scholarly journals A General Solution to the Different Formulations of the Second Law of Thermodynamics

2021 ◽  
Vol 82 (2) ◽  
pp. 61-71
Author(s):  
Saeed Shahsavari ◽  
Mehran Moradi
Keyword(s):  
General Solution ◽  
Second Law Of Thermodynamics ◽  
The Other ◽  
Second Law ◽  
Energy Structure ◽  
New Approach ◽  
General Physics ◽  
Classical Thermodynamics ◽  
Physical Laws ◽  
Energy Components

The second law of thermodynamics is one of the most important physical laws that has been extracted by different formulations. In this paper, a new approach to study different formulations of the second law is extracted based on the energy components of the system as well as introducing the independent and dependent energy components concepts. Also, two main formulations of classical thermodynamics, and also entropy from the perspective of general physics are discussed based on the energy components of the system for constant applied energy to the system in different conditions. Kelvin-Plank and Clausius formulations, as two main classical formulations, are all assertions about impossible processes. Considering the energy structure equation of the system, as an equation to formulate the performed process using activated energy components, it is shown that different formulations of the second law of thermodynamics represent the same concept in the perspective of the energy structure. Finally, a new general formulation to the second law, based on the energy structure of the system is extracted, and the equivalence as the other formulations is shown. The presented formulation is extracted based on the dependent and independent activated energy components, and in fact, shows all possible paths in the considered energy applying to the system.

scholarly journals On the Probability in General Physics from the Perspective of the Energy Structure

2021 ◽  
Vol 9 (1) ◽  
Author(s):  
Saeed Shahsavari
Keyword(s):  
Physical System ◽  
Second Law Of Thermodynamics ◽  
Second Law ◽  
Energy Structure ◽  
New Approach ◽  
General Physics ◽  
Modern Physics ◽  
Probability Concept ◽  
New Perspective ◽  
Space Concept

What are the all final possible states that a physical system can reach when some energy is applied to the system? This question can be known as one of the physical questions that relate to the probability in physics. The second law of thermodynamics is known as the base of the probability concept that is raised in modern physics, while this concept is extracted in physical theories by different meanings. As a new approach to investigate the probability, at first, the energy space concept is extracted and then by applying the effects of the second law of thermodynamics on it, the energy structure is presented. The energy structure of the system is a new perspective to investigate the probability, and by using it, the relation between all possible accessible states, when some energy is applied to the system, can be determined.

scholarly journals On the Irreversibility in Mechanical Systems Using a New Macroscopic Energy Structure Modeling

2020 ◽  
Vol 8 (6) ◽  
Author(s):  
Saeed Shahsavari ◽  
Mehran Moradi ◽  
Morteza Esmaeilpour
Keyword(s):  
Irreversible Process ◽  
Statistical Approach ◽  
Mechanical Systems ◽  
Second Law Of Thermodynamics ◽  
Dissipated Energy ◽  
Second Law ◽  
Energy Structure ◽  
Performance Effects ◽  
New Energy ◽  
Energy Components

This paper presents a macroscopic applied innovate modeling to study the performance effects of the second law of thermodynamics on the mechanical systems. To investigate the irreversibility in mechanical systems, the energy structure of the system can be studied. Some energy components relate to the reversible processes and remaining relate to the irreversible process. Exiting models are based on the studying sub structures and therefore, need a large volume of the calculations. In this paper, at first, using a macroscopic quasi-statistical approach, a new energy structure equation is extracted and by examining it’s variation in the different paths, the irreversible components as well as their structures are studied. Using the kinematic theories of dissipated energy, it can be concluded that the extracted equations have the same base as the different formulations of the second law of thermodynamics. Finally, as a mechanical system example with the possibility of irreversibility in the possible performed processes, the extracted equations are developed for viscoelasticity problems. And also the matching of the results with expected results is shown.

Models and Explanations: Understanding Chemical Reaction Mechanisms

2000 ◽  
Author(s):  
Barry K. Carpenter
Keyword(s):  
Internal Rotation ◽  
Chemical Reaction ◽  
Reaction Mechanisms ◽  
Second Law Of Thermodynamics ◽  
The Other ◽  
Second Law ◽  
Original Design ◽  
Mechanical Analogy ◽  
Boston College ◽  
Chemical Reaction Mechanisms

In 1997, Ross Kelly and his coworkers at Boston College reported their results from an experiment with an intriguing premise (Kelly et al., 1997; see also Kelly et al., 1998). They had synthesized the molecule shown in figure 12.1. It was designed to be a “molecular ratchet,” so named because it appeared that it should undergo internal rotation about the A—B bond more readily in one direction than the other. The reason for thinking this might occur was that the benzophenanthrene moiety—the “pawl” of the ratchet—was anticipated to be helical. Thus, in some sense, this might be an inverse ratchet where the asymmetry dictating the sense of rotation would reside in the pawl rather than in the “teeth” on the “wheel” (the triptycene unit) as it does in a normal mechanical ratchet. Kelly and coworkers designed an elegant experiment to determine whether their molecular ratchet was functioning as anticipated, and they were (presumably) disappointed to find that it was not—internal rotation about the A—B bond occurred at equal rates in each direction. In 1998 Davis pointed out that occurrence of the desired behavior of the molecular ratchet would have constituted a violation of the second law of thermodynamics (Davis, 1998). With hindsight, I think most chemists would agree that Davis’s critique is unassailable, although the appeal of the mechanical analogy was so strong that I imagine those same chemists would also understand if Kelly et al. had overlooked the thermodynamic consequences of their proposal in the original design of the experiment. But now comes the interesting question: Suppose Kelly et al. had been fully aware that their experiment, if successful, would undermine the second law of thermodynamics, should they have conducted it anyway? Davis, in his critique writes: . . .Some would argue that this experiment was misconceived. To challenge the Second Law may be seen as scientific heresy (a nice irony, considering the Jesuit origins of Boston College), and the theoretical arguments against molecular ratchets and trapdoors are well developed. . . .

Mixing of Compressible Fluids

1961 ◽  
Vol 28 (3) ◽  
pp. 335-338 ◽  
Author(s):  
E. D. Kennedy
Keyword(s):  
Experimental Data ◽  
Compressible Fluid ◽  
Second Law Of Thermodynamics ◽  
Stagnation Pressure ◽  
Compressible Fluids ◽  
The Other ◽  
Second Law ◽  
Conservation Equations ◽  
Dimensionless Parameters ◽  
Constant Area

The problem of the mixing of two streams of the same compressible fluid in a constant-area duct is solved by applying certain dimensionless parameters first used by Kiselev. The extension to dissimilar fluids or to more than two streams is straightforward. Although the analysis is unrestricted, detailed results are given only for the case where one stream is sonic or supersonic and the other sonic or subsonic at the origin of mixing. For this case, the second law of thermodynamics indicates that, of the two solutions of the conservation equations, the subsonic one is always permitted while some of the supersonic solutions are thermodynamically impossible. Upon examination of experimental data, it is further concluded that of the admissible supersonic solutions, only one may be expected to occur. The establishment of this supersonic solution with its relatively high stagnation pressure leads to the conclusion that when the initial temperatures are sufficiently different, there exist thermodynamically possible solutions with a stagnation pressure higher than that of either of the two initial streams.

It's about Time: The Temporal Evolution of Order

2009 ◽  
Vol 34 (2) ◽  
pp. 131-137
Author(s):  
MOSHE PERLSTEIN
Keyword(s):  
Temporal Evolution ◽  
Second Law Of Thermodynamics ◽  
The Other ◽  
Second Law ◽  
Ethical Values ◽  
Other Hand ◽  
Measure For Measure ◽  
Analyse Time

This article borrows its methodology from physics in order to analyse time in the theatre as evolution of order. Two set designs (both designed by Roni Toren for the Khan Theatre in Jerusalem) are portrayed through this perspective, representing inverse examples. In Measure for Measure, directed by Gadi Roll, the temporal evolution of space is from order to disorder, obeying the second law of thermodynamics. On the other hand, in The Seagull, directed by Ofira Henig, the evolution contradicts that law. The problem of depicting disorder on stage, the possibility of such a contradiction, the implication of the two different perceptions and their ethical values are discussed to prove the effectiveness of a methodology adopted from physics.

scholarly journals Distinguishability of non-orthogonal density matrices does not imply violations of the second law

2019 ◽  
Author(s):  
PierGianLuca Porta Mana
Keyword(s):  
Hilbert Space ◽  
Density Matrix ◽  
Thermodynamic Analysis ◽  
Second Law Of Thermodynamics ◽  
The Other ◽  
Second Law ◽  
Density Matrices ◽  
Matrix Space ◽  
Von Neumann ◽  
Quantum Thermodynamic

The hypothetical possibility of distinguishing preparations described by non-orthogonal density matrices does not necessarily imply a violation of the second law of thermodynamics, as was instead stated by von Neumann. On the other hand, such a possibility would surely mean that the particular density-matrix space (and related Hilbert space) adopted would not be adequate to describe the hypothetical new experimental facts. These points are shown by making clear the distinction between physical preparations and the density matrices which represent them, and then comparing a "quantum" thermodynamic analysis given by Peres with a "classical" one given by Jaynes.

scholarly journals Probability, preclusion and biological evolution in Heisenberg-picture Everett quantum mechanics

2021 ◽  
pp. 2150117
Author(s):  
Mark A. Rubin
Keyword(s):  
Quantum Mechanics ◽  
State Vector ◽  
Biological Evolution ◽  
Second Law Of Thermodynamics ◽  
Quantum Mechanical ◽  
Second Law ◽  
Subjective Experiences ◽  
Everett Interpretation ◽  
Heisenberg Picture ◽  
Physical Laws

The fact that certain “extraordinary” probabilistic phenomena — in particular, macroscopic violations of the second law of thermodynamics — have never been observed to occur can be accounted for by taking hard preclusion as a basic physical law, i.e. precluding from existence events corresponding to very small but nonzero values of quantum-mechanical weight. This approach is not consistent with the usual ontology of the Everett interpretation, in which outcomes correspond to branches of the state vector, but can be successfully implemented using a Heisenberg-picture-based ontology in which outcomes are encoded in transformations of operators. Hard preclusion can provide an explanation for biological evolution, which can in turn explain our subjective experiences of, and reactions to, “ordinary” probabilistic phenomena, and the compatibility of those experiences and reactions with what we conventionally take to be objective probabilities arising from physical laws.

scholarly journals A Note on the Energy Structure Theory and Development for 2D Viscoelasticity

2021 ◽  
Vol 9 (1) ◽  
Author(s):  
Saeed Shahsavari ◽  
Mehran Moradi ◽  
Mehran Moradi ◽  
Navid Sayyar ◽  
Mehdi Kiani ◽  
...  
Keyword(s):  
Energy Exchange ◽  
Structure Equation ◽  
Structure Theory ◽  
Energy Structure ◽  
Engineering Analysis ◽  
Scientific Applications ◽  
Physical Processes ◽  
Energy Component ◽  
General Physics ◽  
Energy Components

The basis of the Energy Structure Theory can be introduced in references [1-5] presented in 2020. Energy Structure Theory explains some new thermo-physical concepts including energy space, energy structure equation, dependent and independent energy components, irreversibility components, irreversibility structure, etc. Since this theory is presented considering the first and second laws of thermodynamics as well as energy components of the system as the basis of the energy structure equation, this theory can be expanded for a variety of the scientific applications. For example, in this note, we will try to introduce some of these scientific applications in general physics and engineering analysis. Also, using relevant concepts, 2D viscoelasticity problems will be studied. Also, the viscoelasticity and kinematic energy will be calculated for 2D viscoelasticity problems. Energy structure theory let us to study physical processes from the perspective of the componential energy exchange as well as independent and dependent energy component concept introduced by this theory.

scholarly journals APPLICATION OF THE POSTULATE OF NONEQUILIBRIUM TO CALCULATE THE NONEQUILIBRIUM OF SYSTEMS OF DISSIMILAR GASES AND LIQUIDS

2020 ◽  
Vol 17 (34) ◽  
pp. 998-1011
Author(s):  
Vladimir V RYNDIN
Keyword(s):  
Equilibrium State ◽  
Quantitative Characteristic ◽  
Second Law Of Thermodynamics ◽  
Irreversible Processes ◽  
Second Law ◽  
Nonequilibrium Systems ◽  
Real Property ◽  
Pure Solvent ◽  
Classical Thermodynamics ◽  
Isothermal Mixing

The postulate of nonequilibrium is at the heart of the second law of thermodynamics. According to this postulate, there is a real property of matter – “nonequilibrium,” which characterizes the uneven distribution of matter and motion in space. All processes (reversible and irreversible) can occur only in nonequilibrium systems. As a quantitative characteristic of the nonequilibrium of the system, the maximum work that can be performed during the transition of the nonequilibrium system to the equilibrium state is considered. The only formulation of the second law is given. When real (irreversible) processes occur, the nonequilibrium of the isolated system decreases, and in reversible processes, the nonequilibrium in the system of locally equilibrium subsystems does not change (the increment of one kind of the nonequilibrium entirely compensated by a decrease in the disequilibrium of some other kind). When the system reaches an equilibrium state, the disequilibrium disappears, and all processes cease. The article provides a calculated confirmation of the theoretical provisions of the concept of nonequilibrium and its mathematical apparatus by examples of determining the loss of the nonequilibrium of system when an isothermal mixing of dissimilar gases, and changes of nonequilibrium of system "pure solvent – solution" in the transition of part of the solvent in the solution. The mixing of the same gases leads to the Gibbs paradox, which is also considered in this paper. The concept of nonequilibrium was developed and the quantitative characteristics (measures) of nonequilibrium of the system were introduced allow to study nonequilibrium systems consisting of locally equilibrium subsystems in the sections of classical thermodynamics as simply as individual equilibrium systems.

scholarly journals Realization of Maxwell’s Hypothesis: A Heat-Electric Conversion in Contradiction to the Kelvin Statement

2016 ◽  
Author(s):  
Xinyong Fu ◽  
Zitao Fu
Keyword(s):  
Magnetic Field ◽  
Uniform Magnetic Field ◽  
Room Temperature ◽  
Electric Energy ◽  
Second Law Of Thermodynamics ◽  
Ambient Air ◽  
The Other ◽  
Second Law ◽  
Heat Reservoir ◽  
Static Uniform Magnetic Field

In a vacuum tube, two identical and parallel Ag-O-Cs surfaces, with a work function of approximately 0.8eV, ceaselessly emit thermal electrons at room temperature. The thermal electrons are so controlled by a static uniform magnetic field that they can fly only from one Ag-O-Cs surface to the other, resulting in a potential difference and an electric current, and transferring a power to a resistance outside the tube. The ambient air is a single heat reservoir in the experiment, and all the heat extracted by the tube from the air is converted into electric energy without producing any other effect. The authors maintain that the experiment is in contradiction to the Kelvin statement of the second law of thermodynamics.

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