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math-ph2026
A Kinetic Theory Approach To Ordered Fluids: Direct Simulation Monte Carlo Methods
José A. Carrillo, Patrick E. Farrell, Andrea Medaglia +1
We present a direct simulation Monte Carlo (DSMC) method for the kinetic theory of ordered fluids recently introduced by the authors. The microscopic constituents of these fluids c…
math-ph2026
Kinetic derivation of thermal viscous models for nematic liquid crystal dynamics
P. E. Farrell, J. Málek, O. Souček +1
We develop a macroscopic thermodynamic theory of nematic liquid crystals starting from a kinetic theory of ordered fluids with a collision operator of Bhatnagar-Gross-Krook (BGK) t…
math-ph2026
A kinetic interpretation of thermomechanical restrictions of continua
Patrick E. Farrell, Josef Málek, Ondřej Souček +1
Rajagopal and Srinivasa's thermodynamic framework derives constitutive relations in continuum mechanics from two scalar functions describing energy storage and entropy production v…