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<front>
<journal-meta>
<journal-id journal-id-type="publisher">ACPD</journal-id>
<journal-title-group>
<journal-title>Atmospheric Chemistry and Physics Discussions</journal-title>
<abbrev-journal-title abbrev-type="publisher">ACPD</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1680-7375</issn>
<publisher><publisher-name>Copernicus GmbH</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.5194/acpd-10-3699-2010</article-id>
<title-group>
<article-title>Thermodynamics of climate change: generalized sensitivities</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Lucarini</surname>
<given-names>V.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Fraedrich</surname>
<given-names>K.</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Lunkeit</surname>
<given-names>F.</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
</contrib>
</contrib-group><aff id="aff1">
<label>1</label>
<addr-line>Department of Meteorology, University of Reading, Earley Gate, P.O. Box 243, Reading RG6 6BB, UK</addr-line>
</aff>
<aff id="aff2">
<label>2</label>
<addr-line>Department of Mathematics, University of Reading, Whiteknights, P.O. Box 220, Reading RG6 6AX, UK</addr-line>
</aff>
<aff id="aff3">
<label>3</label>
<addr-line>Department of Physics, University of Bologna, Viale Berti Pichat 6/2, 40127 Bologna, Italy</addr-line>
</aff>
<aff id="aff4">
<label>4</label>
<addr-line>Meteorologisches Institut, Klima Campus, University of Hamburg, Grindelberg 5, 20144 Hamburg, Germany</addr-line>
</aff>
<pub-date pub-type="epub">
<day>09</day>
<month>02</month>
<year>2010</year>
</pub-date>
<volume>10</volume>
<issue>2</issue>
<fpage>3699</fpage>
<lpage>3715</lpage>
<permissions>
<license xlink:type="simple">
<license-p>This is an open-access article ditributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.</license-p>
</license>
</permissions>
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<abstract>
<p>Using a recent theoretical approach, we study how the impact of global
warming of the thermodynamics of the climate system by performing
experiments with a simplified yet Earth-like climate model. In addition to
the globally averaged surface temperature, the intensity of the Lorenz
energy cycle, the Carnot efficiency, the material entropy production and the
degree of irreversibility of the system are linear with the logarithm of the
CO&lt;sub&gt;2&lt;/sub&gt; concentration. These generalized sensitivities suggest that the
climate becomes less efficient, more irreversible, and features higher
entropy production as it becomes warmer.</p>
</abstract>
<counts><page-count count="17"/></counts>
</article-meta>
</front>
<body/>
<back>
<ref-list>
<title>References</title>
<ref id="ref1">
<label>1</label><mixed-citation publication-type="other" xlink:type="simple"> Becker, E.: Frictional heating in global climate models, Mon. Wea. Rev., 131, 508–520, 2003. %22 </mixed-citation>
</ref>
<ref id="ref2">
<label>2</label><mixed-citation publication-type="other" xlink:type="simple"> Danabasoglu, G. and Gent, P. R.: Equilibrium Climate Sensitivity: is it accurate to use a slab ocean model?, J. Climate, 22, 2494–2499, 2009. %8 </mixed-citation>
</ref>
<ref id="ref3">
<label>3</label><mixed-citation publication-type="other" xlink:type="simple"> Dewar, R.: Maximum entropy production and the fluctuation theorem, J. Phys. A: Math. Gen., 38, L371–L381, 2005. %16 </mixed-citation>
</ref>
<ref id="ref4">
<label>4</label><mixed-citation publication-type="other" xlink:type="simple"> Fraedrich, K.: Simple Climate Models, in: Progress in Probability 49, , Birkhäuser, Berlin, 65–110, 2001. %20 </mixed-citation>
</ref>
<ref id="ref5">
<label>5</label><mixed-citation publication-type="other" xlink:type="simple"> Fraedrich, K., Jansen, H., Kirk, E., Luksch, U., and Lunkeit, F.: The planet simulator: towards a user friendly model, Met. Zeit., 14, 299–304, 2005. %21 </mixed-citation>
</ref>
<ref id="ref6">
<label>6</label><mixed-citation publication-type="other" xlink:type="simple"> Fraedrich, K. and Lunkeit, F.: Diagnosing the entropy budget of a climate model. Tellus A 60, 921–931, 2008. %9 </mixed-citation>
</ref>
<ref id="ref7">
<label>7</label><mixed-citation publication-type="other" xlink:type="simple"> Grinstein, G. and Linsker, R.: Comments on a derivation and application of the &quot;maximum entropy production&quot; principle, J. Phys. A: Math. Theor., 40, 9717–9720, 2007. %14 </mixed-citation>
</ref>
<ref id="ref8">
<label>8</label><mixed-citation publication-type="other" xlink:type="simple"> Held, I. M.: The Gap between Simulation and Understanding in Climate Modeling, Bull. Amer. Meteor. Soc., 86, 1609–1614, 2005. %19 </mixed-citation>
</ref>
<ref id="ref9">
<label>9</label><mixed-citation publication-type="other" xlink:type="simple"> IPCC: The Physical Science Basis, Contribution of Working Group I to the Fourth Assessment Report of the Intergovernmental Panel on Climate Change, Cambridge University Press, Cambridge, 2007. %6 </mixed-citation>
</ref>
<ref id="ref10">
<label>10</label><mixed-citation publication-type="other" xlink:type="simple"> Johnson, D. R.: Entropy, the Lorenz Energy Cycle and Climate, General Circulation Model Development: Past, Present and Future, Academic Press, New York, 659–720, 2000. %11 </mixed-citation>
</ref>
<ref id="ref11">
<label>11</label><mixed-citation publication-type="other" xlink:type="simple"> Kleidon, A., Fraedrich, K., Kirk, E., and Lunkeit, F.: Maximum entropy production and the strength of boundary layer exchange in an atmospheric general circulation model, Geophys. Res. Lett., 33, L06706, doi:10.1029/2005GL025373, 2006 %10 </mixed-citation>
</ref>
<ref id="ref12">
<label>12</label><mixed-citation publication-type="other" xlink:type="simple"> Kleidon, A. and Lorenz, R. D.: Non-equilibrium thermodynamics and the production of entropy: life, Earth, and beyond, Springer, Berlin, 2005. %12 </mixed-citation>
</ref>
<ref id="ref13">
<label>13</label><mixed-citation publication-type="other" xlink:type="simple"> Kunz, T., Fraedrich, K., and Kirk, E.: Optimisation of simplified GCMs using circulation indices and maximum entropy production, Clim. Dyn., 30, 803–813, 2008. %4 </mixed-citation>
</ref>
<ref id="ref14">
<label>14</label><mixed-citation publication-type="other" xlink:type="simple"> Lorenz, E. N.: Available potential energy and teh maintenance of the general circulation, Tellus, 7, 157–167, 1955. %2 </mixed-citation>
</ref>
<ref id="ref15">
<label>15</label><mixed-citation publication-type="other" xlink:type="simple"> Lucarini, V.: Response Theory for Equilibrium and Non-Equilibrium Statistical Mechanics, Causality and Generalized Kramers-Kronig relations, J. Stat. Phys., 131, 543–558, 2008a. %15 </mixed-citation>
</ref>
<ref id="ref16">
<label>16</label><mixed-citation publication-type="other" xlink:type="simple"> Lucarini, V.: Validation of Climate Models, Encyclopedia of Global Warming and Climate Change, SAGE, Thousand Oaks, 1053–1057, 2008b. %3 </mixed-citation>
</ref>
<ref id="ref17">
<label>17</label><mixed-citation publication-type="other" xlink:type="simple"> Lucarini, V.: Evidence of dispersion relations for the nonlinear response of the Lorenz 63 system, J. Stat. Phys., 134, 381–400, 2009a. %17 </mixed-citation>
</ref>
<ref id="ref18">
<label>18</label><mixed-citation publication-type="other" xlink:type="simple"> Lucarini, V.: Thermodynamic Efficiency and Entropy Production in the Climate System, Phys. Rev. E, 80, 021118, doi:10.1103/PhysRevE.80.021118, 2009b. %18 </mixed-citation>
</ref>
<ref id="ref19">
<label>19</label><mixed-citation publication-type="other" xlink:type="simple"> Lucarini, V. and Fraedrich, K.: Symmetry-break, mixing, instability, and low frequency variability in a minimal Lorenz-like system. Phys. Rev. E, 80, 026313, doi:10.1103/PhysRevE.80.026313, 2009. %NEU </mixed-citation>
</ref>
<ref id="ref20">
<label>20</label><mixed-citation publication-type="other" xlink:type="simple"> Lucarini, V., Fraedrich, K., and Lunkeit, F.: Thermodynamic analysis of snowball earth hysteresis experiment, Efficiency, entropy production, and irreversibility, Q. J. R. Met. Soc., doi:10.1002/qj.543, 2010. %25 </mixed-citation>
</ref>
<ref id="ref21">
<label>21</label><mixed-citation publication-type="other" xlink:type="simple"> Lucarini, V. and Ragone, F.: Energetics of IPCC4AR Climate Models: Energy Balance and Meridional Enthalpy Transports, submitted to Rev. Geophys. 2010, also at arXiv:0911.5689v1. 2010. %13 </mixed-citation>
</ref>
<ref id="ref22">
<label>22</label><mixed-citation publication-type="other" xlink:type="simple"> Ozawa, H., Ohmura, A., Lorenz, R. D., and Pujol, T.: The second law of thermodynamics and the global climate system, A review of the maximum entropy production principle, Rev. Geophys., 41, 1018, doi:10.1029/2002RG000113, 2003. %7 </mixed-citation>
</ref>
<ref id="ref23">
<label>23</label><mixed-citation publication-type="other" xlink:type="simple"> Paltridge, G. W.: Climate and thermodynamic systems of maximum dissipation, Nature, 279, 630–631, 1979. %5 </mixed-citation>
</ref>
<ref id="ref24">
<label>24</label><mixed-citation publication-type="other" xlink:type="simple"> Peixoto, J. and Oort, A.: Physics of Climate, Springer, New York, 1992. </mixed-citation>
</ref>
<ref id="ref25">
<label>25</label><mixed-citation publication-type="other" xlink:type="simple"> %1 Ruelle, D.: General linear response formula in statistical mechanics, and the fluctuation-dissipation theorem far from equilibrium, Phys. Lett. A, 245, 220–224, 1998. </mixed-citation>
</ref>
</ref-list>
</back>
</article>