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Railway switch transport model.

Martin Horvat¹, Tomaž Prosen, Giuliano Benenti

¹Faculty of Mathematics and Physics, Department of Physics, University of Ljubljana, Ljubljana, Slovenia. martin.horvat@fmf.uni-lj.si

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|December 11, 2012

Summary

This summary is machine-generated.

We introduce a simple model for coupled heat and particle transport, inspired by a railway switch. This model reveals highly asymmetric Onsager matrices due to broken time-reversal symmetry, enhancing understanding of thermoelectric heat engines.

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Area of Science:

Condensed Matter Physics
Statistical Mechanics
Thermodynamics

Background:

Understanding coupled heat and particle transport is crucial for developing efficient thermoelectric devices.
Time-reversal symmetry breaking is a key factor influencing transport properties in various physical systems.
Classical deterministic dynamics offer a simplified yet insightful approach to complex transport phenomena.

Purpose of the Study:

To propose a minimalistic model for coupled heat and particle transport.
To investigate the emergence of asymmetric Onsager matrices in a three-terminal system.
To elucidate the role of time-reversal symmetry breaking in thermoelectric heat engines.

Main Methods:

Development of a zero-dimensional classical deterministic model for transport.
Utilizing a railway switch analogy to describe particle energy-dependent transport.
Analysis of a minimal three-terminal setup with a zero-current probe terminal.

Main Results:

Demonstration of extremely asymmetric Onsager matrices in the proposed model.
Confirmation that time-reversal symmetry breaking is the cause of these asymmetries.
The minimal model effectively captures complex transport behaviors.

Conclusions:

The proposed minimalistic model provides valuable insights into thermoelectric heat engines.
Time-reversal symmetry breaking significantly impacts transport properties, leading to asymmetric Onsager matrices.
This simplified approach aids in understanding fundamental transport mechanisms in mesoscopic systems.