THERMODYNAMICS OF BIOCHEMICAL REACTIONS

By MARY HERNANDEZ

CONTENTS INTRODUCTION LOCAL EQUILIBRIUM FLUCTUATIONS PHYSICAL MEANING OF THE ENTROPY CHANGES APPLICATION TO THERMODYNAMICS PROBLEMS REFERENCES MICROSCOPIC REVERSIBILITY PROBABILITY DISTRIBUTIONS ONSAGER’S RECIPROCITY RELATIONS FLUCTUATION-DISSIPATION THEOREM LANGEVIN EQUATION BROWNIAN MOTION ONE-DIMENSIONAL LANGEVIN EQUATION GENERALIZED LANGEVIN EQUATION FOKKER-PLANCK EQUATION MARKOV PROCESSES DERIVATION OF THE FOKKER-PLANCK EQUATION GENERAL SOLUTION OF THE FPE “VIOLATION” OF THE FD THEOREM WIENER’S PROCESS STOCHASTIC DIFFERENTIAL CALCULUS ITO’S STOCHASTIC CALCULUS STRATONOVICH’S STOCHASTIC CALCULUS STOCHASTIC MECHANICS PATH INTEGRALS FREE BROWNIAN MOTION BROWNIAN MOTION IN A FIELD OF FORCE MINIMUM PATH LINEAR CASE UNIFORM FLOW FIELD HARMONIC OSCILLATOR SIMPLE SHEAR FLOW BALANCE EQUATIONS GENERAL BALANCE EQUATION CONSERVATION OF MASS CONSERVATION OF CHEMICAL SPECIES CONSERVATION OF MOMENTUM CONSERVATION OF ENERGY CONSERVATION OF ANGULAR MOMENTUM ENTROPY EQUATION CONSTITUTIVE RELATIONS APPLYING THE RECIPROCITY RELATIONS SINGLE-PHASE FLUID BINARY MIXTURES: THERMO-DIFFUSION METALS: THERMO-ELECTRICITY DIFFUSION IN MULTICOMPONENT MIXTURES NON ISOTROPIC MEDIA FLUCTUATIONS OF THERMODYNAMIC FLUXES MULTIPHASE FLOWS EQUILIBRIUM CONDITIONS FREE ENERGY AND VAN DER WAALS’ EQUATION CRITICAL POINT COEXISTENCE AND SPINODAL CURVES DIFFUSE INTERFACES INTERFACIAL REGIONS GENERALIZED CHEMICAL POTENTIAL SURFACE TENSION BOUNDARY CONDITIONS EQUATIONS OF MOTION MINIMUM ACTION PRINCIPLE KORTEWEG STRESSES DISSIPATIVE TERMS MULTICOMPONENT SYSTEMS INCOMPRESSIBLE BINARY MIXTURES SYMMETRIC REGULAR BINARY MIXTURES EFFECTIVE TRANSPORT PROPERTIES 10 1 HEAT CONDUCTIVITY OF COMPOSITE SOLIDS 10 2 EFFECTIVE VISCOSITY OF SUSPENSIONS 10 3 PERMEABILITY OF POROUS MEDIA 10 4 DIFFUSION IN COLLOIDAL SUSPENSIONS 10 4 1 SELF DIFFUSION 10 4 2 GRADIENT DIFFUSION 10 5 DYNAMIC DE?NITION OF TRANSPORT COEF?CIENTS 10 5 1 HEAT AND MASS DIFFUSION 10 5 2 MOMENTUM DIFFUSION 10 6 PROBLEMS MULTIPLE SCALE ANALYSIS 11 1 VOLUME AVERAGING 11 1 1 ONSAGER’S RECIPROCITY RELATIONS 11 1 2 BRINKMAN’S EQUATION 11 2 MULTIPLE SCALE ANALYSIS 11 2 1 SMOLUCHOWSKY’S EQUATION 11 2 2 TAYLOR DISPERSION 11 2 3 MORE ON TAYLOR DISPERSION 11 3 METHOD OF HOMOGENIZATION 11 3 1 TRANSPORT IN HOMOGENEOUS RANDOM VELOCITY FIELDS 11 3 2 DISPERSION IN NONHOMOGENEOUS RANDOM FIELDS 11 3 3 LAGRANGIAN APPROACH 11 4 PROBLEMS