Large Amplitude Thermal Fluctuations of Confined Semiflexible Biopolymer Filaments

2014 ◽  
Vol 81 (11) ◽  
Author(s):  
F. Jonsdottir ◽  
L. B. Freund
Keyword(s):  
Free Energy ◽  
Partition Function ◽  
Thermodynamic Parameters ◽  
Large Amplitude ◽  
Small Amplitude ◽  
Thermal Fluctuations ◽  
Single Filament ◽  
Amplitude Fluctuations ◽  
Active Interest

The phenomenon of thermal fluctuations of biopolymers has been of active interest for some time with a view toward understanding the effect of filament confinement, migration, and bonding. In this study, we focus our attention on planar fluctuations of a single filament between parallel confining surfaces. Filament slopes, with respect to the centerline of the channel, commonly exceed 0.1 in magnitude and therefore fall outside the range of small amplitude fluctuations. Consequently, large amplitudes are anticipated from the outset. Determination of the partition function leads to the quantitative dependence of free energy and other thermodynamic parameters on the degree of confinement.

scholarly journals A consideration of the correct calculation of thermodynamic parameters of adsorption

2007 ◽  
Vol 72 (12) ◽  
pp. 1363-1367 ◽  
Author(s):  
Slobodan Milonjic
Keyword(s):  
Free Energy ◽  
Thermodynamic Parameters ◽  
Freundlich Isotherm ◽  
Free Energy Of Adsorption ◽  
Correct Calculation ◽  
Adsorption Processes ◽  
Isotherm Equations ◽  
Henry Constants

The Langmuir and Freundlich isotherm equations have been widely used for interpreting various adsorption processes. There are, however, many serious mistakes in the literature in determination or calculation of thermodynamic parameters, especially in the determination of the change in the free energy of adsorption using Langmuir, Freundlich and Henry constants. Many authors used these constants for the determination of ?G expressed instead of dimensionless in some concentration units (for example: l mol-1, l g-1, ml mg-1, etc.).

scholarly journals AVALIAÇÃO DOS PARÂMETROS TERMODINÂMICOS E CINÉTICOS DE CENOURAS SUBMETIDAS A SECAGEM CONVECTIVA

e-xacta ◽  
2017 ◽  
Vol 10 (2) ◽  
pp. 73 ◽  
Author(s):  
Heloísa Righi Pessoa da Silva ◽  
Roberta Pazinato Cuco ◽  
Barbara Daniele Almeida Porciuncula ◽  
Camila Da Silva
Keyword(s):  
Experimental Data ◽  
Free Energy ◽  
Mathematical Models ◽  
Thermodynamic Parameters ◽  
Kinetic Data ◽  
Temperature Characteristic ◽  
Different Temperatures ◽  
Endothermic Process ◽  
Degree Of Order

<p>Este estudo tem como objetivo a obtenção de dados cinéticos da secagem de cenouras, bem como o ajuste de modelos matemáticos aos dados experimentais e determinação dos parâmetros termodinâmicos do processo. Buscando este propósito, experimentos foram conduzidos em estufa com renovação e circulação de ar, nas temperaturas de 50, 60, 70 e 80 °C. Os modelos matemáticos foram ajustados aos dados das cinéticas de secagem à diferentes temperaturas, e os modelos de Page e de Midilli apresentaram o maior coeficiente de correlação (R<sup>2</sup>) e menor valor de RMSE. Da análise termodinâmica verificou-se que a entalpia e a energia livre de Gibbs diminuíram com o aumento da temperatura, característico de um processo endotérmico. A entropia apresentou valores negativos e diminuiu com a diminuição na temperatura de secagem, isto indica que há um aumento no grau de ordem do sistema, considerado desfavorável entropicamente.</p><p> </p><p>ABSTRACT</p><p>This study aims to obtain kinetic data of carrot drying, as well as the adjustment of mathematical models to the experimental data and determination of the thermodynamic parameters of the process. For this purpose, experiments were conducted in an oven with renovation and circulation of air, at temperatures of 50, 60, 70 and 80 °C. The mathematical models were adjusted to the drying kinetics data at different temperatures, and the Page and de Midilli models presented the highest correlation coefficient (R<sup>2</sup>) and lowest RMSE values. From the thermodynamic analysis it was verified that the enthalpy and the free energy of Gibbs decreased with the increase of the temperature, characteristic of an endothermic process. The entropy presented negative values and decreased with the decrease in the drying temperature, this indicates that there is an increase in the degree of order of the system, considered as entropically unfavorable.</p>

On nearly-commensurable periods in the restricted problem of three bodies, with calculations of the long-period variations in the interior 2:1 case

1966 ◽  
Vol 25 ◽  
pp. 197-222 ◽  
Author(s):  
P. J. Message
Keyword(s):  
Periodic Solution ◽  
Periodic Solutions ◽  
Large Amplitude ◽  
Restricted Problem ◽  
Small Amplitude ◽  
Minor Planets ◽  
Long Period ◽  
Numerical Integrations ◽  
Period Variations ◽  
The Mean

An analytical discussion of that case of motion in the restricted problem, in which the mean motions of the infinitesimal, and smaller-massed, bodies about the larger one are nearly in the ratio of two small integers displays the existence of a series of periodic solutions which, for commensurabilities of the typep+ 1:p, includes solutions of Poincaré'sdeuxième sortewhen the commensurability is very close, and of thepremière sortewhen it is less close. A linear treatment of the long-period variations of the elements, valid for motions in which the elements remain close to a particular periodic solution of this type, shows the continuity of near-commensurable motion with other motion, and some of the properties of long-period librations of small amplitude.To extend the investigation to other types of motion near commensurability, numerical integrations of the equations for the long-period variations of the elements were carried out for the 2:1 interior case (of which the planet 108 “Hecuba” is an example) to survey those motions in which the eccentricity takes values less than 0·1. An investigation of the effect of the large amplitude perturbations near commensurability on a distribution of minor planets, which is originally uniform over mean motion, shows a “draining off” effect from the vicinity of exact commensurability of a magnitude large enough to account for the observed gap in the distribution at the 2:1 commensurability.

Models of Thermodynamic Properties of Prominences

1979 ◽  
Vol 44 ◽  
pp. 349-355
Author(s):  
R.W. Milkey
Keyword(s):  
Thermodynamic Properties ◽  
Mass Transport ◽  
Emission Spectrum ◽  
Thermodynamic Parameters ◽  
Working Group ◽  
Physical Processes ◽  
Theoretical Concepts ◽  
Group 3 ◽  
Observational Techniques

The focus of discussion in Working Group 3 was on the Thermodynamic Properties as determined spectroscopically, including the observational techniques and the theoretical modeling of physical processes responsible for the emission spectrum. Recent advances in observational techniques and theoretical concepts make this discussion particularly timely. It is wise to remember that the determination of thermodynamic parameters is not an end in itself and that these are interesting chiefly for what they can tell us about the energetics and mass transport in prominences.

Information and estimation in image processing

1987 ◽  
Vol 45 ◽  
pp. 14-17
Author(s):  
B. Roy Frieden
Keyword(s):  
Image Processing ◽  
Optical System ◽  
Large Amplitude ◽  
Communication Theory ◽  
Image Data ◽  
Direct Approach ◽  
Ill Posed

Despite the skill and determination of electro-optical system designers, the images acquired using their best designs often suffer from blur and noise. The aim of an “image enhancer” such as myself is to improve these poor images, usually by digital means, such that they better resemble the true, “optical object,” input to the system. This problem is notoriously “ill-posed,” i.e. any direct approach at inversion of the image data suffers strongly from the presence of even a small amount of noise in the data. In fact, the fluctuations engendered in neighboring output values tend to be strongly negative-correlated, so that the output spatially oscillates up and down, with large amplitude, about the true object. What can be done about this situation? As we shall see, various concepts taken from statistical communication theory have proven to be of real use in attacking this problem. We offer below a brief summary of these concepts.

A canonical ensemble derivation of the McMillan-Mayer solution theory

1983 ◽  
Vol 48 (10) ◽  
pp. 2888-2892 ◽  
Author(s):  
Vilém Kodýtek
Keyword(s):  
Free Energy ◽  
Partition Function ◽  
Energy Function ◽  
Special Function ◽  
Helmholtz Free Energy ◽  
Canonical Ensemble ◽  
Free Energy Function ◽  
Solution Theory ◽  
Pure Solvent ◽  
The Common

A special free energy function is defined for a solution in the osmotic equilibrium with pure solvent. The partition function of the solution is derived at the McMillan-Mayer level and it is related to this special function in the same manner as the common partition function of the system to its Helmholtz free energy.

Determination of the Accurate Values of the Rate Constant and Thermodynamic Parameters for the Rotation About the C(sp2)-C(aryl) Bond; Adamantan-1-yl 3-Bromo-2,4,6-trimethylphenyl Ketone

1998 ◽  
Vol 63 (7) ◽  
pp. 955-966
Author(s):  
Eva Přibylová ◽  
Miroslav Holík
Keyword(s):  
Thermodynamic Parameters ◽  
Shape Analysis ◽  
Rate Constants ◽  
Line Shape ◽  
Microsoft Excel ◽  
Hindered Rotation ◽  
H Nmr ◽  
Line Shape Analysis ◽  
Coalescence Temperature

Four programs for the 1H NMR line shape analysis: two commercial - Winkubo (Bruker) and DNMR5 (QCPE 165) and two written in our laboratory - Newton (in Microsoft Excel) and Simtex (in Matlab) have been tested in order to get highly accurate rate constants of the hindered rotation about a single bond. For this purpose four testing criteria were used, two of them were also developed by us. As supplementary determinations the rate constants obtained for the coalescence temperature and for the thermal racemization of chromatographically separated enantiomers were used which fitted well the temperature dependence of the rate constants determined by the line shape analysis. As a test compound adamantan-1-yl 3-bromo-2,4,6-trimethylphenyl ketone was prepared and studied. It was shown that supermodified simplex method used in our algorithm (Simtex), though time consuming, gives the most accurate values of the rate constants and consequently the calculated thermodynamic parameters Ea, ∆H≠, and ∆S≠ lay in relatively narrow confidence intervals.

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