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However, as the heating is intensified, at a certain well-defined temperature gradient convection cells suddenly appear spontaneously. As can be seen in Fig. 14, the cells are very regular. This corresponds to a high degree of molecular organization when energy is transferred from thermal agitation to macroscopic convection currents. 1 Boltzmann s ordering principle would assign almost zero probability to such an occurrence and is plainly incapable of describing a phenomenon of this type. We may imagine that there 21 Fig.

For box 1, we have the following kinetic equations: A + X:J Y X - (B + DXj^ + D X( X 2 - χ χ) (16a) Β Χλ - X^ Υ Χ + D Y( Y 2 - Υλ) 26 and for box 2 : νχ& A + x 2 Y 2 - (Β + i)x 2 + dF λ x 2) (16b) dY. dF" B X 2 " X 2 Y 2 + D Y ( Y 1 - Y 2) , χ where the term Ε χ( Χ 2 " χ ) gives the quantity of X flowing into or out of box 1 resulting from the difference in concentration One possible steady state solution (where between X^ and Χ 2 · X 1 # X 2 , Y«L and Y 2 do not change in time) is, as easily verified: X± = X2 = A Y Y l = 2 = B A/ (16c) It has been shown that the system adopts this state in region I of Fig.

For box 1, we have the following kinetic equations: A + X:J Y X - (B + DXj^ + D X( X 2 - χ χ) (16a) Β Χλ - X^ Υ Χ + D Y( Y 2 - Υλ) 26 and for box 2 : νχ& A + x 2 Y 2 - (Β + i)x 2 + dF λ x 2) (16b) dY. dF" B X 2 " X 2 Y 2 + D Y ( Y 1 - Y 2) , χ where the term Ε χ( Χ 2 " χ ) gives the quantity of X flowing into or out of box 1 resulting from the difference in concentration One possible steady state solution (where between X^ and Χ 2 · X 1 # X 2 , Y«L and Y 2 do not change in time) is, as easily verified: X± = X2 = A Y Y l = 2 = B A/ (16c) It has been shown that the system adopts this state in region I of Fig.