Rate coefficients can fluctuate in statically and dynamically disordered kinetics. Here, we relate the rate coefficient for an irreversibly decaying population to the Fisher information. From this relationship we define kinetic versions of statistical-length squared and divergence that measure cumulative fluctuations in the rate coefficient. We show the difference between these kinetic quantiti...

Dynamics of the relaxation of a perturbed thermodynamic system to equilibrium is determined by the generalized eigenvalue equation (K̃ + λS)yβ = 0. Here S αβ is a matrix of linear response coefficients and K̃ is a matrix of kinetic coefficients. We describe LeChatelier’s Principle and both its static and dynamical symmetries, and treat cases in which there are multiple relaxation channels. The tr...

ABSTRAcr. We consider a heat conducting incompressible micropolar fluid at rest and filling a closed rigid container. We account for the heat generated due to viscous dissipation and show that the kinetic and the thermal energy of arbitrary disturbances of the rest state decays exponentially. The rate of decay depends upon the viscosity coefficients, heat conduction coefficients and the size an...

The complex analytic methods have found a wide range of applications in the study of multiplicity-free representations. This article discusses, in particular, its applications to the question of restricting highest weight modules with respect to reductive symmetric pairs. We present a number of multiplicity-free branching theorems that include the multiplicity-free property of some of known res...

The current status of transport coefficients in relativistic field theories at high temperature is reviewed. I contrast weak coupling results obtained using kinetic theory/diagrammatic techniques with strong coupling results obtained using gauge/gravity duality, and describe the recent developments in extracting transport coefficients and spectral functions from lattice QCD simulations. The fat...

The response functions for small spatial perturbations of a homogeneous granular fluid have been described recently. In appropriate dimensionless variables, they have the form of stationary state time correlation functions. Here, these functions are expressed in terms of reduced single particle functions that are expected to obey a linear kinetic equation. The functional assumption required for...

Friction analysis is proposed as the application of general control analysis to single enzymes to describe the control of elementary kinetic steps on the overall catalytic rate. For each transition, a friction coefficient is defined that measures the sensitivity of the turnover rate to the free energy of the transition state complex of the transition. The latter is captured in a single property...

A stochastic model of the revised Enskog equation is considered. A choice of the smearing function suggested by the work of Leegwater ([1]) is used to apply the model to the repulsive part of the Lennard-Jones potential and the inverse-power soft-sphere potential. The virial coefficients obtained from the equilibrium properties of the models are in excellent agreement with the known exact coeff...

In this research, adsorption of dibenzothiophene (DBT) as a model of sulfur containing material has been studied by Pb exchanged Y-zeolite under different experimental conditions. The adsorption was kinetically fast and high adsorption capacity was obtained. The equilibrium adsorption data were analyzed using Langmuir and Freunlich isotherm models. The corresponding parameters and correlation c...