Abstract
This short chapter deals with the heat from different levels of description. We shall call the heat defined by the stochastic energetics mesoscopic heat and the heat defined by conventional statistical thermodynamics calorimetric heat. The latter should measured by conventional calorimetric methods. The main question of this chapter is to understand the connection between these two types. Simple thought experiments will help clarify the problem. “Work against a viscous medium” can be defined with the aid of the notion of transformation of the heat from one scale to another scale.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
G. Goupier, M. Saint Jean, C. Guthmann, Phys. Rev. E 73, 031112 (2006)
I.P. Rouse, J. Chem. Phys. 21, 1272 (1953)
B.H. Zimm, J. Chem. Phys. 24, 269 (1956)
V. Lisy, J. Tothova, A.V. Zatovsky, J. Chem. Phys. 121, 10699 (2004)
T. Schmiedl, U. Seifert, J. Chem. Phys. 126, 044101 (2007)
N.G. van Kampen, Stochastic Processes in Physics and Chemistry, Revised ed. (Elsevier Science, 2001)
V. Blickle, T. Speck, L. Helden, U. Seifert, C. Bechinger, Phys. Rev. Lett. 96, 070603 (2006)
S. Joubaud, N.B. Garnier, S. Ciliberto, Journal of Statistical Mechanics 2007/09/, P09018 (2007)
A.E. Allahverdyan, T.M. Nieuwenhuizen, Phys. Rev. E 62, 845 (2000)
K. Sekimoto, Phys. Rev. E 76, 060103(R) (2007)
R.A. Blythe, Phys. Rev. Lett. 100, 010601 (2008)
S. Toyabe, T.N.H.-R. Jiang, Y. Murayama, M. Sano, Phys. Rev. E 75, 011122 (2007)
S. Toyabe, M. Sano, Phys. Rev. E 77, 041403 (2008)
L.D. Landau, E.M. Lifshitz, Fluid Mechanics (Course of Theoretical Physics, Volume 6), 2nd edn. (Reed Educational and Professional Publishing Ltd, Oxford, 2000)
E.J. Hinch, J. Fluid Mech. 72, 499 (1975)
A. Rahman, Phys. Rev. 136, A405 (1964)
B.J. Alder, T.E. Wainwright, Phys. Rev. Lett. 18, 988 (1967)
B. Lukić et al., Phys. Rev. Lett. 95, 160601 (2005)
B. Lukić et al., Phys. Rev. E 76, 011112 (2007)
H.J.H. Clercx, P.P.J.M. Schram, Phys. Rev. A 46, 1942 (1992)
V. Vladimirsky, Y. Terletzky, Zh. Eksp. Teor. Fiz. 15, 259 (1945)
A.V. Zatovsky, Izv. Vuzov. Fizika 10, 13 (1969)
E.H. Hauge, A. Martin-Löf, J. Stat. Phys. 7, 259 (1973).
V. Vladimirsky, Y. Terletzky, Zhur. Eksp Teor. Fiz. 15, 259 (1945)
V. Lisy, J. Tothova, cond-mat/0410222
C. Van den Broeck, R. Kawai, P. Meurs, Phys. Rev. Lett. 93, 090601 (2004)
C. Van den Broeck, R. Kawai, Phys. Rev. Lett. 96, 210601 (2006)
H. Itoh et al., Nature 427, 465 (2004).
H. Noji, R. Yasuda, M. Yoshida, K. Kinosita Jr., Nature 386, 299 (1997)
R. Yasuda, H. Noji, K. Kinosita, Jr. M. Yoshida, Cell 93, 1117 (1998)
K. Sekimoto, J. Phys. Soc. Jpn. 66, 1234 (1997)
H. Wang, G. Oster, Europhys. Lett. 57, 134 (2002)
D. Suzuki, T. Munakata, Phys. Rev. E 68, 021906 (2003)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Sekimoto, K. (2010). Heat Viewed at Different Scales. In: Stochastic Energetics. Lecture Notes in Physics, vol 799. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-05411-2_6
Download citation
DOI: https://doi.org/10.1007/978-3-642-05411-2_6
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-05410-5
Online ISBN: 978-3-642-05411-2
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)