# Determination of the thermodynamic scaling exponent for relaxation in liquids from static ambient-pressure quantities.

@article{Casalini2014DeterminationOT, title={Determination of the thermodynamic scaling exponent for relaxation in liquids from static ambient-pressure quantities.}, author={Riccardo Casalini and C. Michael Roland}, journal={Physical review letters}, year={2014}, volume={113 8}, pages={ 085701 } }

An equation is derived that expresses the thermodynamic scaling exponent, γ, which superposes relaxation times τ and other measures of molecular mobility determined over a range of temperatures and densities, in terms of static physical quantities. The latter are available in the literature or can be measured at ambient pressure. We show for 13 materials, both molecular liquids and polymers, that the calculated γ are equivalent to the scaling exponents obtained directly by superpositioning. The…

## 29 Citations

Equation of State and Entropy Theory Approach to Thermodynamic Scaling in Polymeric Glass-Forming Liquids

- Physics
- 2021

Numerous experimental and computational studies have established that most liquids seem to exhibit a remarkable, yet poorly understood, property termed ‘thermodynamic scaling’ in which the structural…

Universality of Density Scaling

- Physics
- 2018

Investigations of the sought after complete and commonly accepted theory of the glass transition and related phenomena have recently gained an essential support from a very promising idea of the…

Thermodynamic Scaling of the Dynamics of a Strongly Hydrogen-Bonded Glass-Former

- Materials Science, MedicineScientific Reports
- 2017

The results show that the dynamics of TDZ, a system characterized by strong hydrogen bonding, is characterized by an isomorphism similar to that of van-der-Waals systems.

Thermodynamic consequences of the kinetic nature of the glass transition

- Computer Science, MedicineScientific reports
- 2015

It is suggested that without employing an additional condition, met in the glass transition, derivation of the two independent equations for dTg/dp is not possible, and the relation among the thermodynamic coefficients, which could be equivalent to the well-known Prigogine-Defay ratio, cannot be obtained.

Experimental Evidence for a State-Point-Dependent Density-Scaling Exponent of Liquid Dynamics.

- Physics, MedicinePhysical review letters
- 2019

Experimental evidence is presented that the density-scaling exponent γ is state-point dependent for the glass formers tetramethyl-tetraphenyl-trisiloxane and 5-polyphenyl ether and a method is proposed that from dynamic and thermodynamic properties at equilibrium estimates the value of γ.

Excess thermodynamic properties of glassforming liquids: The rational scaling of heat capacities, and the thermodynamic fragility dilemma resolved

- Chemistry
- 2016

Abstract With the overall objective of clarifying some perennial issues with the concept of liquid fragility, and with thermodynamic fragility in particular focus, we review the determination of…

Dynamic correlation length scales under isochronal conditions.

- Physics, ChemistryThe Journal of chemical physics
- 2015

The first nonlinear dielectric experiments at elevated hydrostatic pressures on two liquids are carried out, to measure the third-order harmonic component of their susceptibilities and find that the dynamic correlation volume for non-associated liquids depends primarily on the relaxation time, sensibly independent of temperature and pressure.

Experimental Evidence for a State-Point-Independent Density-Scaling Exponent in Ionic Liquids.

- Medicine, PhysicsPhysical review letters
- 2019

Results clearly show that for studied ILs the scaling exponent is a state-point-independent parameter that is in odds with the recent findings for van der Waals liquid.

How Free Volume Does Influence the Dynamics of Glass Forming Liquids

- Materials Science
- 2017

In this article we show that inverse free volume is a natural variable for analyzing relaxation data on glass-forming liquids, and that systems obey the general form, log(τ/τref) = (1/Vfree) × f(T),…

Corroborative evidences of TV γ -scaling of the α-relaxation originating from the primitive relaxation/JG β relaxation

- Chemistry, Physics
- 2017

Abstract Successful thermodynamic scaling of the structural α-relaxation time τα or transport coefficients of glass-forming liquids determined at various temperatures T and pressures P means the data…

## References

SHOWING 1-10 OF 46 REFERENCES

Hidden scale invariance in condensed matter.

- Physics, MedicineThe journal of physical chemistry. B
- 2014

The article reviews the theory behind this picture of condensed matter and the evidence for it coming from computer simulations and experiments.

Viscoelastic Behavior of Rubbery Materials

- Materials Science
- 2011

1. Introduction 2. Cooperative Local Dynamics - The Glass Transition Zone 3. Chain Dynamics 4. Networks 5. Constitutive Modeling, Nonlinear Behavior and the Stress Optic Law 6. Reduced Variables and…

Rep

- Prog. Phys. 68, 1405
- 2005

Chem

- B, doi: 10.1021/jp501852b
- 2014

Condens

- Matter 19, 205118 (2007). PRL 113, 085701
- 2014

Nat

- Phys. 7, 816 (2011). 2 4 6 8 10 12 14 16 -20 0 20 40 60 S c ( T ,P ) -S re f ( J K -1 m ol -1 ) OTP (γ =4.0) PVAc (γ=2.5) salol (γ=5.2) 1000 / TV (Kmlg) FIG. 3 (color online). Configurational entropy of three liquids measured at various temperatures and pressures plotted versus
- 2014

Macromolecules 46

- 6364
- 2013

Phys

- 139, 184506
- 2013

New J

- Phys. 14, 113035
- 2012

Phys

- Rev. E 86, 031501
- 2012