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That such final equilibrium state exists is dictated by the Minus-First Law. Here we see clearly the reason for assigning a higher rank to the Equilibrium Principle
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That such final equilibrium state exists is dictated by the Minus-First Law. Here we see clearly the reason for assigning a higher rank to the Equilibrium Principle.
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Equalities and inequalities: Irreversibility and the second law of thermodynamics at the nanoscale
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To be more precise, the probability density functional (PDFL)
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To be more precise, the probability density functional (PDFL)
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0 is the measure in phase space
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0 is the measure in phase space
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For the sake of clarity we remark that the Hamiltonian describing the expansion of a gas, as depicted in Figure 1, bottom, is not of this form. Our arguments however can be generalized to nonlinear couplings [12]
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For the sake of clarity we remark that the Hamiltonian describing the expansion of a gas, as depicted in Figure 1, bottom, is not of this form. Our arguments however can be generalized to nonlinear couplings [12].
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For a detailed discussion on the differences between the two work expressions we refer the readers to Section III. A in the colloquium [6]
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For a detailed discussion on the differences between the two work expressions we refer the readers to Section III. A in the colloquium [6].
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26
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84855381120
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0) under the driving protocol λ
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0) under the driving protocol λ
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Increase of Boltzmann entropy in a quantum forced harmonic oscillator
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84855390545
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In principle, one should treat the external parameter itself as a dynamical coordinate, and consider the autonomous evolution of the extended system
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In principle, one should treat the external parameter itself as a dynamical coordinate, and consider the autonomous evolution of the extended system
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