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A recently proposed expression to describe the temperature and volume dependences of the structural (or alpha) relaxation time is discussed. This equation satisfies the scaling law for the relaxation times, tau = f(TV^g), where T is…

软凝聚态物质 · 物理学 2009-11-13 R. Casalini , C. M. Roland

The recently discovered scaling law for the relaxation times, tau=f(T,V^g), where T is temperature and V the specific volume, is derived by a revision of the entropy model of the glass transition dynamics originally proposed by Avramov [I.…

软凝聚态物质 · 物理学 2009-11-11 R. Casalini , U. Mohanty , C. M. Roland

Viscosities and their temperature, T, and volume, V, dependences are reported for 7 molecular liquids and polymers. In combination with literature viscosity data for 5 other liquids, we show that the superpositioning of relaxation times for…

软凝聚态物质 · 物理学 2009-11-11 CM Roland , S Bair , R Casalini

Superpositioning of relaxation data as a function of the product variable TV^{\gamma}, where T is temperature, V the specific volume, and {\gamma} a material constant, is an experimental fact demonstrated for approximately 100 liquids and…

软凝聚态物质 · 物理学 2015-05-20 Daniel Fragiadakis , C. Michael Roland

We show that for arbitrary thermodynamic conditions, master curves of the entropy are obtained by expressing S(T,V) as a function of TV^g_G, where T is temperature, V specific volume, and g_G the thermodynamic Gruneisen parameter. A similar…

软凝聚态物质 · 物理学 2009-11-13 R. Casalini , C. M. Roland

The manner in which the intermolecular potential u(r) governs structural relaxation in liquids is a long standing problem in condensed matter physics. Herein we show that diffusion coefficients for simulated Lennard-Jones m-6 liquids…

统计力学 · 物理学 2008-02-01 D. Coslovich , C. M. Roland

Relaxation times for different temperatures, T, and specific volumes, V, collapse to a master curve versus TV^g, with g a material constant. The isochoric fragility, m_V, is also a material constant, inversely correlated with g. From these…

软凝聚态物质 · 物理学 2007-05-23 R. Casalini , S. Capaccioli , C. M. Roland

An equation is derived that expresses the thermodynamic scaling exponent, g, which superposes relaxation times and other measures of molecular mobility determined over a range of temperatures and densities, in terms of static, physical…

软凝聚态物质 · 物理学 2015-06-19 R. Casalini , C. M. Roland

Structural relaxation times and viscosities for non-associated liquids and polymers are a unique function of the product of temperature, T, times specific volume, V, with the latter raised to a constant, g_tau. Similarly, for both neat…

软凝聚态物质 · 物理学 2015-06-25 CM Roland , R Casalini

Classification of glass-forming liquids based on the dramatic change in their properties upon approach to the glassy state is appealing, since this is the most conspicuous and often-studied aspect of the glass transition. Herein, we show…

软凝聚态物质 · 物理学 2009-11-10 R. Casalini , C. M. Roland

In an earlier preprint (V. V. Ginzburg, O. V. Gendelman, R. Casalini, and A. Zaccone, arxiv:2409.17291), we demonstrated that the dynamic (relaxation time) and volume equations of state for many amorphous polymers are near-universal -- each…

软凝聚态物质 · 物理学 2025-01-03 Valeriy V. Ginzburg , Oleg V. Gendelman , Riccardo Casalini , Alessio Zaccone

Master curves of the relaxation time, tau, or viscosity, eta, versus T^-1V^-x, where T is temperature, V the specific volume, and x a material constant, are used to deduce the effect of pressure on the dynamic crossover and the fragility.…

软凝聚态物质 · 物理学 2009-11-10 R. Casalini , C. M. Roland

The dynamics of a large number of liquids and polymers exhibit scaling properties characteristic of a simple repulsive inverse power law (IPL) potential, most notably the superpositioning of relaxation data as a function of the variable…

软凝聚态物质 · 物理学 2015-05-27 D. Fragiadakis , C. M. Roland

Many glass-forming fluids exhibit a remarkable thermodynamic scaling in which dynamic properties, such as the viscosity, the relaxation time, and the diffusion constant, can be described under different thermodynamic conditions in terms of…

软凝聚态物质 · 物理学 2015-06-16 Wen-Sheng Xu , Karl F. Freed

A central question concerning glass-formation has been what governs the kinetic arrest of the quenched liquid - cooling reduces the thermal energy which molecules need to surmount local potential barriers, while the accompanying volume…

软凝聚态物质 · 物理学 2007-05-23 CM Roland R Casalini

The glass transition is a long-standing unsolved problem in materials science. For polymers, our understanding of glass-formation is particularly poor due to the added complexity of chain connectivity and flexibility; structural relaxation…

软凝聚态物质 · 物理学 2022-05-30 Daniel L. Baker , Matthew Reynolds , Robin Masurel , Peter D. Olmsted , Johan Mattsson

Kramers relaxation times $\tau_{K}$ and relaxation times $\tau_{R}$ and $\tau_{G}$ for the end-to-end distances and for center of mass diffusion are calculated for dense systems of athermal lattice chains. $\tau_{K}$ is defined from the…

凝聚态物理 · 物理学 2015-06-24 O. Durr , H. L. Frisch , W. Dieterich

The present study introduces a renormalization based approach to investigate the relaxation dynamics within supercooled liquids. By applying a numerical scale transformation to potential energies along the temporal axis, we have established…

软凝聚态物质 · 物理学 2025-04-01 B. Zhang , D. M. Zhang , D. Y. Sun , X. G. Gong

It was recently shown by computer simulations that a large class of liquids exhibits strong correlations in their thermal fluctuations of virial and potential energy [Pedersen et al., Phys. Rev. Lett. 100, 015701 (2008)]. Among organic…

We show that the density and temperature dependences of the $\alpha$-relaxation time of several glassforming polymers can be described through a single scaling variable $X=e(\rho)/T$, where $e(\rho)$ is well fitted by a power law $\rho^x$,…

软凝聚态物质 · 物理学 2009-11-10 C. Alba-Simionesco , A. Cailliaux , A. Alegria , G. Tarjus
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