Viscoelastic relaxation spectra are essential for predicting and interpreting the mechanical responses of materials and structures. For biological tissues, these spectra must usually be estimated ...from viscoelastic relaxation tests. Interpreting viscoelastic relaxation tests is challenging because the inverse problem is expensive computationally. We present here an efficient algorithm that enables rapid identification of viscoelastic relaxation spectra. The algorithm was tested against trial data to characterize its robustness and identify its limitations and strengths. The algorithm was then applied to identify the viscoelastic response of reconstituted collagen, revealing an extensive distribution of viscoelastic time constants.
Maxwell's Demon Leff, Harvey S; Leff, Harvey S; Rex, Andrew F
2014., 20140701, 1990, 2014-07-14, Letnik:
49
eBook
About 120 years ago, James Clerk Maxwell introduced his now legendary hypothetical "demon" as a challenge to the integrity of the second law of thermodynamics. Fascination with the demon persisted ...throughout the development of statistical and quantum physics, information theory, and computer science--and linkages have been established between Maxwell's demon and each of these disciplines. The demon's seductive quality makes it appealing to physical scientists, engineers, computer scientists, biologists, psychologists, and historians and philosophers of science. Until now its important source material has been scattered throughout diverse journals.
This book brings under one cover twenty-five reprints, including seminal works by Maxwell and William Thomson; historical reviews by Martin Klein, Edward Daub, and Peter Heimann; information theoretic contributions by Leo Szilard, Leon Brillouin, Dennis Gabor, and Jerome Rothstein; and innovations by Rolf Landauer and Charles Bennett illustrating linkages with the limits of computation. An introductory chapter summarizes the demon's life, from Maxwell's illustration of the second law's statistical nature to the most recent "exorcism" of the demon based on a need periodically to erase its memory. An annotated chronological bibliography is included.
Originally published in 1990.
ThePrinceton Legacy Libraryuses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Dimensional reduction of the Dirac theory Angelone, Giuliano; Ercolessi, Elisa; Facchi, Paolo ...
Journal of physics. A, Mathematical and theoretical,
02/2023, Letnik:
56, Številka:
6
Journal Article
In this contribution, zeolitic imidazolate framework (ZIF-8)/polydimethylsiloxane (PDMS) mixed matrix membranes (MMMs) were prepared for hydrocarbon recovery using propane/nitrogen mixture as a model ...feed gas pair. All MMMs obtained a homogeneous particle dispersion and intimate interface interaction, which were confirmed by high resolution scanning electric microscopy (SEM) and energy dispersive X-ray spectroscopy (EDS) mapping. Gas permeation test shows that ZIF-8/PDMS MMMs demonstrate an enhanced separation performance with improved separation selectivity (38% higher than that of pure PDMS membranes) and propane permeance over 100GPU. However, it is worth noting that the enhanced selectivity and decreased permeance of MMMs contradict the prediction by Maxwell model, which suggests the existence of pore blockage and inhibited chain mobility at polymer-particle interface. The inhibited chain mobility is further confirmed by differential scanning calorimetry (DSC) analysis. Based on these observations, a new modified Maxwell model is proposed taking non-ideal interface morphology and particle agglomeration into consideration. Both the selectivity and gas permeance predicted by the proposed model are in good agreement with experimental data, which thereby extends the application scope of original Maxwell model.
•ZIF-8/PDMS MMMs were fabricated and applied in hydrocarbon recovery.•Intimate interface interaction with enhanced selectivity for MMMs.•Modified Maxwell model taking non-ideal interface and agglomeration into account.•Extended application scope of Maxwell model with credible prediction result.
In this paper we study the nonlinear Schrödinger–Maxwell equations
{
−
Δ
u
+
V
(
x
)
u
+
ϕ
u
=
|
u
|
p
−
1
u
in
R
3
,
−
Δ
ϕ
=
u
2
in
R
3
.
If
V is a positive constant, we prove the existence of a ...ground state solution
(
u
,
ϕ
)
for
2
<
p
<
5
. The non-constant potential case is treated for
3
<
p
<
5
, and
V possibly unbounded below. Existence and nonexistence results are proved also when the nonlinearity exhibits a critical growth.
Stability analysis of double-diffusive convection for viscoelastic fluid with Soret effect in a porous medium is investigated using a modified-Maxwell–Darcy model. We use the linear stability ...analysis to investigate how the Soret parameter and the relaxation time of viscoelastic fluid effect the onset of convection and the selection of an unstable wavenumber. It is found that the Soret effect is to destabilize the system for oscillatory convection. The relaxation time also enhances the instability of the system. The effects of Soret coefficient and relaxation time on the heat transfer rate in a porous medium are studied using the nonlinear stability analysis, the variation of the Nusselt number with respect to the Rayleigh number is derived for stationary and oscillatory convection modes. Some previous results can be reduced as the special cases of the present paper.
In this paper, we generalize the idea in our previous work for the Vlasov–Ampère (VA) system (Y. Cheng, A.J. Christlieb, and X. Zhong (2014) 10) and develop energy-conserving discontinuous Galerkin ...(DG) methods for the Vlasov–Maxwell (VM) system. The VM system is a fundamental model in the simulation of collisionless magnetized plasmas. Compared to Y. Cheng, A.J. Christlieb, and X. Zhong (2014) 10, additional care needs to be taken for both the temporal and spatial discretizations to achieve similar type of conservation when the magnetic field is no longer negligible. Our proposed schemes conserve the total particle number and the total energy at the same time, therefore can obtain accurate and physically relevant numerical solutions. The main components of our methods include second order and above, explicit or implicit energy-conserving temporal discretizations, and DG methods for Vlasov and Maxwell's equations with carefully chosen numerical fluxes. Benchmark numerical tests such as the streaming Weibel instability are provided to validate the accuracy and conservation of the schemes.
By using the method of separation of variables, an analytical solution for the magnetohydrodynamic (MHD) flow of the generalized Maxwell fluids under AC electric field through a two-dimensional ...rectangular micropump is reduced. By the numerical computation, the variations of velocity profiles with the electrical oscillating Reynolds number Re, the Hartmann number Ha, the dimensionless relaxation time De are studied graphically. Further, the comparison with available experimental data and relevant researches is presented.
Display omitted
•MHD flow of the generalized Maxwell fluids under AC electric field is analyzed.•The MHD flow is confined to a two-dimensional rectangular micropump.•Analytical solution is obtained by using the method of separation of variables.•The influences of related parameters on the MHD velocity are discussed.
A comparative analysis is carried out to study the unsteady flow of a Maxwell fluid in the presence of Newtonian heating near a vertical flat plate. The fractional derivatives presented by Caputo and ...Caputo–Fabrizio are applied to make a physical model for a Maxwell fluid. Exact solutions of the non-dimensional temperature and velocity fields for Caputo and Caputo–Fabrizio time-fractional derivatives are determined via the Laplace transform technique. Numerical solutions of partial differential equations are obtained by employing Tzou’s and Stehfest’s algorithms to compare the results of both models. Exact solutions with integer-order derivative (fractional parameter α = 1) are also obtained for both temperature and velocity distributions as a special case. A graphical illustration is made to discuss the effect of Prandtl number Pr and time t on the temperature field. Similarly, the effects of Maxwell fluid parameter λ and other flow parameters on the velocity field are presented graphically, as well as in tabular form.
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