scholarly journals Theory of phase transitions by the collective variables method: accurate critical indices and detailed comparison with the other approaches

1995 ◽  
pp. 23
Author(s):  
Ilnytskyi ◽  
Kozlovskii
Keyword(s):  
Phase Transitions ◽  
Detailed Comparison ◽  
The Other ◽  
Collective Variables ◽  
Critical Indices

On the Theory of Phase Transitions by the Collective Variables Methods

1997 ◽  
Vol 11 (08) ◽  
pp. 1009-1022 ◽  
Author(s):  
Ja. M. Ilnytskyi ◽  
M. P. Kozlovskii ◽  
I. R. Yukhnovskii
Keyword(s):  
Phase Transitions ◽  
The Other ◽  
Collective Variables ◽  
Critical Indices ◽  
Low Level ◽  
Transitions Theory

We calculate relatively accurate critical indices within the collective variables method applied to the phase transitions theory. Discussion on stability of the results and low-level comparison with the other approaches is made.

Unraveling the identity of Paepalanthus decorus (Eriocaulaceae)

Phytotaxa ◽  
2021 ◽  
Vol 518 (3) ◽  
pp. 231-238
Author(s):  
LUCAS ESPINDOLA FLORÊNCIO DA SILVA ◽  
MARCELO TROVÓ
Keyword(s):  
Floral Morphology ◽  
Rio Grande ◽  
Detailed Comparison ◽  
The Other ◽  
Original Publication ◽  
Rio Grande Do Sul ◽  
The South ◽  
Type Specimens ◽  
La Plata

Paepalanthus decorus was described by Delia Abbiatti from a single collection of individuals made by Carlos Luis Spegazzini in Uruguaiana, Rio Grande do Sul state, Brazil, deposited at the La Plata Museum. The species is known only from the type specimens, which were unusual for being collected far to the south of the distribution of the other species included in P. sect. Diphyomene. In recent nomenclatural treatments for P. sect. Diphyomene, P. decorus was disregarded, remaining known only from its original publication. Here, we critically evaluate the protologue, type specimens, and the vegetative and floral morphology of this species. As a result, we propose its synonymization under P. flaccidus. A detailed comparison of these species is provided, along with comments on typification, with a lectotype designated for P. flaccidus.

scholarly journals Comportamento tático coletivo em Pequenos Jogos no Futebol: influência de jogadores adicionais

2016 ◽  
Vol 18 (1) ◽  
pp. 62 ◽  
Author(s):  
Gibson Moreira Praça ◽  
Hugo Folgado ◽  
André Gustavo Pereira de Andrade ◽  
Pablo Juan Greco
Keyword(s):  
The Other ◽  
Soccer Players ◽  
Width Ratio ◽  
Collective Variables ◽  
Other Hand ◽  
Centroid Distance ◽  
Friedman's Test ◽  
Polar Coordinate ◽  
Length Width ◽  
Positional Data

DOI: http://dx.doi.org/10.5007/1980-0037.2016v18n1p62 The aim of this study was to compare the collective tactical behavior between numerically balanced and unbalanced small-sided soccer games. Eighteen male soccer players (mean age 16.4 years) participated in the study. Polar coordinate analysis was performed using positional data obtained with a 15-Hz GPS device. Collective variables including length, width, centroid distance (average point between teammates), and length per width ratio (LPWratio) were collected. Data were analyzed using Friedman’s test. The results showed greater length and width values in 4vs.3 games, while a higher LPWratiowas observed in 3vs.3+2 games compared to the other configurations. In games with an additional player (4vs.3), ball circulation and the increase in effective game space were alternatives to overcome the more concentrated defensive systems near the goal. On the other hand, 3vs.3+2 games allowed more actions in the length axis and a fast reach of the opponent’s goal.

XX. Researches on the foraminifera.—Part III. On the genera peneroplis, operculina , and amphistegina

1859 ◽  
Vol 9 ◽  
pp. 334-337
Keyword(s):  
Detailed Comparison ◽  
The Body ◽  
The Other ◽  
Considerable Degree ◽  
Composite Body ◽  
Calcareous Deposit ◽  
General Plan ◽  
Partition Walls ◽  
Adjacent Segments

In his preceding memoirs, the author has shown that two very dissimilar types of structure present themselves among Foraminifera, one characterized by its simplicity, the other by its complexity. In the former, of which Orbitolites, Orbiculina and Alveolina are typical examples, the calcareous skeleton does not present any definite indications of organization, but seems to have been formed by the simple calcification of a portion of the homogeneous sarcode-body of the animal; that sarcode-body is but very imperfectly divided into segments, the communications between the cavities occupied by these segments being very free and irregular; the form of the segments themselves, and the mode of their connexion, are alike inconstant; and even the plan of growth, on which the character of the organism as a whole depends, though preserving a general uniformity, is by no means invariably maintained. In the latter, to which Cycloclypeus and Heterostegina belong, the calcareous skeleton is found to present a very definite and elaborate organization. The several segments of the body are so completely separated from each other, that they remain connected only by delicate threads of sarcode. Each segment thus isolated has its own proper calcareous envelope, which seems to be moulded (as it were) upon it; and this envelope or shell is perforated with minute parallel tubuli closely resembling those of dentine, except in the absence of bifurcation; the partition-walls between adjacent segments are consequently double, and are strengthened by an intermediate calcareous deposit, which is traversed by a system of inosculating passages that seems properly to belong to it. The form of the segments, their mode of communication, and consequently the general plan of growth, have a very considerable degree of constancy; and altogether the tendency is strongly manifested in this type to the greater individualization of the parts of the composite body, which in the preceding must be looked upon rather as constituting one aggregate whole. In the present memoir this contrast is fully carried out by a detailed comparison of two characteristic examples from these types respectively, each of them having its own features of peculiar interest.

scholarly journals REMARKS ON THE VALUE OF THE HIGGS MASS FROM THE PRESENT LEP DATA

1995 ◽  
Vol 10 (10) ◽  
pp. 845-852 ◽  
Author(s):  
M. CONSOLI ◽  
Z. HIOKI
Keyword(s):  
Standard Model ◽  
Higgs Mass ◽  
Detailed Comparison ◽  
The Other ◽  
Firm Conclusion ◽  
Other Hand ◽  
Model Predictions ◽  
The One

We perform a detailed comparison of the present LEP data with the one-loop standard model predictions. It is pointed out that for mt = 174 GeV the "bulk" of the data prefers a rather large value of the Higgs mass in the range of 500–1000 GeV, in agreement with the indications from the W mass. On the other hand, to accommodate a light Higgs it is crucial to include the more problematic data for the τ FB asymmetry. We discuss further improvements on the data which are required to obtain a firm conclusion.

Estimating amplitude ratios in boundary layer stability theory: a comparison between two approaches

2001 ◽  
Vol 439 ◽  
pp. 403-412 ◽  
Author(s):  
RAMA GOVINDARAJAN ◽  
R. NARASIMHA
Keyword(s):  
Boundary Layer ◽  
Reynolds Number ◽  
Small Difference ◽  
Detailed Comparison ◽  
The Other ◽  
Boundary Layer Stability ◽  
Mean Flow ◽  
Amplitude Ratios ◽  
The Stability ◽  
Local Reynolds Number

We first demonstrate that, if the contributions of higher-order mean flow are ignored, the parabolized stability equations (Bertolotti et al. 1992) and the ‘full’ non-parallel equation of Govindarajan & Narasimha (1995, hereafter GN95) are both equivalent to order R−1 in the local Reynolds number R to Gaster's (1974) equation for the stability of spatially developing boundary layers. It is therefore of some concern that a detailed comparison between Gaster (1974) and GN95 reveals a small difference in the computed amplitude ratios. Although this difference is not significant in practical terms in Blasius flow, it is traced here to the approximation, in Gaster's method, of neglecting the change in eigenfunction shape due to flow non-parallelism. This approximation is not justified in the critical and the wall layers, where the neglected term is respectively O(R−2/3) and O(R−1) compared to the largest term. The excellent agreement of GN95 with exact numerical simulations, on the other hand, suggests that the effect of change in eigenfunction is accurately taken into account in that paper.

Can there be a Finite Interpretation of the Kantian Sublime?

Kant Yearbook ◽  
2019 ◽  
Vol 11 (1) ◽  
pp. 17-40
Author(s):  
Sacha Golob
Keyword(s):  
Detailed Comparison ◽  
The Other ◽  
Costs And Benefits ◽  
The Sublime ◽  
Other Hand ◽  
The One ◽  
Resultant Theory

Abstract Kant’s account of the sublime makes frequent appeals to infinity, appeals which have been extensively criticised by commentators such as Budd and Crowther. This paper examines the costs and benefits of reconstructing the account in finitist terms. On the one hand, drawing ona detailed comparison of the first and third Critiques, I argue that the underlying logic of Kant’s position is essentially finitist. I defend the approach against longstanding objections, as well as addressing recent infinitist work by Moore and Smith. On the other hand, however, I argue that finitism faces distinctive problems of its own: whilst the resultant theory is a coherent and interesting one, it is unclear in what sense it remains an analysis of the sublime. I illustrate the worry by juxtaposing the finitist reading with analytical cubism.

scholarly journals COMPARATIVE STUDY OF VARIATIONAL CHAOS INDICATORS AND ODEs' NUMERICAL INTEGRATORS

2012 ◽  
Vol 22 (10) ◽  
pp. 1230033 ◽  
Author(s):  
L. A. DARRIBA ◽  
N. P. MAFFIONE ◽  
P. M. CINCOTTA ◽  
C. M. GIORDANO
Keyword(s):  
Numerical Technique ◽  
Equations Of Motion ◽  
General System ◽  
Detailed Comparison ◽  
Dynamical Problem ◽  
Point Of View ◽  
The Other ◽  
Numerical Integrators ◽  
Fast Lyapunov Indicator ◽  
The Times

The reader can find in the literature a lot of different techniques to study the dynamics of a given system and also, many suitable numerical integrators to compute them. Notwithstanding the recent work of [Maffione et al., 2011b] for mappings, a detailed comparison among the widespread indicators of chaos in a general system is still lacking. Such a comparison could lead to select the most efficient algorithms given a certain dynamical problem. Furthermore, in order to choose the appropriate numerical integrators to compute them, more comparative studies among numerical integrators are also needed. This work deals with both problems. We first extend the work of [Maffione et al., 2011b] for mappings to the 2D [Hénon & Heiles, 1964] potential, and compare several variational indicators of chaos: the Lyapunov Indicator (LI); the Mean Exponential Growth Factor of Nearby Orbits (MEGNO); the Smaller Alignment Index (SALI) and its generalized version, the Generalized Alignment Index (GALI); the Fast Lyapunov Indicator (FLI) and its variant, the Orthogonal Fast Lyapunov Indicator (OFLI); the Spectral Distance (D) and the Dynamical Spectra of Stretching Numbers (SSNs). We also include in the record the Relative Lyapunov Indicator (RLI), which is not a variational indicator as the others. Then, we test a numerical technique to integrate Ordinary Differential Equations (ODEs) based on the Taylor method implemented by [Jorba & Zou, 2005] (called taylor), and we compare its performance with other two well-known efficient integrators: the [Prince & Dormand, 1981] implementation of a Runge–Kutta of order 7–8 (DOPRI8) and a Bulirsch–Stöer implementation. These tests are run under two very different systems from the complexity of their equations point of view: a triaxial galactic potential model and a perturbed 3D quartic oscillator. We first show that a combination of the FLI/OFLI, the MEGNO and the GALI 2N succeeds in describing in detail most of the dynamical characteristics of a general Hamiltonian system. In the second part, we show that the precision of taylor is better than that of the other integrators tested, but it is not well suited to integrate systems of equations which include the variational ones, like in the computing of almost all the preceeding indicators of chaos. The result which induces us to draw this conclusion is that the computing times spent by taylor are far greater than the times consumed by the DOPRI8 and the Bulirsch–Stöer integrators in such cases. On the other hand, the package is very efficient when we only need to integrate the equations of motion (both in precision and speed), for instance to study the chaotic diffusion. We also notice that taylor attains a greater precision on the coordinates than either the DOPRI8 or the Bulirsch–Stöer.

Structure of [(CH3)2NH2]2CoCl4 at elevated temperatures

1999 ◽  
Vol 55 (5) ◽  
pp. 752-757 ◽  
Author(s):  
Amir H. Mahmoudkhani ◽  
Vratislav Langer
Keyword(s):  
Crystal Structure ◽  
Hydrogen Bonding ◽  
Phase Transitions ◽  
Physical Properties ◽  
Electric Conductivity ◽  
Title Compound ◽  
Structural Changes ◽  
Elevated Temperatures ◽  
The Other ◽  
Cell Parameters

The crystal structure of the title compound, dimethylammonium tetrachlorocobaltate(II), has been determined at four temperatures between 297 and 366 K, in order to investigate possible phase transitions at 313 and 353 K [Kapustianik, Polovinko & Kaluza et al. (1996). Phys. Status Solidi A, 153, 117–122]. We found that there is no significant change either in the hydrogen-bonding network or in the cell parameters, apart from a linear dilatation with temperature. This study reveals that the anomalous variation in electric conductivity and some of the other physical properties of the compound cannot be explained by structural changes.

An in situ study of the phase transitions among CaCO3 high-pressure polymorphs

2018 ◽  
Vol 83 (02) ◽  
pp. 191-197 ◽  
Author(s):  
Xueyin Yuan ◽  
Chao Gao ◽  
Jing Gao
Keyword(s):  
Phase Transitions ◽  
Intermediate Phase ◽  
The Other ◽  
Three Samples ◽  
Short Period ◽  
Two Samples ◽  
Wide Pressure Range ◽  
Diamond Anvil ◽  
Wide Pressure

AbstractThe phase transitions involving calcite (CaCO3-I), CaCO3-II, CaCO3-III and CaCO3-IIIb were investigated using a diamond anvil cell and micro-Raman spectroscopy. Based on the results obtained from in situ observations and Raman measurements made with six natural calcite crystals, the phase transition from calcite to CaCO3-II took place between 1.56 and 1.67 GPa under ambient temperature. Under a precise pressure of 1.97 ± 0.03 GPa, three CaCO3 samples were observed to transform from CaCO3-II directly to CaCO3-III, while in the other three samples both CaCO3-III and CaCO3-IIIb crystal structures were detected. Transformation from CaCO3-IIIb to CaCO3-III was completed in a short period in one sample, whereas in the other two samples coexistence of CaCO3-III and CaCO3-IIIb was observed over a wide pressure range from 1.97 to 3.38 GPa, with sluggish transformation from CaCO3-IIIb to CaCO3-III being observed after the samples were preserved under 3.38 GPa for 72 h. Hence, it can be concluded that CaCO3-IIIb is a metastable intermediate phase occurring during the reconstructive transformation from CaCO3-II to CaCO3-III. Splitting of the C–O in-plane bending (ν4) and symmetric stretching (ν1) vibrations and appearance of new lattice vibrations in the Raman spectra of CaCO3-III and CaCO3-IIIb suggest a lowering in crystal symmetry during the transformation from CaCO3-II through CaCO3-IIIb to CaCO3-III, which is in good agreement with the observed sequence of phase symmetries.

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