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Entropy and the Second Law of Thermodynamics01:26

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Consider an isolated system in which a hot object is placed in contact with a cold one. This is an irreversible process that eventually leads both objects to reach the same equilibrium temperature. It is crucial to note that the constituents of any substance exhibit increased disorder at higher temperatures. As a cold substance absorbs heat, its constituents become more disordered. The energy transfer from a hotter object to a cooler one increases the system's disorder or randomness. This...
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The second law of thermodynamics can be stated quantitatively using the concept of entropy. Entropy is the measure of disorder of the system.
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The first law of thermodynamics is quantitatively formulated via an equation relating the internal energy of a system, the heat exchanged by it, and the work done on it. A quantitative formulation of the second law of thermodynamics leads to defining a state function, the entropy.
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Salt particles that have dissolved in water never spontaneously come back together in solution to reform solid particles. Moreover, a gas that has expanded in a vacuum remains dispersed and never spontaneously reassembles. The unidirectional nature of these phenomena is the result of a thermodynamic state function called entropy (S). Entropy is the measure of the extent to which the energy is dispersed throughout a system, or in other words, it is proportional to the degree of disorder of a...
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Consider an arbitrary process that moves between two specific states (A and B) in a cyclic manner. This process is reversible and broken down into smaller parts that each follow a Carnot cycle. A Carnot cycle has two isothermal (constant temperature) processes. During these processes, the ratio of the amount of heat transferred to their respective temperature remains constant. The other two processes in the Carnot cycle are also reversible but adiabatic, which means they occur without any heat...
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The thermodynamic processes can be classified into reversible and irreversible processes. The processes that can be restored to their initial state are called reversible processes. It is only possible if the process is in quasi-static equilibrium, i.e., it takes place in infinitesimally small steps, and the system remains at equilibrium However, these are ideal processes and do not occur naturally. An ideal system undergoing a reversible process is always in thermodynamic equilibrium within...
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Measuring disorder in irreversible decay processes.

Shane W Flynn1, Helen C Zhao1, Jason R Green1

  • 1Department of Chemistry, University of Massachusetts Boston, Boston, Massachusetts 02125, USA.

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Summary
This summary is machine-generated.

Rate coefficients in disordered systems fluctuate. We introduce new kinetic measures, derived from Fisher information, to quantify these fluctuations and the system

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Area of Science:

  • * Physical Chemistry
  • * Chemical Kinetics
  • * Statistical Mechanics

Background:

  • * Rate coefficients in chemical reactions can vary due to static and dynamic disorder.
  • * Understanding these fluctuations is crucial for accurately modeling reaction dynamics.

Purpose of the Study:

  • * To establish a relationship between the rate coefficient of an irreversibly decaying population and Fisher information.
  • * To define novel kinetic measures for quantifying cumulative fluctuations in rate coefficients.

Main Methods:

  • * Relating the rate coefficient to Fisher information for irreversibly decaying populations.
  • * Defining kinetic analogs of statistical-length squared and divergence.
  • * Analyzing the difference between these kinetic quantities to assess disorder.

Main Results:

  • * A direct relationship between rate coefficients and Fisher information was established.
  • * New kinetic measures, statistical-length squared and divergence, were defined to quantify rate coefficient fluctuations.
  • * The difference between these kinetic measures quantifies the degree of disorder in the system.

Conclusions:

  • * The developed kinetic measures provide a quantitative assessment of disorder in chemical kinetics.
  • * A zero value for the difference in kinetic quantities indicates a temporally and spatially unique rate coefficient.
  • * This work offers a new perspective on understanding and quantifying disorder in kinetic processes.