Copyright © 2009 R.R. Dickerson

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Copyright © 2009 R.R. Dickerson Steady State Analysis AOSC 620 Fall 2015 Definition: Steady State – the condition where the concentration of a substance is unchanging in time. This implies that the production and loss rates are equal. A system in thermodynamic equilibrium is necessarily in steady state , but a system in steady state is not necessarily in thermodynamic equilibrium. More interesting is the occurrence of quasi-steady state – where the overall rate of change is small compared with the production and loss terms. This applies to many atmospheric and oceanic species of importance to climate. Copyright © 2009 R.R. Dickerson

Copyright © 2009 R.R. Dickerson The first theoretical derivation of quasi-steady state appears in Global Biogeochemical Cycles in an article by Cicerone and Oremland (1988). Consider a gas in the atmosphere with a mixing ratio that varies in time and space: [ ] = f(x, y, z, t) And the molecular number density is M = f((x, y, z, t). Copyright © 2009 R.R. Dickerson

Copyright © 2009 R.R. Dickerson

Copyright © 2009 R.R. Dickerson

Copyright © 2009 R.R. Dickerson

Copyright © 2009 R.R. Dickerson

Copyright © 2009 R.R. Dickerson

Copyright © 2009 R.R. Dickerson

Copyright © 2009 R.R. Dickerson

Copyright © 2009 R.R. Dickerson

Copyright © 2009 R.R. Dickerson

Copyright © 2009 R.R. Dickerson [O]ss = j1[NO2]/k2[O2][M] Copyright © 2009 R.R. Dickerson

Copyright © 2009 R.R. Dickerson We’ll see where this comes from later. Copyright © 2009 R.R. Dickerson

Copyright © 2009 R.R. Dickerson

Copyright © 2009 R.R. Dickerson

Copyright © 2009 R.R. Dickerson

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