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 C) It is no longer valid for dilute gases.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