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Colloid Thermophoresis as a Non-Proportional Response
-
Eric Bringuier
and
Alain Bourdon
Published/Copyright:
September 25, 2007
Abstract
Thermophoresis (particle motion driven by a temperature gradient) is envisioned here as the ensemble-averaged motion of a Brownian particle in a bathing medium of nonuniform temperature. The theory of Brownian motion pertinent to colloids is reviewed and adapted to the case of a nonuniform temperature field. The thermophoretic velocity of the Brownian particle is not proportional to the force undergone by the particle, but contains a significant additive correction pushing the particle toward regions of lower friction. The correction is independent of the precise nature of the force. The physicochemical nature of the force is briefly discussed.
Received: 2006-09-08
Accepted: 2006-12-05
Published Online: 2007-09-25
Published in Print: 2007-09-19
© Walter de Gruyter
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Articles in the same Issue
- Editorial
- Universal Concentration Dependence of the Soret Coefficient in Aqueous Systems
- Long-Wave Marangoni Instability in a Binary-Liquid Layer with a Deformable Interface in the Presence of the Soret Effect: The Case of Finite Biot Numbers
- Convective Instabilities in Thermogravitational Columns
- Colloid Thermophoresis as a Non-Proportional Response
- Influence of Nonlinear Concentration Profiles on Flow Patterns of Solutal Rayleigh–Bénard–Marangoni Convection
- Evaluation of Thermal Diffusion Models for Ternary Hydrocarbon Mixtures
- Mass Effect on Thermodiffusion using Molecular Dynamics
- Peculiarity of 3D Flow Organization in Soret Driven Instability
- Experimental Determination of the Soret Coefficient of Ionic Ferrofluids: Influence of the Volume Fraction and Ionic Strength
- Unified Hydrodynamic Model of Thermodiffusion and Cross-Diffusion in Liquids
- Study of Transversal Dimension Influence on Species Separation in Thermogravitational Diffusion Columns
- Fickian Diffusion Coefficient of Binary Liquid Mixtures in a Thermogravitational Column
- Thermodiffusion Coefficient for Binary Liquid Hydrocarbon Mixtures
- Thermal Fluctuations in Non-Equilibrium Thermodynamics
- The Presence of Microconvective Instability in Optically Induced Gratings
- The Heat of Transfer in a Chemical Reaction at Equilibrium
Articles in the same Issue
- Editorial
- Universal Concentration Dependence of the Soret Coefficient in Aqueous Systems
- Long-Wave Marangoni Instability in a Binary-Liquid Layer with a Deformable Interface in the Presence of the Soret Effect: The Case of Finite Biot Numbers
- Convective Instabilities in Thermogravitational Columns
- Colloid Thermophoresis as a Non-Proportional Response
- Influence of Nonlinear Concentration Profiles on Flow Patterns of Solutal Rayleigh–Bénard–Marangoni Convection
- Evaluation of Thermal Diffusion Models for Ternary Hydrocarbon Mixtures
- Mass Effect on Thermodiffusion using Molecular Dynamics
- Peculiarity of 3D Flow Organization in Soret Driven Instability
- Experimental Determination of the Soret Coefficient of Ionic Ferrofluids: Influence of the Volume Fraction and Ionic Strength
- Unified Hydrodynamic Model of Thermodiffusion and Cross-Diffusion in Liquids
- Study of Transversal Dimension Influence on Species Separation in Thermogravitational Diffusion Columns
- Fickian Diffusion Coefficient of Binary Liquid Mixtures in a Thermogravitational Column
- Thermodiffusion Coefficient for Binary Liquid Hydrocarbon Mixtures
- Thermal Fluctuations in Non-Equilibrium Thermodynamics
- The Presence of Microconvective Instability in Optically Induced Gratings
- The Heat of Transfer in a Chemical Reaction at Equilibrium
