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Time reversal breaking of colloidal particles in cells
Gabriel Knotz1, Till M Muenker2, Timo Betz2
1Institute for Theoretical Physics, University of Göttingen, 37077 Göttingen, Germany.
The Journal of Chemical Physics
|July 2, 2026
Summary
We found that mean back relaxation (MBR) detects broken time reversal symmetry in cell and model data. Microtubules are key to this symmetry breaking in cells, impacting activity scales.
Area of Science:
- Physics
- Biophysics
- Statistical Mechanics
Background:
- Time reversal symmetry is a fundamental concept in physics.
- Stochastic processes in biological systems often exhibit complex dynamics.
- Quantifying deviations from equilibrium is crucial for understanding active matter.
Purpose of the Study:
- To investigate signatures of broken time reversal symmetry in stochastic trajectory data.
- To apply the mean back relaxation (MBR) method to both model systems and biological cell data.
- To identify the cellular components responsible for time reversal symmetry breaking.
Main Methods:
- Utilizing a three-point correlation function known as mean back relaxation (MBR).
- Analyzing stochastic trajectory data from a simple driven model.
- Examining data from colloidal particles within living and passivated biological cells.
- Employing drug treatments to probe the role of cellular structures.
Main Results:
- MBR successfully detected broken time reversal symmetry in both model and cell data.
- The method allowed determination of relevant time and length scales of activity.
- Microtubules were identified as predominantly necessary for time reversal symmetry breaking in cells.
- A bound for entropy production showed qualitative agreement with active energies quantifying fluctuation-dissipation theorem violation.
Conclusions:
- Mean back relaxation is a robust tool for detecting broken time reversal symmetry in complex systems.
- Cellular activity, particularly involving microtubules, actively breaks time reversal symmetry.
- The findings provide insights into the physics of active biological matter and non-equilibrium thermodynamics.
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