Heat: Difference between revisions

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:<math>\delta Q= TdS</math>
:<math>\delta Q= TdS</math>


where ''T'' is the [[temperature]] and ''S'' is the [[entropy]].
where ''T'' is the [[temperature]] and ''S'' is the [[entropy]]. <math>\delta</math> represents an [http://mathworld.wolfram.com/InexactDifferential.html inexact differential], indicating that the resulting value depends on the path taken. This equation is an equality when the process is reversible, i.e., the system evolves through a succession of equilibrium states. If the process is irreversible one has
==Heat equation==
 
==Heat in one dimension==
:<math>\delta Q < TdS</math>
*[http://dx.doi.org/10.1038/421327a Roberto Livi and Stefano Lepri "Heat in one dimension", Nature '''421''' p. 327 (2003)]
*[http://dx.doi.org/10.1103/PhysRevLett.89.200601 Onuttom Narayan and Sriram Ramaswamy "Anomalous Heat Conduction in One-Dimensional Momentum-Conserving Systems", Physical Review Letters '''89''' 200601 (2002)]
==See also==
==See also==
*[[First law of thermodynamics]]
*[[First law of thermodynamics]]
*[[Second law of thermodynamics]]
*[[Heat flow]]
==References==
==References==
<references/>
;Related reading
*[http://dx.doi.org/10.1021/ed047p357 Leonard K. Nash "Reversible and irreversible heating and cooling", Journal of Chemical Education '''47''' pp. 357-361 (1970)]
[[category: classical mechanics]]
[[category: classical mechanics]]
[[category: statistical mechanics]]
[[category: statistical mechanics]]

Latest revision as of 10:24, 5 July 2011

The heat, Q is given by

where T is the temperature and S is the entropy. Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \delta} represents an inexact differential, indicating that the resulting value depends on the path taken. This equation is an equality when the process is reversible, i.e., the system evolves through a succession of equilibrium states. If the process is irreversible one has

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \delta Q < TdS}

See also[edit]

References[edit]

Related reading