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In the presence of a field which breaks time-reversal symmetry (such as a magnetic field) equivalent theorems may be derived where one reverses the direction of the field during the backward protocol.
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In the presence of a field which breaks time-reversal symmetry (such as a magnetic field) equivalent theorems may be derived where one reverses the direction of the field during the backward protocol.
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Note that Eq. 9 is valid for the free energy consistent with the given constraints, e.g., the free energy FTS may be either Helmohltz' free energy or Gibbs' free energy depending on the constant temperature-volume processes or constant temperature-pressure processes, respectively.
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Note that Eq. 9 is valid for the free energy consistent with the given constraints, e.g., the free energy FTS may be either Helmohltz' free energy or Gibbs' free energy depending on the constant temperature-volume processes or constant temperature-pressure processes, respectively.
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The effect of local heating is expected to be largest in 1D, since heat diffuses less effectively than in higher dimensions.
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The effect of local heating is expected to be largest in 1D, since heat diffuses less effectively than in higher dimensions.
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33
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We take the CS large enough so that the local heating has a negligible effect on the total energy of the CS.
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We take the CS large enough so that the local heating has a negligible effect on the total energy of the CS.
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