<i>Sixth Symposium on Microdosimetry</i>, edited by J. Booz and H. G. Ebert

Gibbs, S. Julian

doi:10.1118/1.594781

Cited by 125 publications

(209 citation statements)

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“…In the last two decades, three independent lines of research, Adam-Gibbs theory (Adam and Gibbs, 1965), mode-coupling theory (Götze, 2008) and spin glass theory (Mézard et al, 1988), have been merged in a common framework to produce a theoretical ensemble that now goes under the name of Random First Order Transition theory (RFOT), a terminology introduced by Kirkpatrick, Thirumalai and Wolynes who played, among many other researchers, a key role in its development.…”

Section: Mean-field Glass Theory and Complex Free Energy Landscapesmentioning

confidence: 99%

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Theoretical perspective on the glass transition and amorphous materials

2011

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We provide a theoretical perspective on the glass transition in molecular liquids at thermal equilibrium, on the spatially heterogeneous and aging dynamics of disordered materials, and on the rheology of soft glassy materials. We start with a broad introduction to the field and emphasize its connections with other subjects and its relevance. The important role played by computer simulations to study and understand the dynamics of systems close to the glass transition at the molecular level is spelled out. We review the recent progress on the subject of the spatially heterogeneous dynamics that characterizes structural relaxation in materials with slow dynamics. We then present the main theoretical approaches describing the glass transition in supercooled liquids, focusing on theories that have a microscopic, statistical mechanics basis. We describe both successes and failures, and critically assess the current status of each of these approaches. The physics of aging dynamics in disordered materials and the rheology of soft glassy materials are then discussed, and recent theoretical progress is described. For each section, we give an extensive overview of the most recent advances, but we also describe in some detail the important open problems that, we believe, will occupy a central place in this field in the coming years.Comment: 68 pages; 21 figs; 481 reference

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Section: Mean-field Glass Theory and Complex Free Energy Landscapesmentioning

confidence: 99%

“…Note that using the value θ = 3/2 with θ = ψ simplifies Eq. (61) into a form that is wellknown experimentally and relates log τ α directly to 1/S c , which is the celebrated Adam-Gibbs relation (Adam and Gibbs, 1965) between relaxation time and configurational entropy. As discussed in Sec.…”

Section: Quantitative Computations Using Replicamentioning

confidence: 99%

Theoretical perspective on the glass transition and amorphous materials

2011

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“…At 90 °C, all plasticized samples have ionic conductivities of above 10 −3 S cm −1 . It has been shown that the behavior from ionic conductivity of SPEs deviates from Arrhenius equation, and modified Vogel–Tamman–Fulcher (VTF) equation is typically used to better describe the behavior

σ = A T^{- \frac{1}{2}} \exp ([], - \frac{E_{a}}{R (T - T_{0})})

where A is related to the number of charge carriers, E a is the activation energy of the of the system with a unit of kJ, R is the ideal gas constant, and T 0 as the equilibrium glass‐transition temperature ( T g ‐ 50 °C) . Modified VTF fitting was performed on the ionic conductivity data, and the VTF constants measured are show in Table 2 .…”

Section: Resultsmentioning

confidence: 99%

Plasticized Hybrid Network Solid Polymer Electrolytes for Lithium‐Metal Batteries

Huang

Pan

Smith

et al. 2018

Adv Materials Inter

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Incorporating solid polymer electrolyte (SPE) into lithium metal batteries has the benefit of employing the electrolyte as the electrode separator while inhibiting the growth of lithium dendrites. The two main models on lithium dendrite growth show that either ionic conductivity or mechanical property affect lithium dendrite nucleation and growth rate. In this work, with a well‐controlled hybrid network SPE as the model system, the modulus and conductivity of the hybrid SPEs are systematically tuned by plasticizing the network with low molecular with diluents. This systematic property control allows for establishing the correlation between mechanical/electrochemical properties of the SPEs with their propensity of lithium dendrite resistance using galvanostatic polarization and cycling experiments. It is further demonstrated that lithium metal batteries can be operated at 30 °C for the plasticized SPEs due to the dramatically improved conductivity.

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“…where we have used (20) (with ǫ = ǫ 1 ) and the expression for the viscosity γ (B10). This expression shows that the relaxation time is thermally activated and that the main effect of the disorder on the relaxation time is through the activation barrier which is proportional to ǫ.…”

Section: B Mode Correlations and Responsesmentioning

confidence: 99%

“…However, generic and universal aspects of the nonequilibrium thermal properties in glassy systems are expected beyond the specific properties of the system under study. This has motivated the appearance over the past decades of several phenomenological approaches to the glassy state, from the old free volume theories to the Adam-Gibbs-DiMarzio entropic theories 20 , the free-energy landscape approaches 21 until the more recent mosaic pictures 22,23 .…”

Section: Introductionmentioning

confidence: 99%

Mode-dependent nonequilibrium temperature in aging systems

Garriga

Ritort

2005

Phys. Rev. E

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We introduce an exactly solvable model for glassy dynamics with many relaxational modes, each one characterized by a different relaxational time scale. Analytical solution of the aging dynamics at low temperatures shows that a nonequilibrium or effective temperature can be associated to each time scale or mode. The spectrum of effective temperatures shows two regions that are separated by an age-dependent boundary threshold. Region I is characterized by partially equilibrated modes that relax faster than the modes at the threshold boundary. Thermal fluctuations and time correlations for modes in region I show that those modes are in mutual thermal equilibrium at a unique age-dependent effective temperature ⍜͑s͒. In contrast, modes with relaxational time scales longer than that of modes at the threshold ͑region II͒ show diffusive properties and do not share the common temperature ⍜͑s͒. The shift of the threshold toward lower energy modes as the system ages, and the progressive shrinking of region II, determines how the full spectrum of modes equilibrates. As is usually done in experiments, we have defined a frequency-dependent effective temperature and we have found that all modes in region I are mutually equilibrated at the temperature ⍜͑s͒ independently of the probing frequency. The present model aims to explain transport anomalies observed in supercooled liquids in terms of a collection of structurally disordered and cooperative rearranging mesoscopic regions.

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Sixth Symposium on Microdosimetry, edited by J. Booz and H. G. Ebert

Cited by 125 publications

References 0 publications

Theoretical perspective on the glass transition and amorphous materials

Theoretical perspective on the glass transition and amorphous materials

Plasticized Hybrid Network Solid Polymer Electrolytes for Lithium‐Metal Batteries

Mode-dependent nonequilibrium temperature in aging systems

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