scholarly journals Economic Cycles of Carnot Type

Entropy ◽  
2021 ◽  
Vol 23 (10) ◽  
pp. 1344
Author(s):  
Constantin Udriste ◽  
Vladimir Golubyatnikov ◽  
Ionel Tevy
Keyword(s):  
Van Der Waals ◽  
Thermodynamic Cycle ◽  
Ideal Gas ◽  
Maximum Efficiency ◽  
Carnot Cycle ◽  
Refrigeration System ◽  
Classical Thermodynamic ◽  
Economic Cycles ◽  
Van Der Waals Surface ◽  
The Ideal

Originally, the Carnot cycle was a theoretical thermodynamic cycle that provided an upper limit on the efficiency that any classical thermodynamic engine can achieve during the conversion of heat into work, or conversely, the efficiency of a refrigeration system in creating a temperature difference by the application of work to the system. The first aim of this paper is to introduce and study the economic Carnot cycles concerning Roegenian economics, using our thermodynamic–economic dictionary. These cycles are described in both a Q−P diagram and a E−I diagram. An economic Carnot cycle has a maximum efficiency for a reversible economic “engine”. Three problems together with their solutions clarify the meaning of the economic Carnot cycle, in our context. Then we transform the ideal gas theory into the ideal income theory. The second aim is to analyze the economic Van der Waals equation, showing that the diffeomorphic-invariant information about the Van der Waals surface can be obtained by examining a cuspidal potential.

Ideal gas processes – and two ideal gas case studies too

2018 ◽  
Author(s):  
Dennis Sherwood ◽  
Paul Dalby
Keyword(s):  
Case Studies ◽  
Constant Pressure ◽  
Ideal Gas ◽  
Heat Capacities ◽  
Carnot Cycle ◽  
State Function ◽  
Ideal Gases ◽  
First Case ◽  
The Ideal

This chapter brings together, and builds on, the results from previous chapters to provide a succinct, and comprehensive, summary of all key relationships relating to ideal gases, including the heat and work associated with isothermal, adiabatic, isochoric and isobaric changes, and the properties of an ideal gas’s heat capacities at constant volume and constant pressure. The chapter also has two ‘case studies’ which use the ideal gas equations in broader, and more real, contexts, so showing how the equations can be used to tackle, successfully, more extensive systems. The first ‘case study’ is the Carnot cycle, and so covers all the fundamentals required for the proof of the existence of entropy as a state function; the second ‘case study’ is the ‘thermodynamic pendulum’ – a system in which a piston in an enclosed cylinder oscillates to and fro like a pendulum under gravity, in both the absence, and presence, of friction.

Van der Waals black hole as a heat engine

2021 ◽  
pp. 2150114
Author(s):  
Tanusree Roy ◽  
Ujjal Debnath
Keyword(s):  
Black Hole ◽  
Free Energy ◽  
Van Der Waals ◽  
Heat Engine ◽  
Rankine Cycle ◽  
Maximum Efficiency ◽  
Carnot Cycle ◽  
De Sitter ◽  
Extended Phase ◽  
Gibb’S Free Energy

In this work, we attempt to study the thermodynamic behavior of static Van der Waals (VdW) black hole with an anti-de Sitter (AdS) background in the extended phase space. Treating the negative cosmological constant as thermodynamic pressure, we obtain the expressions for enthalpy, Gibb’s free energy and Helmholtz free energy. We study the stability and Joule–Thomson expansion for the black hole. Next, we construct a heat engine by considering the VdW black hole as the working substance. We investigate the maximum efficiency of the black hole heat engine for the Carnot cycle. We also discuss the work done and the efficiency of a new heat engine. Finally, we study the efficiency of the black hole heat engine for the Rankine cycle.

scholarly journals On the van der Waals Gas, Contact Geometry and the Toda Chain

Entropy ◽  
2018 ◽  
Vol 20 (8) ◽  
pp. 554
Author(s):  
Diego Alarcón ◽  
P. Fernández de Córdoba ◽  
J. Isidro ◽  
Carlos Orea
Keyword(s):  
Van Der Waals ◽  
Toda Chain ◽  
Contact Geometry ◽  
Ideal Gas ◽  
Van Der Waals Gas ◽  
The Ideal

A Toda–chain symmetry is shown to underlie the van der Waals gas and its close cousin, the ideal gas. Links to contact geometry are explored.

scholarly journals Increase in Axial Compressibility in a Spinning Van der Waals Gas

Entropy ◽  
2021 ◽  
Vol 23 (2) ◽  
pp. 137
Author(s):  
Yun Liu ◽  
Hao Liu ◽  
Zhen-Guo Fu ◽  
Weimin Zhou
Keyword(s):  
Van Der Waals ◽  
Axial Direction ◽  
Md Simulations ◽  
High Energy ◽  
Ideal Gas ◽  
High Energy Density ◽  
Van Der Waals Gas ◽  
Equation Of States ◽  
Dense State ◽  
The Ideal

We investigated the adiabatic compression along the axial direction of a spinning Van der Waals gas by applying theoretical analysis and molecular dynamics (MD) simulations. Based on the analytical results, the rotation-induced compressibility increase effect is significant in a Van der Waals gas, while the attraction term in the Van der Waals equation of states (EOS) contributes significantly to the compressibility increase in a spinning system. We conducted MD simulations to the axial compression of a spinning gas, whose state is far from the ideal gas state, and further demonstrated that the rotation-induced compressibility increase effect in a dense state is robust, implying that such a phenomenon can be detected in experiments under high-energy-density conditions.

Making sense of sensemaking: using the sensemaking epistemic game to investigate student discourse during a collaborative gas law activity

2021 ◽  
Author(s):  
Kevin H. Hunter ◽  
Jon-Marc G. Rodriguez ◽  
Nicole M. Becker
Keyword(s):  
Problem Solving ◽  
Conceptual Understanding ◽  
Ideal Gas ◽  
Interactive Simulation ◽  
Structural Components ◽  
Student Discourse ◽  
Coding Scheme ◽  
Making Sense ◽  
Ideal Gas Law ◽  
The Ideal

Beyond students’ ability to manipulate variables and solve problems, chemistry instructors are also interested in students developing a deeper conceptual understanding of chemistry, that is, engaging in the process of sensemaking. The concept of sensemaking transcends problem-solving and focuses on students recognizing a gap in knowledge and working to construct an explanation that resolves this gap, leading them to “make sense” of a concept. Here, we focus on adapting and applying sensemaking as a framework to analyze three groups of students working through a collaborative gas law activity. The activity was designed around the learning cycle to aid students in constructing the ideal gas law using an interactive simulation. For this analysis, we characterized student discourse using the structural components of the sensemaking epistemic game using a deductive coding scheme. Next, we further analyzed students’ epistemic form by assessing features of the activity and student discourse related to sensemaking: whether the question was framed in a real-world context, the extent of student engagement in robust explanation building, and analysis of written scientific explanations. Our work provides further insight regarding the application and use of the sensemaking framework for analyzing students’ problem solving by providing a framework for inferring the depth with which students engage in the process of sensemaking.

The combined effect of lattice’s uniaxial strains and electron–phonon interaction’s screening on TBEC of the intersite bipolarons

2016 ◽  
Vol 30 (26) ◽  
pp. 1650186
Author(s):  
B. Yavidov ◽  
SH. Djumanov ◽  
T. Saparbaev ◽  
O. Ganiyev ◽  
S. Zholdassova ◽  
...  
Keyword(s):  
Ideal Gas ◽  
Einstein Condensation ◽  
Chain Model ◽  
One Dimensional ◽  
Electron Phonon Interaction ◽  
Model Lattice ◽  
Experimental Values ◽  
Bose Einstein ◽  
Derivatives Of ◽  
The Ideal

Having accepted a more generalized form for density-displacement type electron–phonon interaction (EPI) force we studied the simultaneous effect of uniaxial strains and EPI’s screening on the temperature of Bose–Einstein condensation [Formula: see text] of the ideal gas of intersite bipolarons. [Formula: see text] of the ideal gas of intersite bipolarons is calculated as a function of both strain and screening radius for a one-dimensional chain model of cuprates within the framework of Extended Holstein–Hubbard model. It is shown that the chain model lattice comprises the essential features of cuprates regarding of strain and screening effects on transition temperature [Formula: see text] of superconductivity. The obtained values of strain derivatives of [Formula: see text] [Formula: see text] are in qualitative agreement with the experimental values of [Formula: see text] [Formula: see text] of La[Formula: see text]Sr[Formula: see text]CuO4 under moderate screening regimes.

Visualization of the ideal gas equation

1988 ◽  
Vol 26 (6) ◽  
pp. 398-398 ◽  
Author(s):  
J. Hellemans
Keyword(s):  
Ideal Gas ◽  
The Ideal

SPIN-POLARIZED ATOMIC DEUTERIUM (↓D) IN THE STATIC FLUCTUATION APPROXIMATION (SFA)

2008 ◽  
Vol 22 (03) ◽  
pp. 257-266 ◽  
Author(s):  
A. S. SANDOUQA ◽  
B. R. JOUDEH ◽  
M. K. AL-SUGHEIR ◽  
H. B. GHASSIB
Keyword(s):  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Ideal Gas ◽  
Hard Sphere Model ◽  
Spin Polarized ◽  
Static Fluctuation Approximation ◽  
Static Fluctuation ◽  
Type Potential ◽  
The Ideal

Spin-polarized atomic deuterium (↓D) is investigated in the static fluctuation approximation with a Morse-type potential. The thermodynamic properties of the system are computed as functions of temperature. In addition, the ground-state energy per atom is calculated for the three species of ↓D : ↓D 1, ↓D 2, and ↓D 3. This is then compared to the corresponding ground-state energy per atom for the ideal gas, and to that obtained by the perturbation theory of the hard sphere model. It is deduced that ↓D is nearly ideal.

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