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Abstract / Description of output
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 Onsager-Machlup theory of linear fluctuations, the statistical properties of the noise are determined by invoking a fluctuation-dissipation 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 non-ideal fluids. Application of the framework to a generic force-based non-ideal fluid model leads to ideal gas-type thermal noise. Simulation results indicate proper thermalization of all degrees of freedom.
Original language | English |
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Article number | P03030 |
Pages (from-to) | - |
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
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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