Your browser does not fully support modern features. Please upgrade for a smoother experience.
Submitted Successfully!
+1 credit
Thank you for your contribution! You can also upload a video entry or images related to this topic.
For video creation, please contact our Academic Video Service.
| Version | Summary | Created by | Modification | Content Size | Created at | Operation |
|---|---|---|---|---|---|---|
| 1 | Dean Liu | -- | 1181 | 2022-11-02 01:49:55 |
Video Upload Options
We provide professional Academic Video Service to translate complex research into visually appealing presentations. Would you like to try it?
Cite
If you have any further questions, please contact Encyclopedia Editorial Office.
HandWiki. Free Entropy. Encyclopedia. Available online: https://encyclopedia.pub/entry/32898 (accessed on 21 September 2026).
HandWiki. Free Entropy. Encyclopedia. Available at: https://encyclopedia.pub/entry/32898. Accessed September 21, 2026.
HandWiki. "Free Entropy" Encyclopedia, https://encyclopedia.pub/entry/32898 (accessed September 21, 2026).
HandWiki. (2022, November 04). Free Entropy. In Encyclopedia. https://encyclopedia.pub/entry/32898
HandWiki. "Free Entropy." Encyclopedia. Web. 04 November, 2022.
Copy Citation
A thermodynamic free entropy is an entropic thermodynamic potential analogous to the free energy. Also known as a Massieu, Planck, or Massieu–Planck potentials (or functions), or (rarely) free information. In statistical mechanics, free entropies frequently appear as the logarithm of a partition function. The Onsager reciprocal relations in particular, are developed in terms of entropic potentials. In mathematics, free entropy means something quite different: it is a generalization of entropy defined in the subject of free probability. A free entropy is generated by a Legendre transformation of the entropy. The different potentials correspond to different constraints to which the system may be subjected.
free entropy
potential
entropy
References
- Antoni Planes; Eduard Vives (2000-10-24). "Entropic variables and Massieu-Planck functions". Entropic Formulation of Statistical Mechanics. Universitat de Barcelona. http://www.ecm.ub.es/condensed/eduard/papers/massieu/node2.html.
- T. Wada; A.M. Scarfone (December 2004). "Connections between Tsallis' formalisms employing the standard linear average energy and ones employing the normalized q-average energy". Physics Letters A 335 (5–6): 351–362. doi:10.1016/j.physleta.2004.12.054. Bibcode: 2005PhLA..335..351W. https://dx.doi.org/10.1016%2Fj.physleta.2004.12.054
- The Collected Papers of Peter J. W. Debye. New York, New York: Interscience Publishers, Inc.. 1954.
More
Information
Subjects:
Thermodynamics
Contributor
MDPI registered users' name will be linked to their SciProfiles pages. To register with us, please refer to https://encyclopedia.pub/register
:
View Times:
1.1K
Entry Collection:
HandWiki
Revision:
1 time
(View History)
Update Date:
04 Nov 2022
Table of Contents
Notice
You are not a member of the advisory board for this topic. If you want to update advisory board member profile, please contact office@encyclopedia.pub.
OK
Confirm
Only members of the Encyclopedia advisory board for this topic are allowed to note entries. Would you like to become an advisory board member of the Encyclopedia?
Yes
No
${ textCharacter }/${ maxCharacter }
Submit
Cancel
Back
Comments
${ item }
|
${ item.createdUser.fullName }
${ item.createdAt }
${ item.vote }
${ item.reply }
Delete
${ reply.createdUser.fullName }
${ reply.createdAt }
${ reply.vote }
Delete
There is no reply to this comment~
${ item.replyTextCharacter }/${ item.replyMaxCharacter }
Submit
Cancel
More
No more~
There is no comment~
${ textCharacter }/${ maxCharacter }
Submit
Cancel
${ selectedItem.replyTextCharacter }/${ selectedItem.replyMaxCharacter }
Submit
Cancel
Confirm
Are you sure to Delete?
Yes
No