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Related Concept Videos

Reversible and Irreversible Processes01:14

Reversible and Irreversible Processes

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...
The Carnot Cycle and the Second Law of Thermodynamics01:20

The Carnot Cycle and the Second Law of Thermodynamics

The Carnot engine works between two heat reservoirs of fixed temperatures. The Carnot cycle begs the following question: Is it possible to devise a heat engine that is more efficient than a Carnot engine between two fixed temperatures? The answer lies in designing a Carnot refrigerator.
Since the individual steps in a Carnot cycle can be reversed, the entire cycle is, thus, reversible. If a Carnot cycle is reversed, it becomes a Carnot refrigerator. It extracts heat Qc from a cold reservoir at...
Entropy01:18

Entropy

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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Entropy02:39

Entropy

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...
Entropy Change in Reversible Processes01:10

Entropy Change in Reversible Processes

In the Carnot engine, which achieves the maximum efficiency between two reservoirs of fixed temperatures, the total change in entropy is zero. The observation can be generalized by considering any reversible cyclic process consisting of many Carnot cycles. Thus, it can be stated that the total entropy change of any ideal reversible cycle is zero.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
Thermodynamic Processes01:25

Thermodynamic Processes

A thermodynamic process is a path through a sequence of states that takes a system from an initial state to a final state. In a cyclic process, the system returns to its initial state, so the changes in state properties and state functions (ΔT, Δp, ΔV, ΔU, ΔH) over one complete cycle are zero. However, heat and work transfers can still occur during the cycle, and the net heat and net work over the cycle need not be zero.A reversible process occurs when the system is infinitesimally close to...

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Asymmetric Thermoelectrochemical Cell for Harvesting Low-grade Heat under Isothermal Operation
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Thermodynamic cost of reversible computing.

Lev B Levitin1, Tommaso Toffoli

  • 1Electrical and Computer Engineering, Boston University, Boston, Massachusetts 02215, USA. levitin@bu.edu

Physical Review Letters
|October 13, 2007
PubMed
Summary

Reversible computing necessitates error correction, which increases environmental entropy via heat dissipation. This study quantizes this energy cost using effective noise temperature, linking dissipation rate to computation speed.

Area of Science:

  • Physics
  • Computer Science
  • Thermodynamics

Background:

  • Reversible computing aims for perfect information preservation.
  • Error correction is essential to counteract environmental interactions.
  • Information loss in computing is linked to thermodynamic costs.

Purpose of the Study:

  • To quantify the energy cost of error correction in reversible computing.
  • To analyze the relationship between energy dissipation and computation rate.
  • To present a generalized Clausius principle based on effective temperature.

Main Methods:

  • Derivation of an expression for dissipated energy in terms of effective noise temperature.
  • Analysis of the energy dissipation rate versus computation rate.

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  • Formulation of a generalized Clausius principle.
  • Main Results:

    • An expression for the energy cost of reversible computing errors was derived.
    • A direct relationship between energy dissipation rate and computation rate was established.
    • A novel generalized Clausius principle was presented.

    Conclusions:

    • Error correction in reversible computing inherently involves energy dissipation.
    • Effective noise temperature is a key parameter in understanding these thermodynamic costs.
    • The findings contribute to the theoretical foundation of energy-efficient computation.