On the pressure dependence of the thermodynamical scaling exponent γ

Soft Matter ◽  
2020 ◽  
Vol 16 (19) ◽  
pp. 4625-4631 ◽  
Author(s):  
R. Casalini ◽  
T. C. Ransom
Keyword(s):  
Pressure Dependence ◽  
Scaling Exponent ◽  
Scaling Parameter

In materials with a constant scaling parameter γS, the Isomorph γI is found to vary with pressure, demonstrating γS ≠ γI.

scholarly journals ASYMMETRIC ANOMALOUS DIFFUSION: AN EFFICIENT WAY TO DETECT MEMORY IN TIME SERIES

Fractals ◽  
2001 ◽  
Vol 09 (04) ◽  
pp. 439-449 ◽  
Author(s):  
PAOLO GRIGOLINI ◽  
LUIGI PALATELLA ◽  
GIACOMO RAFFAELLI
Keyword(s):  
Time Series ◽  
Diffusion Process ◽  
Rare Event ◽  
Real Data ◽  
Scaling Exponent ◽  
Constant Intensity ◽  
Scaling Parameter ◽  
Ballistic Motion ◽  
Maximum Value ◽  
Inverse Power Law

We study time series concerning rare events. The occurrence of a rare event is depicted as a jump of constant intensity always occurring in the same direction, thereby generating an asymmetric diffusion process. We consider the case where the waiting time distribution is an inverse power law with index μ. We focus our attention on μ<3, and we evaluate the scaling exponent δ of the time in the resulting diffusion process. We prove that δ gets its maximum value, δ=1, corresponding to the ballistic motion, at μ=2. We study the resulting diffusion process by means of joint use of the continuous time random walk and of the generalized central limit theorem (CLT), as well as adopting a numerical treatment. We show that rendering the diffusion process to be asymmetric yields the significant benefit of enhancing the value of the scaling parameter δ. Furthermore, this scaling parameter becomes sensitive to the power index μ in the whole region 1<μ<3. Finally, we show our method in action on real data concerning human heartbeat sequences.

SCALING BEHAVIOR FOR RESISTANCE TRANSITION IN Hg-1223 SUPERCONDUCTOR UNDER PRESSURE

2008 ◽  
Vol 22 (05) ◽  
pp. 539-546 ◽  
Author(s):  
S. L. LIU ◽  
H. M. SHAO ◽  
C. Y. HAN
Keyword(s):  
High Pressure ◽  
Critical Temperature ◽  
Temperature Dependence ◽  
Charge Distribution ◽  
Pressure Dependence ◽  
Scaling Behavior ◽  
Scaling Parameter ◽  
Charge Model ◽  
Sheet Charge ◽  
Relative Change

The effects of high pressure on the temperature dependence of the resistance transition of Hg -1223 superconductor are measured up to 7.8 GPa. At a pressure lower than 5.4 GPa, Tc increases from 130 K to a maximal value of 140 K with a rate of 1.85 K/GPa. At higher pressure, Tc begins to decrease. This pressure dependence of critical temperature can be explained with the sheet charge model, which introduces the inhomogeneous charge distribution in the inner and outer CuO 2 layer(s). The temperature dependence of the resistance under various pressure can be scaled onto a single curve with P=0ρ(T)=Pρ(aT), where the scaling parameter a is estimated to be smaller than 1. Further, the scaling parameter a reflects the relative change of the anisotropy factor γ.

PRESSURE DEPENDENCE OF THE SUPERFLUID DENSITY IN 3He-B

1978 ◽  
Vol 39 (C6) ◽  
pp. C6-37-C6-38 ◽  
Author(s):  
C. N. Archie ◽  
T. A. Alvesalo ◽  
J. E. Bethold ◽  
J. D. Reppy ◽  
R. C. Richardson
Keyword(s):  
Pressure Dependence ◽  
Superfluid Density

PRESSURE DEPENDENCE OF PHONON LINESHAPES OF SOLlD DEUTERIUM IN THE ORDERED STATE

1978 ◽  
Vol 39 (C6) ◽  
pp. C6-97-C6-98
Author(s):  
R. Jochemsen ◽  
V. V. Goldman ◽  
Isaac F. Silvera
Keyword(s):  
Pressure Dependence ◽  
Ordered State

GAS PHASE RAMAN SPECTRUM OF TCNQ AND PRESSURE DEPENDENCE OF THE MODES IN CRYSTALS OF TNCQ°

1981 ◽  
Vol 42 (C6) ◽  
pp. C6-323-C6-325
Author(s):  
C. Carlone ◽  
N. K. Hota ◽  
H. J. Stolz ◽  
M. Elbert ◽  
H. Kuzmany ◽  
...  
Keyword(s):  
Raman Spectrum ◽  
Gas Phase ◽  
Pressure Dependence

Computational and theoretical research of the injector block function

2020 ◽  
pp. 123-126
Author(s):  
В.В. Кожемякин ◽  
Р.А. Иванов ◽  
Е.С. Игнатьева
Keyword(s):  
Hydraulic Resistance ◽  
Cross Section ◽  
Flow Rate ◽  
Pressure Dependence ◽  
Theoretical Study ◽  
Water Jet ◽  
Theoretical Research ◽  
Sudden Expansion ◽  
Operating Modes ◽  
Coefficient Of Hydraulic Resistance

Работа посвящена расчетно-теоретическому исследованию работы блока инжекторов. Рассмотрен пароводяной струйный аппарат, который применяется в качестве средства циркуляции теплоносителя первого контура. Подвод дополнительного потока осуществляется на цилиндрическом участке с внезапным расширением сечения через перемычку. Для достижения поставленной цели разработана программа для ЭМВ, в которой смоделирована зависимость давления от нагрузки в контуре, а также проведено расчетно-теоретическое исследование влияние гидравлического сопротивления на расход перемычки. В данной работе рассмотрены только рабочие режимы, т.е. все инжекторы работают как насосы. В ходе работы было установлено, что при нагрузке в 30% увеличиваются коэффициенты инжекции пароводяного струйного аппарата, но характер работы перемычек не меняется. Так же было установлено, что расход через перемычку меняется не пропорционально коэффициенту гидравлического сопротивления перемычки. The paper is devoted to the computational and theoretical study of the injector block operation. A steam-water jet apparatus is considered, which is used as a means of circulating the primary circle coolant. The additional flow is supplied on the cylindrical section with a sudden expansion of the cross-section through the bridge. To achieve this goal, a computer program was developed that modeled the pressure dependence on the load in the circuit, and also a theoretical study of the influence of hydraulic resistance on the flow of the jumper was conducted. In this paper, only operating modes are considered, i.e. all the injectors function as pumps. In the process of the research, it was found that at a load of 30%, the injection coefficients of the steam-water jet apparatus increase, but the nature of the work of the jumpers does not change. It was also found out that the flow rate through the jumper does not change in proportion to the coefficient of hydraulic resistance of the jumper.

Predicting the Density-Scaling Exponent of a Glass-Forming Liquid from Prigogine-Defay Ratio Measurements

2011 ◽  
Author(s):  
Ditte Gundermann ◽  
Ulf R. Pedersen ◽  
Tina Hecksher ◽  
Nicholas P. Bailey ◽  
Bo Jakobsen ◽  
...  
Keyword(s):  
Scaling Exponent ◽  
Glass Forming

SCALING ANALYSIS OF THE A-PHASE DYNAMICS DURING SLEEP

Fractals ◽  
2020 ◽  
Vol 28 (02) ◽  
pp. 2050050
Author(s):  
V. E. ARCE-GUEVARA ◽  
M. O. MENDEZ ◽  
J. S. MURGUÍA ◽  
A. ALBA ◽  
H. GONZÁLEZ-AGUILAR ◽  
...  
Keyword(s):  
Binary Sequence ◽  
Fluctuation Analysis ◽  
Scaling Analysis ◽  
Scaling Exponent ◽  
Sleep State ◽  
Phase Dynamics ◽  
A Value ◽  
Sleep Condition ◽  
Detrended Fluctuation

In this work, the scaling behavior of the sleep process is evaluated by using detrended fluctuation analysis based on wavelets. The analysis is carried out from arrivals of short and recurrent cortical events called A-phases, which in turn build up the Cyclic Alternating Pattern phenomenon, and are classified in three types: A1, A2 and A3. In this study, 61 sleep recordings corresponding to healthy, nocturnal frontal lobe epilepsy patients and sleep-state misperception subjects, were analyzed. From the A-phase annotations, the onsets were extracted and a binary sequence with one second resolution was generated. An item in the sequence has a value of one if an A-phase onset occurs in the corresponding window, and a value of zero otherwise. In addition, we consider other different temporal resolutions from 2[Formula: see text]s to 256[Formula: see text]s. Furthermore, the same analysis was carried out for sequences obtained from the different types of A-phases and their combinations. The results of the numerical analysis showed a relationship between the time resolutions and the scaling exponents; specifically, for higher time resolutions a white noise behavior is observed, whereas for lower time resolutions a behavior towards to [Formula: see text]-noise is exhibited. Statistical differences among groups were observed by applying various wavelet functions from the Daubechies family and choosing the appropriate sequence of A-phase onsets. This scaling analysis allows the characterization of the free-scale dynamic of the sleep process that is specific for each sleep condition. The scaling exponent could be useful as a diagnosis parameter in clinics when sleep macrostructure does not offer enough information.

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