Extraction of transport coefficients from correlation functions
Abstract
In this paper we apply a new method to the calculation of transport coefficients by computer simulation of fluids. It differs from previous methods in two essential respects. Firstly, it involves the simultaneous fitting of all of the correlations among conserved hydrodynamic variables, rather than just the density or current autocorrelation function. This gives more detailed information on the hydrodynamics, and, in particular, makes it possible to separate some of the effects of viscoelasticity, which may seriously bias transport-coefficient estimates. Secondly, it is formulated in a simple way, which avoids certain complicating approximations traditionally made in computing fluid correlation functions. Results of pilot calculations for the soft-sphere viscosity agree with those of previous workers. The most conspicuous physical effect observed is a strong wave-vector dependence of the thermal diffusivity, in agreement with previous work.
- Publication:
-
Physical Review A
- Pub Date:
- February 1989
- DOI:
- 10.1103/PhysRevA.39.1298
- Bibcode:
- 1989PhRvA..39.1298L
- Keywords:
-
- Computerized Simulation;
- Correlation;
- Fluid Dynamics;
- Hydrodynamics;
- Transport Properties;
- Viscoelasticity;
- Dyadics;
- Equations Of Motion;
- Fourier Transformation;
- Hydrodynamic Equations;
- Least Squares Method;
- Matrices (Mathematics);
- Thermodynamics and Statistical Physics;
- 61.20.Ja;
- 05.60.+w;
- 61.20.Lc;
- Computer simulation of liquid structure;
- Time-dependent properties;
- relaxation