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Thermophoresis beyond Local Thermodynamic Equilibrium
Daniel B Mayer1, Thomas Franosch1, Christof Mast2
1Institut für Theoretische Physik, Universität Innsbruck, Technikerstraße 21A, A-6020 Innsbruck, Austria.
This study reveals nonlinear thermophoresis in polystyrene beads, showing motion slows drastically at high temperature gradients. This transition, marked by a Péclet number of one, suggests a crossover from fluctuation-dominated to drift-dominated regimes.
Area of Science:
- Colloid science
- Soft matter physics
- Transport phenomena
Background:
- Thermophoresis describes particle movement in response to temperature gradients.
- Understanding nonlinear thermophoresis is crucial for applications like particle separation and thermal management.
- Existing linear models fail to capture complex behaviors at higher temperature gradients.
Purpose of the Study:
- To investigate the thermophoretic behavior of polystyrene beads across a broad range of temperature gradients.
- To identify and characterize the transition to nonlinear thermophoresis.
- To compare experimental findings with existing theoretical models.
Main Methods:
- Experimental measurement of polystyrene bead thermophoresis.
- Systematic variation of temperature gradients, particle sizes, and salt concentrations.
- Data analysis using Péclet number and master curve rescaling.
Main Results:
- Observed pronounced nonlinear thermophoretic characteristics.
- Identified a transition to nonlinear behavior marked by slowed motion at a Péclet number of order unity.
- Demonstrated data collapse onto a single master curve for the nonlinear regime.
- Found agreement with linear models at low gradients but discrepancies at higher gradients.
Conclusions:
- Thermophoresis transitions from fluctuation-dominated at low gradients to drift-dominated at higher Péclet numbers.
- This behavior contrasts sharply with electrophoresis.
- The findings highlight the importance of fluctuations and nonlinear effects in thermophoresis.
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