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Dynamic renormalization in the framework of nonequilibrium thermodynamics
1ETH Zürich, Department of Materials, Polymer Physics, HCI H 543, CH-8093 Zürich, Switzerland. hco@mat.ethz.ch
Summary
We introduce dynamic renormalization for nonequilibrium systems, extending equilibrium thermodynamics. This method redefines friction matrices without introducing new dissipative processes, simplifying complex models like polymer solutions.
Area of Science:
- Non-equilibrium thermodynamics
- Polymer physics
- Statistical mechanics
Background:
- Renormalization techniques are established for equilibrium systems.
- Nonequilibrium systems present unique challenges due to dissipation.
- Understanding dynamic processes in complex fluids is crucial.
Purpose of the Study:
- To extend dynamic renormalization to nonequilibrium systems within a thermodynamic framework.
- To introduce the renormalization of dissipative brackets (friction matrices) as a key novelty.
- To demonstrate the method's applicability and implications for complex systems.
Main Methods:
- Developing a general framework for dynamic renormalization in nonequilibrium thermodynamics.
- Applying the renormalization procedure to dissipative brackets (friction matrices).
- Illustrating the technique using bead-spring chain models for dilute polymer solutions.
Main Results:
- Dynamic renormalization can be performed within nonequilibrium thermodynamics.
- Renormalization of friction matrices is a novel aspect for nonequilibrium systems.
- Dissipative hydrodynamic interactions in polymer solutions contribute to effective friction coefficients.
Conclusions:
- The dynamic renormalization procedure is a reduction technique, not coarse-graining, avoiding new dissipative processes.
- The method provides a simplified yet accurate description of complex polymer dynamics.
- This approach offers new insights into the behavior of dissipative systems.
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