents having values different from those of the universal GruberMullins-Pokrovsky-Talapov (GMPT) class. In order to elucidate the origin of the non-universal shape exponents, we calculate the slope dependence of the mean step height of "step droplets" (bound states of steps) n(p) using the Monte Carlo method, where p = (∂z/∂x, ∂z/∂y), and · represents the thermal average. Using the result of the |p| dependence of n(p) , we derive a |p|-expanded expression for the non-universal surface free energy f eff (p), which contains quadratic terms with respect to |p|. The first-order shape transition and the non-universal shape exponents obtained by the DMRG calculations are reproduced thermodynamically from the non-universal surface free energy f eff (p).

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Section: Non-universal Shape Exponentsmentioning

confidence: 51%

Section: Expression For Non-gmpt Vicinal Surface Free Energymentioning

confidence: 99%

“…7 (b)). The "normal shape exponent" θ n is defined as the shape exponent [32] along P P ′ on the ECS profile such that |Z(X(r),…”

Section: Non-universal Shape Exponentsmentioning

confidence: 99%

Section: Breakdown Of Homogeneous 1d Fermion Systemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Non-universal equilibrium crystal shape results from sticky steps

Akutsu¹

2011

J. Phys.: Condens. Matter

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Mental health of Asian Indians: Relevant issues and community implications

Durvasula

Mylvaganam

1994

J. Community Psychol.

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The current body of research on Asian–American mental health issues has not sufficiently addressed the needs of Asian Indians. Demographically and historically this group is distinct from other Asian immigrant groups. This article examines how the unique aspects of Asian Indian culture may differentially impinge on mental health issues such as acculturation, rates of psychopathology, and manifestation of psychiatric symptoms. The ramifications of these factors for the construction of community mental health models for these groups are also addressed. Recommendations and hypotheses for future research in this area are suggested.

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Gravitational waves from a Pati-Salam phase transition

Croon

Gonzalo

White

2019

J. High Energ. Phys.

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We analyse the gravitational wave and low energy signatures of a Pati-Salam phase transition. For a Pati-Salam scale of M P S ∼ 10 5 GeV, we find a stochastic power spectrum within reach of the next generation of ground-based interferometer experiments such as the Einstein Telescope, in parts of the parameter space. We study the lifetime of the proton in this model, as well as complementarity with low energy constraints including electroweak precision data, neutrino mass measurements, lepton flavour violation, and collider constraints.

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Akutsu, Akutsu, and Yamamoto reply

Cited by 68 publications

References 15 publications

Non-universal equilibrium crystal shape results from sticky steps

Non-universal equilibrium crystal shape results from sticky steps

Mental health of Asian Indians: Relevant issues and community implications

Gravitational waves from a Pati-Salam phase transition

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