Mode-coupling theory for aging in active glasses: relaxation dynamics and evolution towards steady state
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| Format: | Preprint |
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2026
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| author | Kolya, Soumitra Gov, Nir S. Nandi, Saroj Kumar |
| author_facet | Kolya, Soumitra Gov, Nir S. Nandi, Saroj Kumar |
| contents | Aging refers to the evolution of system properties with waiting time $t_w$. It is a key feature of glassy dynamics. Recent experiments have demonstrated aging in biological systems that are inherently active with a magnitude of self-propulsion force $f_0$ and a persistence time $τ_p$. Thus, what governs the aging dynamics in these active systems has fundamental importance. We formulate a generic mode-coupling theory (MCT) of active glasses to address this question. The aging solutions of the theory show that the two-point correlation function decays more slowly with growing $t_w$, and the relaxation time $t_r$ increases. The activity-modification of the MCT critical point, $λ_\text{C}$, has profound significance for active aging: the quench distance from $λ_\text{C}$ governs aging and determines $δ$, where $t_r\sim t_w^δ$. $δ$ decreases with increasing $f_0$, in agreement with existing simulations. However, the variation with $τ_p$ depends on the nature of activity. Our work has fundamental theoretical implications for active glasses and paves the way for a deeper understanding of the aging dynamics in biological systems. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2604_07820 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Mode-coupling theory for aging in active glasses: relaxation dynamics and evolution towards steady state Kolya, Soumitra Gov, Nir S. Nandi, Saroj Kumar Soft Condensed Matter Disordered Systems and Neural Networks Statistical Mechanics Aging refers to the evolution of system properties with waiting time $t_w$. It is a key feature of glassy dynamics. Recent experiments have demonstrated aging in biological systems that are inherently active with a magnitude of self-propulsion force $f_0$ and a persistence time $τ_p$. Thus, what governs the aging dynamics in these active systems has fundamental importance. We formulate a generic mode-coupling theory (MCT) of active glasses to address this question. The aging solutions of the theory show that the two-point correlation function decays more slowly with growing $t_w$, and the relaxation time $t_r$ increases. The activity-modification of the MCT critical point, $λ_\text{C}$, has profound significance for active aging: the quench distance from $λ_\text{C}$ governs aging and determines $δ$, where $t_r\sim t_w^δ$. $δ$ decreases with increasing $f_0$, in agreement with existing simulations. However, the variation with $τ_p$ depends on the nature of activity. Our work has fundamental theoretical implications for active glasses and paves the way for a deeper understanding of the aging dynamics in biological systems. |
| title | Mode-coupling theory for aging in active glasses: relaxation dynamics and evolution towards steady state |
| topic | Soft Condensed Matter Disordered Systems and Neural Networks Statistical Mechanics |
| url | https://arxiv.org/abs/2604.07820 |