2011
DOI: 10.1088/0143-0807/32/2/002
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On the Clausius equality and inequality

Abstract: This paper deals with subtleties and misunderstandings regarding the Clausius relation. We start by demonstrating the relation in a new and simple way, explaining clearly the assumptions made and the extent of its validity. Then follows a detailed discussion of some confusions and mistakes often found in the literature. The addressed points include the issue of temperature in the Clausius relation and closely related concepts, such as heat, reversibility and reservoir. The ideas presented in this study are pri… Show more

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Cited by 11 publications
(54 citation statements)
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“…The reservoir concept imposes an asymmetry on the system-surroundings interaction, which is a drawback of having unique definitions of heat, work, and entropy flow. This is consistent with Clausius' relation [7]; indeed, as Q T S d , e e d =for a cyclic process, that is, one in which the surroundings drive the system back to its initial state, we have…”
Section: Irreversibility In the System And Lost Worksupporting
confidence: 86%
“…The reservoir concept imposes an asymmetry on the system-surroundings interaction, which is a drawback of having unique definitions of heat, work, and entropy flow. This is consistent with Clausius' relation [7]; indeed, as Q T S d , e e d =for a cyclic process, that is, one in which the surroundings drive the system back to its initial state, we have…”
Section: Irreversibility In the System And Lost Worksupporting
confidence: 86%
“…which, from (9b) and (10), can also be written as where the former sign corresponds to reversible processes and the latter to irreversible ones [10].…”
Section: **mentioning
confidence: 99%
“…e e e e which is a very interesting and powerful relation as it encompasses state variables of both system and surroundings [6][7][8]. Considering that surroundings consist of heat and/or work reservoirs [7], each term in the above relation has a precise meaning as follows [7,8]: the first and second terms in the rhs of (3) are, respectively, the work δW and heat δQ…”
Section: Reversible Versus Quasistaticmentioning
confidence: 99%