Non-isothermal fluctuating hydrodynamics and Brownian motion

Abstract

The classical theory of Brownian dynamics follows from coarse-graining the underlying linearized fluctuating hydrodynamics of the solvent. We extend this procedure to globally non-isothermal conditions, requiring only a local thermal equilibration of the solvent. Starting from the conservation laws, we establish the stochastic equations of motion for the fluid momentum fluctuations in the presence of a suspended Brownian particle. These are then contracted to the non-isothermal generalized Langevin description of the suspended particle alone, for which the coupling to stochastic temperature fluctuations is found to be negligible under typical experimental conditions.

9 pages

References in corpus (4)

• Effective temperatures of hot Brownian motion
• Physical origin of nonequilibrium fluctuation-induced forces in fluids
• Effective temperatures of a heated Brownian particle
• Non-Equilibrium is Different

Cited by in corpus (11)

• Multiple-scale stochastic processes: decimation, averaging and beyond
• Power functional theory for many-body dynamics
• Hot Microswimmers
• Interacting Brownian dynamics in a nonequilibrium particle bath
• Structural nonequilibrium forces in driven colloidal systems
• Local detailed balance across scales: from diffusions to jump processes and beyond
• Magnetic microswimmers exhibit Bose-Einstein-like condensation
• The stochastic motion of self-thermophoretic Janus particles
• Brownian Thermometry Beyond Equilibrium
• Coarse Graining Nonisothermal Microswimmer Suspensions
• Thermotaxis of Janus Particles