A) They only work for dense gases. B) They are mathematically impossible to solve. C) They are not generally usable in practical problems. D) They contradict Newtonian mechanics.
A) Hilbert's sixth problem B) The BBGKY expansion C) Lattice Boltzmann methods D) Exact inverse power laws
A) Proving that particles have internal degrees of freedom. B) Representing the solution close to local equilibrium. C) Defining the trajectory of cancer cells. D) Calculating the size of pointlike particles.
A) Euler and Navier–Stokes equations B) The BBGKY hierarchy C) Newtonian mechanics D) The Enskog equation
A) They are not defined for rarefied gases. B) They ignore translational motion. C) They have singularities. D) They are always equal to zero.
A) The Enskog generalization B) Hilbert's sixth problem C) Lanford's theorem D) The hypersonic aerodynamics limit
A) Particles are spheres of fixed radius. B) Particles are pointlike. C) Particles are exclusively charged. D) Particles have varying mass.
A) It only applies to plasma flows. B) It ignores collisions completely. C) It accounts for particles having finite size. D) It assumes all particles are at rest.
A) It becomes the Euler equation. B) It is no longer valid for dilute gases. C) It must be generalized and may include inelastic collisions. D) It must be solved using only binary collisions.
A) Through the Chapman–Enskog expansion. B) By assuming pointlike particles. C) Using the BBGKY hierarchy. D) Using the Navier–Stokes equations.
A) Electrical conductivity calculations B) Boundary value deformation C) Chemotaxis-related effects D) Hypersonic aerodynamics
A) Oscar Lanford B) Hilbert and Boltzmann C) The authors of the lattice Boltzmann method D) Yu Deng, Zaher Hani, and Xiao Ma
A) It relied solely on numerical methods. B) It only worked for plasma flows. C) It failed to account for pointlike particles. D) It was restricted to very short time intervals.
A) The calculation of electrical conductivity. B) The study of cancer cell invasion. C) The mesoscopic kinetic description. D) The macroscopic Navier–Stokes equations.
A) How macroscopic irreversibility emerges from time-reversible laws. B) How to solve the Enskog equation for dense gases. C) The exact size of molecules in a liquid. D) The singularity of higher-order expansion terms.
A) Conservation of particle number B) Conservation of mass C) Conservation of momentum D) Conservation of entropy
A) The heat flux vector B) Viscous stress tensor plus hydrostatic pressure C) Only hydrostatic pressure D) Only viscous stress tensor
A) Conservation of angular momentum B) Conservation of momentum C) Conservation of charge D) Conservation of energy
A) Force vector B) Heat flux vector C) Density flux D) Pressure tensor
A) m(v_i)2 B) m(v_i)/2 C) m(v_i) D) m(v_i)3
A) Kinetic thermal energy B) Viscous stress C) Pressure gradient D) External force term
A) m(v_i)2 B) p_i v_i C) m(v_i)2 / 2 D) m(v_i) / 2
A) Heat flux vector J_qi B) The time derivative of density C) The particle mass m D) Only hydrostatic pressure
A) Fermi-Dirac equation B) Maxwell-Boltzmann equation C) Vlasov equation D) Bose-Einstein equation
A) Molecular chaos assumption B) Statistical equilibrium assumption C) Two-body interaction postulate D) Differential cross section hypothesis
A) Mass density B) Total number of particles C) Force field intensity D) Differential cross section
A) The application of a force field B) The measurement of time C) The change in mass D) The collision
A) Position-based scalar product B) Force field vector sum C) Momentum-space integral D) Time-dependent derivative
A) p = m/v B) p = v/m C) p = mv D) v = mp
A) Liouville's theorem B) The diffusion constant C) The collision integral D) Newton's second law
A) ∂f/∂t B) ∇p C) ∇r D) Δf
A) ∂/∂x, ∂/∂y, ∂/∂z B) ∂/∂t, ∂/∂r, ∂/∂p C) ∂/∂px, ∂/∂py, ∂/∂pz D) ∂/∂v, ∂/∂m, ∂/∂t
A) Non-equilibrium B) Static equilibrium C) Absolute zero D) Vacuum state
A) 12-dimensional B) 3-dimensional C) 6-dimensional D) 4-dimensional
A) Nine B) One C) Three D) Six
A) General relativity B) Viscosity C) Quantum entanglement D) Atomic decay
A) Only in mixtures B) Yes C) No, they are always different D) Only at absolute zero
A) A gravitational field B) A static solid crystal C) A fluid with temperature gradients D) A superconducting wire
A) f B) p C) ν D) m
A) Time interval B) Spatial dimension C) Chemical species D) Force vector component
A) t B) r C) Ω D) j
A) Integration over solid angle B) Integration over force magnitude C) Integration over spatial volume D) Integration over time
A) m B) g C) p D) n
A) Boltzmann summation convention B) Maxwell summation convention C) Newtonian summation convention D) Einstein summation convention
A) Lagrangian operator B) Liouville operator C) Langevin operator D) Linearization operator
A) Galactic dynamics B) Fluid statistics C) Stellar nucleosynthesis D) Quantum optics
A) Density gradient B) Gravitational constant C) Gamma function D) Christoffel symbol
A) Newtonian gravity B) Thermodynamic equilibrium calculations C) Classical mechanics D) Baryogenesis
A) Fully covariant B) Euclidean C) Fully contravariant D) Mixed contravariant-covariant
A) Supernova explosion B) Big Bang nucleosynthesis C) Galaxy formation D) Solar flare activity |