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Abstract
The discrete Boltzmann equation for both the ideal and a nonideal fluid is extended by adding Langevin noise terms in order to incorporate the effects of thermal fluctuations. After casting the fluctuating discrete Boltzmann equation in a form appropriate to the OnsagerMachlup theory of linear fluctuations, the statistical properties of the noise are determined by invoking a fluctuationdissipation theorem at the kinetic level. By integrating the fluctuating discrete Boltzmann equation, a fluctuating lattice Boltzmann equation is obtained, which provides an efficient way to solve the equations of fluctuating hydrodynamics for ideal and nonideal fluids. Application of the framework to a generic forcebased nonideal fluid model leads to ideal gastype thermal noise. Simulation results indicate proper thermalization of all degrees of freedom.
Original language  English 

Article number  P03030 
Pages (fromto)   
Number of pages  34 
Journal  Journal of Statistical Mechanics: Theory and Experiment 
DOIs  
Publication status  Published  Mar 2011 
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Dive into the research topics of 'Langevin theory of fluctuations in the discrete Boltzmann equation'. Together they form a unique fingerprint.Projects
 1 Finished

Edinbugrh Soft Matter and Statistical Physics Programme Grant Renewal
Cates, M., Poon, W., Ackland, G., Clegg, P., Evans, M., MacPhee, C. & Marenduzzo, D.
1/10/07 → 31/03/12
Project: Research