Entropy production in polarizable bodies with internal variables

Author(s):  
Mauro Francaviglia ◽  
Liliana Restuccia ◽  
Patrizia Rogolino
2018 ◽  
Vol 24 (4) ◽  
pp. 1221-1240
Author(s):  
Hamid Said

Entropy production in classical thermomechanical systems is the result of three sources: transfer of heat; dissipative stresses, such as viscosity; and internal variables. In this paper, a variational treatment for dissipative systems due to internal variables is presented. Specifically, in the context of the theory of internal variables, a novel dissipative Lagrangian–Hamiltonian formalism is developed. Two fundamental thermodynamic functions (the free energy and the entropy production rate) form the basis of this formalism. The Hamiltonian formulation reveals a new structure on the phase space, and is applied to prove large-time solutions for the semilinear problem. Finally, the formalism is applied to the problem of dynamic brittle fracture.


2020 ◽  
Vol 46 (2) ◽  
pp. 121-137
Author(s):  
Francesco Farsaci ◽  
Ester Tellone ◽  
Annamaria Russo ◽  
Antonio Galtieri ◽  
Silvana Ficarra

Abstract The importance of studying storage alterations in erythrocytes is highlighted by the need to understand changes that could potentially serve to optimize the storage system. With this aim, the non-equilibrium thermodynamic theory with internal variables was introduced, and perturbing the erythrocyte samples with a harmonic electric field some functions of the theory have been determined varying in the perturbation frequency. A frequency has been noted that acts as a separator element between two states showing a different entropy production above and below this frequency. In stored red blood cells compared to fresh ones, the increase in entropy production measured shows a greater state of disorder in the latter. Further alterations have been highlighted on the surface charge density of the stored erythrocyte membrane and on the speed of anionic kinetics. All these observations highlight the image of membrane structural and functional alterations of the stored erythrocytes and lead to the elaboration of a technique able to correlate a specific perturbation frequency with the aging time of red blood cells.


2002 ◽  
Vol 16 (3) ◽  
pp. 129-149 ◽  
Author(s):  
Boris Kotchoubey

Abstract Most cognitive psychophysiological studies assume (1) that there is a chain of (partially overlapping) cognitive processes (processing stages, mechanisms, operators) leading from stimulus to response, and (2) that components of event-related brain potentials (ERPs) may be regarded as manifestations of these processing stages. What is usually discussed is which particular processing mechanisms are related to some particular component, but not whether such a relationship exists at all. Alternatively, from the point of view of noncognitive (e. g., “naturalistic”) theories of perception ERP components might be conceived of as correlates of extraction of the information from the experimental environment. In a series of experiments, the author attempted to separate these two accounts, i. e., internal variables like mental operations or cognitive parameters versus external variables like information content of stimulation. Whenever this separation could be performed, the latter factor proved to significantly affect ERP amplitudes, whereas the former did not. These data indicate that ERPs cannot be unequivocally linked to processing mechanisms postulated by cognitive models of perception. Therefore, they cannot be regarded as support for these models.


2020 ◽  
Vol 48 (3) ◽  
pp. 1-11
Author(s):  
Qiyi Lin ◽  
Nan Zhou ◽  
Hong Fu

We investigated the prevalence of Chinese children's imaginary companions (ICs) and the internal variables of IC types (personified object or invisible friend) and child–IC relationship qualities (egalitarian or hierarchical child–IC relationship). Participants were 266 children aged 4 to 6 years. Only in the 5-year-old group was the proportion of children with ICs significantly higher among girls than among boys, implying that the relationship between gender and IC was not consistent across age groups. Children from families in the highest annual income group engaged in more IC play than did children from families in the lowest annual income group, indicating a relationship between family socioeconomic environment and children's imaginary play. IC types were not associated with child–IC relationship qualities in any of the age groups, implying that these qualities may represent different dimensions of IC play as early as 4 years old.


1981 ◽  
Vol 46 (2) ◽  
pp. 452-456
Author(s):  
Milan Šolc

The successive time derivatives of relative entropy and entropy production for a system with a reversible first-order reaction alternate in sign. It is proved that the relative entropy for reactions with an equilibrium constant smaller than or equal to one is completely monotonic in the whole definition interval, and for reactions with an equilibrium constant larger than one this function is completely monotonic at the beginning of the reaction and near to equilibrium.


2020 ◽  
Vol 32 (6) ◽  
pp. 1619-1627 ◽  
Author(s):  
Jüri Engelbrecht ◽  
Kert Tamm ◽  
Tanel Peets

Author(s):  
Hucan Hou ◽  
Yongxue Zhang ◽  
Xin Zhou ◽  
Zhitao Zuo ◽  
Haisheng Chen

The ultra-low specific speed centrifugal pump has been widely applied in aerospace engineering, metallurgy, and other industrial fields. However, its hydraulic design lacks specialized theory and method. Moreover, the impeller and volute are designed separately without considering their coupling effect. Therefore, the optimal design is proposed in this study based on the local entropy production theory. Four geometrical parameters are selected to establish orthogonal design schemes including blade outlet setting angle, wrapping angle volute inlet width, and throat area. Subsequently, a 3D steady flow with Reynolds stress turbulent model and energy equation model is numerically conducted and the entropy production is calculated by a user-defined function code. The range analysis is made to identify the optimal scheme indicating that the combination of local entropy production and orthogonal design is feasible on pump optimization. The optimal pump is visibly improved with an increase of 1.08% in efficiency. Entropy production is decreased by 16.75% and 6.03% in impeller and volute, respectively. High energy loss areas are captured and explained in terms of helical vortex and wall friction, and the turbulent and wall entropy production are respectively reduced by 3.82% and 14.34% for the total pump.


Sign in / Sign up

Export Citation Format

Share Document