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Zeroth Law of Thermodynamics01:14

Zeroth Law of Thermodynamics

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Experimentally, if object A is in equilibrium with object B, and object B is in equilibrium with object C, then object A is in equilibrium with object C. That statement of transitivity is called the "zeroth law of thermodynamics." For example, a cold metal block and a hot metal block are both placed on a metal plate at room temperature. Eventually, the cold block and the plate will be in thermal equilibrium. In addition, the hot block and the plate will be in thermal equilibrium.
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Thermodynamic Background01:18

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The law of mass action states that "the rate of a chemical reaction is directly proportional to the product of the molar concentrations of the reactants." It means that the more 'active mass' or 'concentration' of the reactants present, the faster the reaction will proceed.In a chemical reaction, there are forward and reverse reactions. The forward reaction is the process where the reactants combine to form products. The reverse reaction is the process where the products break down to form the...
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Atomization, converting samples into gas-phase atoms and ions, is essential for atomic spectroscopy. The flame temperature required for atomization affects the efficiency of the atomic spectroscopic methods by increasing the atomization efficiency and the relative population of the excited and ground states.
At thermal equilibrium, the relative populations of excited and ground state atoms can be estimated using the Maxwell–Boltzmann distribution. For example, an increase in temperature...
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The Zeroth Law of Thermodynamics01:14

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Systems in mechanical equilibrium exert equal pressure on the separating wall. Similarly, systems in thermal equilibrium share a common thermodynamic property: temperature.Temperature is a measure of the average kinetic energy of particles within a system. More generally, it reflects the internal energy state of the system. The higher the temperature, the more energy a system has, given that other variables, such as volume and pressure, remain constant. However, temperature is not a form of...
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Thermodynamic Potentials01:26

Thermodynamic Potentials

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Thermodynamic potentials are state functions that are extremely useful in analyzing a thermodynamic system. They have dimensions of energy. The four important thermodynamic potentials are internal energy, enthalpy, Helmholtz free energy, and Gibbs free energy. These thermodynamic potentials can be expressed using two of the following variables: pressure, volume, temperature, and entropy. These two variables are expressed as the rate of change of the thermodynamic potential with respect to other...
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Thermodynamic Systems01:06

Thermodynamic Systems

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A thermodynamic system is a set of objects whose thermodynamic properties are of interest. The system is considered to be embedded in its surroundings or the environment. The system and its environment can exchange heat and do work on each other through a boundary that separates them. However, the immediate surroundings of the system interact with it directly and therefore have a much stronger influence on its behavior and properties.
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Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving
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Low-temperature thermodynamics with quantum coherence.

Varun Narasimhachar1, Gilad Gour1

  • 1Department of Mathematics and Statistics and Institute for Quantum Science and Technology, University of Calgary, 2500 University Drive NW, Calgary, Alberta, Canada T2N 1N4.

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Researchers introduce

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Area of Science:

  • Quantum Thermodynamics
  • Quantum Information Theory

Background:

  • Thermal operations model non-equilibrium quantum thermodynamics.
  • Coherence complicates state transition conditions beyond thermo-majorization.
  • Gibbs-preserving quantum channels are a tractable but limited model.

Purpose of the Study:

  • To generalize thermal operations to include coherence.
  • To derive state transition conditions for this new model.
  • To explore the relationship between the new model and existing theories.

Main Methods:

  • Introduced 'cooling maps' as a generalization of thermal operations.
  • Derived necessary and sufficient state transition conditions for cooling maps.
  • Investigated the realizability of cooling maps as thermal operations.

Main Results:

  • Derived the exact state transition condition for cooling maps at low temperatures.
  • Showed that cooling maps saturating coherence transfer bounds are realizable as thermal operations.
  • Cooling maps offer a more tractable framework than Gibbs-preserving operations.

Conclusions:

  • Cooling maps provide a tractable generalization of thermal operations.
  • The study conjectures that all cooling maps are thermal operations.
  • Cooling map models may offer insights into quantum thermodynamics at general temperatures.