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Titolo:
Second differential of the entropy as a criterion for the stability in low-dimensional climate models
Autore:
Pujol, T; Llebot, JE;
Indirizzi:
Univ Girona, Dept Fis, Girona 17071, Catalonia, Spain Univ Girona Girona Catalonia Spain 17071 , Girona 17071, Catalonia, Spain Univ Autonoma Barcelona, E-08193 Barcelona, Spain Univ Autonoma BarcelonaBarcelona Spain E-08193 E-08193 Barcelona, Spain
Titolo Testata:
QUARTERLY JOURNAL OF THE ROYAL METEOROLOGICAL SOCIETY
fascicolo: 553, volume: 125, anno: 1999,
parte:, A
pagine: 91 - 106
SICI:
0035-9009(199901)125:553<91:SDOTEA>2.0.ZU;2-B
Fonte:
ISI
Lingua:
ENG
Soggetto:
RADIATION; THERMODYNAMICS;
Keywords:
climatic stability; extremal entropy production; thermodynamic climatic models;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Physical, Chemical & Earth Sciences
Citazioni:
30
Recensione:
Indirizzi per estratti:
Indirizzo: Pujol, T Univ Girona, Dept Fis, Campus Montilivi, Girona 17071, Catalonia,Spain Univ Girona Campus Montilivi Girona Catalonia Spain 17071 , Spain
Citazione:
T. Pujol e J.E. Llebot, "Second differential of the entropy as a criterion for the stability in low-dimensional climate models", Q J R METEO, 125(553), 1999, pp. 91-106

Abstract

The second differential of the entropy is used for analysing the stabilityof a thermodynamic climatic model. A delay time for the heat flux is introduced whereby it becomes an independent variable. Two different expressionsfor the second differential of the entropy are used: one follows classicalirreversible thermodynamics theory; the second is related to the introduction of response time and is due to the extended irreversible thermodynamicstheory. The second differential of the classical entropy leads to unstablesolutions for high values of delay times. The extended expression always implies stable states for an ice-free earth. When the ice-albedo feedback isincluded, a discontinuous distribution of stable states is found for high response times. Following the thermodynamic analysis of the model, the maximum rates of entropy production at the steady state are obtained. A latitudinally isothermal earth produces the extremum in global entropy production. The material contribution to entropy production (by which we mean the production of entropy by material transport of heat) is a maximum when the latitudinal distribution of temperatures becomes less homogeneous than present values.

ASDD Area Sistemi Dipartimentali e Documentali, Università di Bologna, Catalogo delle riviste ed altri periodici
Documento generato il 14/07/20 alle ore 10:14:35