Non-equilibrium theory of the linear viscoelasticity of glass and gel forming liquids
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2024
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| author | Peredo-Ortiz, R. Joaquín-Jaime, O. López-Flores, L. Medina-Noyola, M. Elizondo-Aguilera, L. F. |
| author_facet | Peredo-Ortiz, R. Joaquín-Jaime, O. López-Flores, L. Medina-Noyola, M. Elizondo-Aguilera, L. F. |
| contents | We propose a first-principles theoretical approach for the description of the aging of the linear viscoelastic properties of a colloidal liquid after a sudden quench into a dynamically arrested (glass or gel) state. Specifically, we couple a general expression for the time-evolving shear-stress relaxation function $η(τ;t)$ (whose $τ$-integral is the instantaneous viscosity $η(t)$), written in terms of the non-equilibrium structure factor $S(k;t)$ and intermediate scattering function $F(k,τ;t)$, with the equations that determine $S(k;t)$ and $F(k,τ;t)$, provided by the non-equilibrium self-consistent generalized Langevin equation (NE-SCGLE) theory. In this manner, we obtain a closed theoretical scheme that directly connects inter-particle forces with experimentally accessible rheological properties of non-equilibrium amorphous states of matter. The predictive capability of the resulting theoretical formalism is illustrated here with its concrete application to the Weeks-Chandler-Andersen (WCA) model of a soft-sphere fluid. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2402_14242 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-equilibrium theory of the linear viscoelasticity of glass and gel forming liquids Peredo-Ortiz, R. Joaquín-Jaime, O. López-Flores, L. Medina-Noyola, M. Elizondo-Aguilera, L. F. Soft Condensed Matter Materials Science Applied Physics We propose a first-principles theoretical approach for the description of the aging of the linear viscoelastic properties of a colloidal liquid after a sudden quench into a dynamically arrested (glass or gel) state. Specifically, we couple a general expression for the time-evolving shear-stress relaxation function $η(τ;t)$ (whose $τ$-integral is the instantaneous viscosity $η(t)$), written in terms of the non-equilibrium structure factor $S(k;t)$ and intermediate scattering function $F(k,τ;t)$, with the equations that determine $S(k;t)$ and $F(k,τ;t)$, provided by the non-equilibrium self-consistent generalized Langevin equation (NE-SCGLE) theory. In this manner, we obtain a closed theoretical scheme that directly connects inter-particle forces with experimentally accessible rheological properties of non-equilibrium amorphous states of matter. The predictive capability of the resulting theoretical formalism is illustrated here with its concrete application to the Weeks-Chandler-Andersen (WCA) model of a soft-sphere fluid. |
| title | Non-equilibrium theory of the linear viscoelasticity of glass and gel forming liquids |
| topic | Soft Condensed Matter Materials Science Applied Physics |
| url | https://arxiv.org/abs/2402.14242 |