PROTEIN SYNTHESIS AND TISSUE INTEGRITY IN THE CORNEA OF THE DEVELOPING CHICK EMBRYO

represent the factors depending on p in equations (7) and (25), become large for large values of p. Hence the linearized approximation becomes relatively poorer for large values of momenta. Summary.-In a previous publication' it was shown that it is possible to reduce the Boltzmann-Hilbert integral equation, occurring in the classical problem of transport phenonena in a rigid-sphere gas model, into a differential equation. In the case of self-diffusion treated there, this differential equation was of the second order, and its solution yielded a value for the coefficient of self-diffusion which was in good agreement with the value obtained by the variational Chapman-Enskog method. In this paper the method is applied to the problems of heat conduction and viscosity. In both cases the differential equations for the respective distribution functions are of the fourth order. The solution of these equations leads to values for the coefficients of heat conduction and of viscosity which are in good agreement with the values obtained by the Chapman-Enskog method. From the tabulated values of the distribution functions it follows that the linearized approximation becomes relatively poorer in the outer regions of momentum-space. A differential equation of the fourth order for the distribution function in the case of viscosity was derived by L. Boltzmann.3 Boltzmann's differential equation is incorrect as it stands because of errors that crept into the last stages of his derivation. Boltzmann did not integrate the differential equation. To the authors' knowledge the differential equation governing the distribution function in the case of heat conduction, which is derived and solved in this paper, is new. 1 C. L. Pekeris, these PROCEEDINGS, 41, 661, 1955. This paper will be referred to as "Paper I." 2 Ibid., eq. (18).