Determination of the critical parameter with system size in a 2D classical XY-model

2006 ◽  
Vol 356 (6) ◽  
pp. 393-396 ◽  
Author(s):  
Smita Ota ◽  
Snehadri Bihari Ota
Keyword(s):  
Critical Parameter ◽  
System Size ◽  
Xy Model

scholarly journals PTPS Candidate Exoplanet Host Star Radii Determination with CHARA Array

2011 ◽  
Vol 7 (S282) ◽  
pp. 203-204
Author(s):  
Paweł Zieliński ◽  
Martin Vaňko ◽  
Ellyn Baines ◽  
Andrzej Niedzielski ◽  
Aleksander Wolszczan
Keyword(s):  
Effective Temperature ◽  
Critical Parameter ◽  
Spectroscopic Analysis ◽  
Evolutionary Model ◽  
Stellar Mass ◽  
Surface Temperatures ◽  
Penn State ◽  
Chara Array ◽  
Model Dependency

AbstractWe propose to measure the radii of the Penn State - Toruń Planet Search (PTPS) exoplanet host star candidates using the CHARA Array. Stellar radii estimated from spectroscopic analysis are usually inaccurate due to indirect nature of the method and strong evolutionary model dependency. Also, the so-called degeneracy of stellar evolutionary tracks due to convergence of many tracks in the giant branch decreases the precision of such estimates. However, the radius of a star is a critical parameter for the calculation of stellar luminosity and mass, which are often not well known especially for giants. With well determined effective temperature (from spectroscopy) and radius, the luminosity may be calculated precisely. In turn also stellar mass may be estimated much more precisely. Therefore, direct radii measurements increase precision in the determination of planetary candidates masses and the surface temperatures of the planets.

DETERMINATION OF CRISIS PARAMETER VALUES BY DIRECT OBSERVATION OF MANIFOLD TANGENCIES

1992 ◽  
Vol 02 (02) ◽  
pp. 383-396 ◽  
Author(s):  
JOHN C. SOMMERER ◽  
CELSO GREBOGI
Keyword(s):  
Periodic Point ◽  
Chaotic System ◽  
Direct Observation ◽  
Unstable Manifold ◽  
Stable Manifold ◽  
Critical Parameter ◽  
Scaling Relation ◽  
Chaotic Transients ◽  
Parameter Values

We discuss an algorithm to find the parameter value at which a nonlinear, dissipative, chaotic system undergoes crisis. The algorithm is based on the observation that, at crisis, the unstable manifold of an unstable periodic point becomes tangent to the stable manifold of the same or another, related unstable periodic point. This geometric algorithm uses much less computation (or data) than estimating the critical parameter value by using the scaling relation for chaotic transients, τ~(p−pc)−γ. We demonstrate the algorithm in both numerical and experimental contexts.

scholarly journals SHELF LIFE OF NORI FROM Gracilaria sp. WITH ALUMUNIUM FOIL PACKAGING BASED ON THE ACCELERATED SHELF LIFE TEST METHOD

2021 ◽  
Vol 2 (1) ◽  
pp. 1-10
Author(s):  
Evi Liviawaty ◽  
Sapinatun Namira ◽  
Subiyanto Subiyanto ◽  
Eddy Afrianto
Keyword(s):  
Shelf Life ◽  
Critical Parameter ◽  
Storage Temperature ◽  
Arrhenius Plot ◽  
Aluminum Foil ◽  
Test Method ◽  
Life Test ◽  
Arrhenius Model ◽  
Quality Degradation

This research was conducted at the Laboratory of Fisheries Products Processing, Faculty of Fisheries and Marine Sciences, Padjadjaran University, Jatinangor. The purpose of this research is to determine the shelf life of Nori from Gracilaria sp. with the Accelerated Shelf Life Test (ASLT) method Arrhenius Model using Aluminum Foil packaging. Aluminum foil packaging is a package composed of hermetic, flexible, and opaque metal so that it has high protection properties against water vapor, light, grease and gas. The determination of the shelf life of the ASLT method is carried out using parameters of environmental conditions that can accelerate the process of product quality degradation, namely by storing the product at several temperatures above normal storage temperature. The observations used in determining the shelf life of Gracilaria sp. using a sensory test and a water content test with storage for 35 days, at a temperature of 25oC and 35oC. The result of the Arrhenius model calculation, the appearance parameter is selected as the critical parameter because it has the lowest Activation Energy (Ea) in determining the shelf life of Gracilaria sp. which is packaged using PE plastic. The results show that the parameters used to determine the shelf life of the product are the taste parameters based on the order 1 reaction with the Arrhenius Plot Ln K = 0.026 – 1318.4 (1 / T) and Ea of 2619.66 Kj/mol. The shelf life of Nori Gracilaria sp. if stored at 25oC temperature is 89 hari 7 jam.

DETERMINATION OF AUTOMATED STORAGE/RETRIEVAL SYSTEM SIZE

1992 ◽  
Vol 19 (4) ◽  
pp. 269-286 ◽  
Author(s):  
CHANG SUP SUNG ◽  
YONG HO HAN
Keyword(s):  
Retrieval System ◽  
System Size ◽  
Automated Storage

scholarly journals Finite-size corrections in critical symmetry-resolved entanglement

2021 ◽  
Vol 10 (3) ◽  
Author(s):  
Benoit Estienne ◽  
Yacine Ikhlef ◽  
Alexi Morin-Duchesne
Keyword(s):  
Symmetry Group ◽  
Crucial Role ◽  
Entanglement Entropy ◽  
Scaling Limit ◽  
Finite Size ◽  
Discrete Symmetry ◽  
System Size ◽  
Quantum Systems ◽  
Finite Size Corrections

In the presence of a conserved quantity, symmetry-resolved entanglement entropies are a refinement of the usual notion of entanglement entropy of a subsystem. For critical 1d quantum systems, it was recently shown in various contexts that these quantities generally obey entropy equipartition in the scaling limit, i.e. they become independent of the symmetry sector. In this paper, we examine the finite-size corrections to the entropy equipartition phenomenon, and show that the nature of the symmetry group plays a crucial role. In the case of a discrete symmetry group, the corrections decay algebraically with system size, with exponents related to the operators' scaling dimensions. In contrast, in the case of a U(1) symmetry group, the corrections only decay logarithmically with system size, with model-dependent prefactors. We show that the determination of these prefactors boils down to the computation of twisted overlaps.

Computer Simulation of Chiral Liquid Crystal Phases IX. Chiral Induction in Guest-host Systems - Calculation of the Helical Twisting Power

1999 ◽  
Vol 54 (12) ◽  
pp. 747-754 ◽  
Author(s):  
Reiner Memmer ◽  
Folkert Janssen
Keyword(s):  
Liquid Crystalline ◽  
Dopant Concentration ◽  
System Size ◽  
Chiral Molecules ◽  
Cholesteric Phase ◽  
Chiral Induction ◽  
Chiral Liquid Crystal ◽  
Liquid Crystalline Phases ◽  
Helical Twisting Power

Abstract The chiral induction in liquid crystalline phases was studied by Monte Carlo simulation of the chiral Lebwohl-Lasher model. Binary guest-host systems composed of achiral and chiral molecules as well as of different chiral molecules were investigated in dependence on the composition. A cholesteric phase was induced by dissolving a small fraction of chiral molecules in a nematic phase. For dilute solutions the equilibrium pitch was found to be a linear function of the chiral dopant concentration. Independent of system size effects the application of self-determined boundary conditions enabled the determination of the symmetry adapted quantities for the chiral induction, the helical twisting power (HTP) and the achiral helical twisting power (AHTP). Additionally, a different orientational behaviour of enantiomeric dopants in the chiral surroundings of a cholesteric host phase has been determined.

Finite Size Scaling of Metastability in First Order Transitions

1998 ◽  
Vol 12 (20) ◽  
pp. 2063-2066 ◽  
Author(s):  
Smita Ota ◽  
S. B. Ota
Keyword(s):  
Monte Carlo ◽  
Potts Model ◽  
Linear Dimension ◽  
Finite Size ◽  
System Size ◽  
Xy Model ◽  
Finite Size Scaling ◽  
First Order ◽  
First Order Transition ◽  
Physical Quantities

Microcanonical Monte Carlo simulations have been carried out for the extended 2d XY-model and the 2d q=10 state Potts model undergoing first order transitions. It has been found that the temperature dependence of the physical quantities exhibit "S"-shaped nature at the first order transition. The excursion into the metastable branch is found to increase by reducing the system size. The metastability is found to scale with the linear dimension of the system.

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