Non-Markovian modeling of non-equilibrium fluctuations and dissipation in active viscoelastic biomatter

Amir Abbasi; Roland R. Netz; Ali Naji

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arXiv · 2207.11307

Non-Markovian modeling of non-equilibrium fluctuations and dissipation in active viscoelastic biomatter

Amir Abbasi·Roland R. Netz·Ali Naji

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Abstract

Based on a Hamiltonian that incorporates the elastic coupling between a tracer and active particles, we derive a generalized Langevin model for the non-equilibrium mechanical response of active viscoelastic biomatter. Our model accounts for the power-law viscoelastic response of the embedding polymeric network as well as for the non-equilibrium energy transfer between active and tracer particles. Our analytical expressions for the frequency-dependent response function and the positional autocorrelation function agree nicely with experimental data for red blood cells and actomyosin networks with and without ATP. The fitted effective active-particle temperature, elastic constants and effective friction coefficients of our model allow straightforward physical interpretation.

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Amir Abbasi, Roland R. Netz, Ali Naji. 2022-07-22. Non-Markovian modeling of non-equilibrium fluctuations and dissipation in active viscoelastic biomatter. https://arxiv.org/abs/2207.11307

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