We would like to thank V. Balaji, Leo Donner, Kerry Emanuel, and Steve Klein for their helpful conversations on this topic.
Carnot, S., 1824: Reflections on the Motive Power of Fire. And Other Papers on the Second Law of Thermodynamics by E. Clapeyron and R. Clausius. Reprint, Gloucester, 1977, 152 pp.
Craig, G. C., 1996: Dimensional analysis of a convecting atmosphere in equilibrium with external forcing. Quart. J. Roy. Meteor. Soc, 122 , 1963–1967.
Emanuel, K. A., 1986: An air–sea interaction theory for tropical cyclones. Part I: Steady-state maintenance. J. Atmos. Sci, 43 , 585–604.
Held, I. M., R. S. Hemler, and V. Ramaswamy, 1993: Radiative–convective equilibrium with explicit two-dimensional moist convection. J. Atmos. Sci, 50 , 3909–3927.
Klemp, J. B., and R. B. Wilhelmson, 1978: The simulation of three-dimensional convective storm dynamics. J. Atmos. Sci, 35 , 1070–1096.
Li, J., and P. Chýlek, 1994: Entropy in climate models. Part II: Horizontal structure of atmospheric entropy production. J. Atmos. Sci, 51 , 1702–1708.
Li, J., P. Chýlek, and G. B. Lesins, 1994: Entropy in climate models. Part I: Vertical structure of atmospheric entropy production. J. Atmos. Sci, 51 , 1691–1701.
Lipps, F. B., and R. S. Hemler, 1982: A scale analysis of deep moist convection and some related numerical calculations. J. Atmos. Sci, 39 , 2192–2210.
Lipps, F. B., and R. S. Hemler, 1986: Numerical simulation of deep tropical convection associated with large-scale convergence. J. Atmos. Sci, 43 , 1796–2210.
Lipps, F. B., and R. S. Hemler, 1988: Numerical modeling of a line of towering cumulus on day 226 of GATE. J. Atmos. Sci, 45 , 2428–2444.
Lorenz, E. N., 1967: The nature and theory of the general circulation of the atmosphere. World Meteorological Organization, 161 pp.
Pauluis, O., and I. M. Held, 2002: Entropy budget of an atmosphere in radiative–convective equilibrium. Part II: Latent heat transport and moist processes. J. Atmos. Sci, 59 , 140–149.
Shutts, G. J., and M. E. B. Gray, 1999: Numerical simulations of convective equilibrium under prescribed forcing. Quart. J. Roy. Meteor. Soc, 125 , 2767–2787.
Tao, W-K., J. Simpson, and S-T. Soong, 1987: Statistical properties of a cloud ensemble. A numerical study. J. Atmos. Sci, 44 , 3175–3187.
Tao, W-K., J. Simpson, C. H. Sui, B. Zhou, K. M. Lau, and M. Moncrieff, 1999:: Equilibrium states simulated by cloud-resolving models. J. Atmos. Sci, 56 , 3129–3139.
Tompkins, A. M., 2000: The impact of dimensionality on long-term cloud-resolving model simulations. Mon. Wea. Rev, 128 , 1521–1535.
Tompkins, A. M., and G. C. Craig, 1998: Radiative–convective equilibrium in a three-dimensional cloud-ensemble model. Quart. J. Roy. Meteor. Soc, 124 , 2073–2097.
Xu, K-M., and D. A. Randall, 1999: A sensitivity study of radiative–convective equilibrium in the Tropics with a convection-resolving model. J. Atmos. Sci, 56 , 3385–3399.