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Related Concept Videos

Free Energy Changes for Nonstandard States03:25

Free Energy Changes for Nonstandard States

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The free energy change for a process taking place with reactants and products present under nonstandard conditions (pressures other than 1 bar; concentrations other than 1 M) is related to the standard free energy change according to this equation:
 
where R is the gas constant (8.314 J/K·mol), T is the absolute temperature in kelvin, and Q is the reaction quotient. This equation may be used to predict the spontaneity of a process under any given set of conditions.
Reaction Quotient...
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Calculating Standard Free Energy Changes02:49

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The free energy change for a reaction that occurs under the standard conditions of 1 bar pressure and at 298 K is called the standard free energy change. Since free energy is a state function, its value depends only on the conditions of the initial and final states of the system. A convenient and common approach to the calculation of free energy changes for physical and chemical reactions is by use of widely available compilations of standard state thermodynamic data. One method involves the...
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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.
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Fermi Level Dynamics01:12

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The vacuum level denotes the energy threshold required for an electron to escape from a material surface. It is usually positioned above the conduction band of a semiconductor and acts as a benchmark for comparing electron energies within various materials.
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The work...
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Thermodynamic Potentials01:26

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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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Free Energy and Equilibrium00:55

Free Energy and Equilibrium

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The free energy change for a process may be viewed as a measure of its driving force. A negative value for ΔG represents a driving force for the process in the forward direction, while a positive value represents a driving force for the process in the reverse direction. When ΔG is zero, the forward and reverse driving forces are equal, and the process occurs in both directions at the same rate (the system is at equilibrium).
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Computing Free Energies with Fluctuation Relations on Quantum Computers.

Lindsay Bassman Oftelie1, Katherine Klymko1, Diyi Liu2

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Summary
This summary is machine-generated.

This study introduces a quantum algorithm to calculate free energy differences in quantum systems using the Jarzynski equality. This method offers a path for quantum computing to tackle complex thermodynamic problems in science.

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Area of Science:

  • Thermodynamics
  • Quantum Mechanics
  • Computational Physics

Background:

  • Free energy is a key thermodynamic property for predicting system behavior.
  • Computing free energies is challenging, especially for quantum systems.
  • Classical computation of quantum system free energies is often intractable.

Purpose of the Study:

  • To develop an efficient algorithm for computing free energy differences in quantum systems.
  • To leverage quantum computing for thermodynamic calculations.
  • To explore the application of fluctuation relations on quantum hardware.

Main Methods:

  • Utilized the Jarzynski equality, a fluctuation relation.
  • Developed a quantum algorithm for approximating free energy differences.
  • Performed simulations on a real quantum processor using the transverse field Ising model.

Main Results:

  • Presented a novel quantum algorithm for approximating free energy differences.
  • Analyzed conditions for exactness and upper bounds of the approximation.
  • Successfully demonstrated a proof of concept on quantum hardware.

Conclusions:

  • The developed algorithm enables free energy difference computation for quantum systems on quantum computers.
  • This approach has the potential to advance various fields in natural sciences.
  • Future improvements in quantum hardware will enhance the applicability of this method.