scholarly journals Notes on the values of volume entropy of graphs

2020 ◽  
Vol 40 (9) ◽  
pp. 5117-5129
Author(s):  
Wooyeon Kim ◽  
◽  
Seonhee Lim ◽  
Keyword(s):  
Volume Entropy

A Sampling Method for Volume Entropy Analysis

2011 ◽  
Vol 5 (12) ◽  
pp. 266-271
Author(s):  
Wang Juan ◽  
Peng Jing
Keyword(s):  
Sampling Method ◽  
Entropy Analysis ◽  
Volume Entropy

scholarly journals Diastatic entropy and rigidity of complex hyperbolic manifolds

2016 ◽  
Vol 3 (1) ◽  
Author(s):  
Roberto Mossa
Keyword(s):  
Lower Bound ◽  
Hyperbolic Manifold ◽  
Hyperbolic Manifolds ◽  
Hyperbolic Metric ◽  
Continuous Map ◽  
The Hyperbolic Metric ◽  
Geometric Rigidity ◽  
Volume Entropy ◽  
Complex Hyperbolic Manifold ◽  
Real Analytic

AbstractLet f : Y → X be a continuous map between a compact real analytic Kähler manifold (Y, g) and a compact complex hyperbolic manifold (X, g0). In this paper we give a lower bound of the diastatic entropy of (Y, g) in terms of the diastatic entropy of (X, g0) and the degree of f . When the lower bound is attained we get geometric rigidity theorems for the diastatic entropy analogous to the ones obtained by G. Besson, G. Courtois and S. Gallot [2] for the volume entropy. As a corollary,when X = Y,we get that the minimal diastatic entropy is achieved if and only if g is isometric to the hyperbolic metric g0.

Structural, mechanical and thermodynamic properties study on Mg–Y alloys from first-principles calculations

2020 ◽  
Vol 34 (25) ◽  
pp. 2050220
Author(s):  
Yingying Chen ◽  
Xilong Dou ◽  
Wenjie Zhu ◽  
Gang Jiang ◽  
Aijie Mao
Keyword(s):  
Thermodynamic Properties ◽  
First Principles ◽  
Mechanical Stability ◽  
Elastic Anisotropy ◽  
Crystal Structure Analysis ◽  
First Principles Calculations ◽  
Phonon Spectra ◽  
Volume Entropy ◽  
Ductile Behavior ◽  
Searching Method

The structures with different compositions of the binary Mg–Y alloys have been predicted by first-principles calculations combined with an unbiased Crystal structure Analysis by Particle Swarm Optimization (CALYPSO) structure searching method. The two already known stoichiometries alloys of Mg1Y1 with Pm-[Formula: see text] symmetry and Mg3Y1 with Fm-[Formula: see text] are confirmed, and a new stoichiometry alloy of Mg1Y3 with [Formula: see text] symmetry is proposed. The dynamical and mechanical stabilities for the three alloys at different pressures are investigated by phonon spectra and mechanical stability criteria, respectively. Subsequently, the bulk modulus, shear modulus, Young’s modulus, the brittleness/ductile behavior, the elastic anisotropy as well as Vickers hardness for the three alloys at 0 GPa are discussed in detail. The results show that the Mg1Y1, Mg3Y1 and Mg1Y3 alloys improve the hardness and stiffness compared with pure Mg, and Mg1Y3 alloy is of the best ductility in the three alloys. Meanwhile, the three alloys exhibit anisotropic. Moreover, the thermodynamic properties, such as Debye temperature, heat capacity at constant volume, entropy and Helmholtz free energy for the three stable alloys, are predicted and discussed.

Comparative Thermodynamic Analysis of the Behavior of C60 and C28 Fullerenes when Heated in an Inert Medium

2020 ◽  
Vol 854 ◽  
pp. 151-157 ◽  
Author(s):  
Nikolay M. Barbin ◽  
Vasiliy P. Dan ◽  
Dmitriy I. Terentyev ◽  
Sergey G. Alexeev
Keyword(s):  
Gas Phase ◽  
Structural Changes ◽  
Molar Mass ◽  
Total Enthalpy ◽  
Thermophysical Parameters ◽  
Temperature Ranges ◽  
Volume Entropy ◽  
Energy Equilibrium ◽  
Scale Experiment ◽  
Increasing Temperature

The structural changes of condensed fullerenes C60 and C28 at a temperature increase from 200 K to 2000 K have been studied by computational methods using the TERRA software for carbon-argon systems. The processes of destruction of fullerenes C60 and C28 molecules are presented, and the temperature ranges of their thermal stability are determined: up to 1000 K and up to 400 K, respectively. The following thermophysical parameters of the C60-Ar and C28-Ar systems are considered: specific volume, entropy, total enthalpy, total internal energy, equilibrium specific heat, molar mass of the gas phase, gas constant, and mass fraction of the condensed phase. A comparative analysis of their changes with increasing temperature is carried out. The results obtained in the course of thermodynamic modeling are similar to the results of a full-scale experiment conducted under similar conditions. In the future, the obtained data can be used to determine the explosive and fire-hazardous properties of fullerenes as a dispersed solid.

Thermodynamics of the HSO4– Formation in Aqueous Solutions up to 473 K and 975 bar

1993 ◽  
Vol 48 (11) ◽  
pp. 1073-1080
Author(s):  
B. A. Bilal ◽  
E. Müller
Keyword(s):  
Aqueous Solutions ◽  
Equilibrium Constant ◽  
Formation Constant ◽  
Saturation Pressure ◽  
Partial Molal Volume ◽  
Molal Volume ◽  
Volume Entropy

Abstract The equilibrium constant, partial molal volume, entropy and enthalpy of the formation of HSO4- ion in aqueous solutions have been determined up to 473 K and 975 bar at the ionic strengths 1 = 0 as well as in NaCl solutions having I = 1, 0.5 and 0.1 mol kg-1 At 473 K, for instance, the thermodynamic formation constant K0 decreases by ≈ 0.75 log units from saturation pressure to 975 bar. The corresponding decrease of the apparent formation constant Q at I = 1 m is ≈ 0.6 log units. The increased dissociation at higher pressure leads to a decrease of the partial molal volume and entropy due to the resulting higher electrostriction in the system.

Fluctuations in aqueous methanol, ethanol, and propan-1-ol: amplitude and wavelength of fluctuation

1999 ◽  
Vol 77 (12) ◽  
pp. 2039-2045 ◽  
Author(s):  
Y Koga
Keyword(s):  
Isentropic Compressibility ◽  
Volume Effect ◽  
Mean Square ◽  
Aqueous Methanol ◽  
Mean Square Fluctuation ◽  
Volume Entropy ◽  
The Mean ◽  
Excess Partial Molar Enthalpy ◽  
Derivatives Of ◽  
Alcohol Alcohol

Density, heat capacity, and isentropic compressibility data for aqueous methanol, ethanol, and propan-1-ol by Benson's group were used to evaluate two kinds of fluctuations; mean-square fluctuation densities; and (mean-square) normalized fluctuations, respectively, in volume, entropy, and cross (entropy/volume) effect. The mean-square fluctuation densitiesprovide measures for the amplitude (intensity) of the fluctuation, while the normalized fluctuations contain information regarding the wavelength (extensity) of the fluctuation. Furthermore, their composition derivatives, the partial molar fluctuationsof alcohols were calculated. These quantities signify the effect of additional solute on the respective fluctuations. These data were interpreted in terms of mixing schemes learned earlier in this laboratory by using the data of excess partial molar enthalpy, entropy, and volume, and the respective alcohol-alcohol interaction functions, i.e., the composition derivatives of partial molar quantities. Key words: aqueous methanol, ethanol, and propan-1-ol;fluctuation density; normalized fluctuation; partial molar fluctuations of alcohol.

scholarly journals Volume entropy, weighted girths and stable balls on graphs

2007 ◽  
Vol 55 (4) ◽  
pp. 291-305 ◽  
Author(s):  
Florent Balacheff
Keyword(s):  
Volume Entropy ◽  
Entropy Weighted

PVT Measurements on 3-Cyanobenzyl 2,5-bis(4-n-octyloxybenzoyl- oxy)benzoate up to 250 MPa and 423 K

2000 ◽  
Vol 55 (9-10) ◽  
pp. 823-827
Author(s):  
A. Würflinger ◽  
M. Sandmann ◽  
W. Weissflog
Keyword(s):  
Liquid Crystals ◽  
Volume Changes ◽  
Clapeyron Equation ◽  
Enthalpy Changes ◽  
Volume Entropy ◽  
Pvt Measurements ◽  
Transition Entropy

Abstract P, Vm , T data have been measured for the nematic and isotropic phases of 3-cyanobenzyl 2,5-bis (4-n-octyloxybenzoyloxy)benzoate between 273 and 423 K and up to 250 MPa. The volume changes accompanying the crystal -nematic and nematic -isotropic transitions have been determined. The cor-responding enthalpy changes have been calculated using the Clausius-Clapeyron equation. The p, V m , T data enable also to estimate the volume entropy for the nematic-isotropic transition. It is found that the configurational part of the transition entropy amounts to 80%, this portion being distinctly larger than found in previous studies for conventional rod-like liquid crystals.

scholarly journals Gibbs volume entropy is incorrect

2015 ◽  
Vol 92 (2) ◽  
Author(s):  
Robert H. Swendsen ◽  
Jian-Sheng Wang
Keyword(s):  
Volume Entropy
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