Wetting a superomniphobic porous system

Soft Matter ◽  
2019 ◽  
Vol 15 (42) ◽  
pp. 8621-8626 ◽  
Author(s):  
J. Cimadoro ◽  
L. Ribba ◽  
S. Goyanes ◽  
E. Cerda
Keyword(s):  
Critical Pressure ◽  
Porous System ◽  
Aperture Size ◽  
Singular Behavior ◽  
Small Aperture ◽  
First Order ◽  
System P

We study experimentally and theoretically the critical pressure needed to move a liquid through a network of pores and show that, for small aperture size, wetting and leaking are typical first-order transitions, with a singular behavior at the omniphobic/omniphilic limit.

The Second-Order Master Equation

2019 ◽  
pp. 128-158
Author(s):  
Pierre Cardaliaguet ◽  
François Delarue ◽  
Jean-Michel Lasry ◽  
Pierre-Louis Lions
Keyword(s):  
Master Equation ◽  
Mean Field ◽  
Second Order ◽  
Well Posedness ◽  
Mean Field Game ◽  
First Order ◽  
Common Noise ◽  
System P ◽  
The Mean

This chapter investigates the second-order master equation with common noise, which requires the well-posedness of the mean field game (MFG) system. It also defines and analyzes the solution of the master equation. The chapter explains the forward component of the MFG system that is recognized as the characteristics of the master equation. The regularity of the solution of the master equation is explored through the tangent process that solves the linearized MFG system. It also analyzes first-order differentiability and second-order differentiability in the direction of the measure on the same model as for the first-order derivatives. This chapter concludes with further description of the derivation of the master equation and well-posedness of the stochastic MFG system.

Logical Tools

2021 ◽  
pp. 14-52
Author(s):  
Cian Dorr ◽  
John Hawthorne ◽  
Juhani Yli-Vakkuri
Keyword(s):  
Modal Logic ◽  
Possible Worlds ◽  
Higher Order ◽  
Order Logic ◽  
First Order Logic ◽  
First Order ◽  
System P

This chapter presents the system of classical higher-order modal logic which will be employed throughout this book. Nothing more than a passing familiarity with classical first-order logic and standard systems of modal logic is presupposed. We offer some general remarks about the kind of commitment involved in endorsing this logic, and motivate some of its more non-standard features. We also discuss how talk about possible worlds can be represented within the system.

Two Species/Nonideal Solution Model for Amorphous/Amorphous Phase Transitions

1996 ◽  
Vol 455 ◽  
Author(s):  
Cornelius T. Moynihan
Keyword(s):  
Phase Transition ◽  
Phase Transitions ◽  
Critical Temperature ◽  
Amorphous Phase ◽  
Thermodynamic Model ◽  
Critical Pressure ◽  
Solution Model ◽  
Amorphous Phases ◽  
First Order ◽  
Temperature And Pressure

ABSTRACTA simple macroscopic thermodynamic model for first order transitions between two amorphous phases in a one component liquid is reviewed, augmented and evaluated. The model presumes the existence in the liquid of two species, whose concentrations are temperature and pressure dependent and which form a solution with large, positive deviations from ideality. Application of the model to recent data indicates that water can undergo an amorphous/amorphous phase transition below a critical temperature Tc of 217K and above a critical pressure Pc of 380 atm.

Diffraction feature of microlens array with a small aperture size

2008 ◽  
Author(s):  
Seungryong Park ◽  
Jinho Park ◽  
Hakyu Choi ◽  
Young-Je Yun ◽  
Kwangseon Choi ◽  
...  
Keyword(s):  
Microlens Array ◽  
Aperture Size ◽  
Small Aperture

scholarly journals Accurate electronics calibration for particle backscattering spectrometry

2015 ◽  
Vol 7 (7) ◽  
pp. 3096-3104 ◽  
Author(s):  
Julien L. Colaux ◽  
Chris Jeynes
Keyword(s):  
Rutherford Backscattering Spectrometry ◽  
Depth Profiling ◽  
Pulse Height ◽  
Absolute Accuracy ◽  
Analytical Technique ◽  
First Order ◽  
System P ◽  
Particle Backscattering ◽  
Non Destructive ◽  
Elemental Depth

Rutherford backscattering spectrometry (RBS) is a non-destructive thin film analytical technique of the highest absolute accuracy which, when used for elemental depth profiling, depends at first order on the gain of the pulse-height spectrometry system.

scholarly journals Stability Analysis of Multispan Pipeline Embedded in Temperature-Dependent Matrix

2021 ◽  
Vol 2021 ◽  
pp. 1-12
Author(s):  
Nan Wu ◽  
Yongshou Liu ◽  
Guojun Tong ◽  
Jiayin Dai
Keyword(s):  
Natural Frequency ◽  
Critical Velocity ◽  
Critical Pressure ◽  
Dynamic Stiffness ◽  
Second Order ◽  
Temperature Dependent ◽  
Temperature Changes ◽  
First Order ◽  
The Stability ◽  
Increasing Temperature

In this paper, dynamic stiffness method is used to study the stability of multispan pipelines in temperature-dependent matrix. The effects of temperature changes and different span combinations on the natural frequency, critical velocity, and critical pressure of pipelines are discussed. The main conclusions are obtained and shown as follows. The increase of temperature will lead to the decrease of the first three order natural frequencies. The first two order critical velocities and critical pressure of the system will also decrease with increasing temperature. The change of span combination has no influence on the first-order critical velocity and first-order critical pressure of the system, but it has influence on the second order. The influence of the change of span combination on the first-order natural frequency is regular, but that on the second-order and third-order is not. The increase of the velocity will change the instability form of systems with different span combinations, while the change of the pressure inside the tube will not change the instability form of the system.

scholarly journals Stability Analysis of an Inflatable Vacuum Chamber

2008 ◽  
Vol 75 (4) ◽  
Author(s):  
Sean A. Barton
Keyword(s):  
Experimental Data ◽  
Membrane Structure ◽  
Critical Pressure ◽  
Vacuum Chamber ◽  
Second Derivative ◽  
Cylindrical Wall ◽  
First Order ◽  
First Order Correction ◽  
Preliminary Experimental Data ◽  
Made In

A lightweight “inflatable” tensioned-membrane-structure vacuum container is proposed and its stability is analyzed. The proposed structure consists of a pressurized lobed cylindrical “wall” surrounding a central evacuated space. Stability is analyzed by discretizing the system and diagonalizing the second derivative of the potential energy. The structure is found to be stable when the pressure in the wall is greater than a critical pressure. When membranes are nonelastic, the critical pressure is found to be greater than the pressure required for equilibrium by a factor of 4∕3. When membranes have only finite stiffness, a first-order correction to the critical pressure is found. Preliminary experimental data show that a stable structure can be made in this way, and that the observed critical pressure is consistent with theory. It is also found that such structures can be designed to have net positive buoyancy in air.

An alternative solution for α-linolenic acid supplements: in vitro digestive properties of silkworm pupae oil in a pH-stat system

2021 ◽  
Author(s):  
Cheng-Hai Yan ◽  
Xiao-Meng Xun ◽  
Jiao Wang ◽  
Jin-Zheng Wang ◽  
Shuai You ◽  
...  
Keyword(s):  
Kinetic Model ◽  
Pancreatic Lipase ◽  
Order Kinetic ◽  
Lipid Digestion ◽  
First Order ◽  
System P ◽  
Silkworm Pupae ◽  
Order Kinetic Model ◽  
Ph Stat

A brief description of the digestion system in vitro for silkworm pupae oil. Triacylglycerols are hydrolyzed by pancreatic lipase. Meanwhile, the release level and a first-order kinetic model were used to investigate lipid digestion properties.

scholarly journals Asymptotics of some generalized Mathieu series

2020 ◽  
Vol 126 (3) ◽  
pp. 424-450
Author(s):  
Stefan Gerhold ◽  
Friedrich Hubalek ◽  
Živorad Tomovski
Keyword(s):  
Dirichlet Series ◽  
Gamma Function ◽  
Mellin Transform ◽  
Asymptotic Estimates ◽  
Precise Asymptotics ◽  
Singular Behavior ◽  
Natural Boundary ◽  
First Order ◽  
Elementary Estimate ◽  
Mathieu Series

We establish asymptotic estimates of Mathieu-type series defined by sequences with power-logarithmic or factorial behavior. By taking the Mellin transform, the problem is mapped to the singular behavior of certain Dirichlet series, which is then translated into asymptotics for the original series. In the case of power-logarithmic sequences, we obtain precise first order asymptotics. For factorial sequences, a natural boundary of the Mellin transform makes the problem more challenging, but a direct elementary estimate gives reasonably precise asymptotics. As a byproduct, we prove an expansion of the functional inverse of the gamma function at infinity.

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