13 citations · 15 across the 8 of their papers we have counts for
9 papers
Maximal Multiplicity Method for Optimal Damping Problem
Maxim Arnold, Oleg Gendelman, Vadim Zharnitsky
We study the problem of designing optimal damping for a system of coupled linear oscillators. Using the Weyl--Horn theorem, we construct an explicit damping matrix that realize…
The Trachenko-Zaccone equation: nonlinear relaxation from glasses to complex systems
Alessio Zaccone, Valeriy V. Ginzburg, Oleg V. Gendelman +2
The Trachenko-Zaccone equation provides a compact nonlinear dynamical framework for describing non-Debye relaxation in disordered condensed matter. Originally developed to rational…
Critical damping in linear system with two degrees of freedom: surprises and pitfalls
Maxim D. Arnold, Oleg V. Gendelman, Vadim Zharnitsky
In this Brief Communication, we establish the notion of critical damping for generic two-degree-of-freedom system. For given set of masses and stiffnesses, the critical damping cor…
Modeling the Fatigue Behavior of Amorphous Polymers
Valeriy V. Ginzburg, Oleg V. Gendelman, Alessio Zaccone
Prediction of material durability is both very important and very difficult. In many cases, material durability is measured by subjecting a sample to repeating oscillatory cycles (…
Infinite Set of Resonances in the Linear Damped Oscillator Subject to Harmonic Forcing with Non-standard Frequency Modulation
Oleg V. Gendelman, Luis M. Baldelomar Pinto, Lawrence A. Bergman +1
It is shown that harmonic signals incorporating a type of weak non-standard frequency modulation (wNSFM) have interesting spectral properties, namely, time-dependent bandwidths tha…
General Two-Parameter Model of Alpha-Relaxation in Glasses
Valeriy V. Ginzburg, Oleg Gendelman, Riccardo Casalini +1
In the vicinity of the glass transition, the characteristic relaxation time (e.g., the alpha-relaxation time in dielectric spectroscopy) of a glass-former exhibits a strongly super…
New Insights into the Dependence of Glass Transition Temperature and Dynamic Fragility on Molecular Weight in Oligomers and Polymers
Valeriy V. Ginzburg, Oleg V. Gendelman, Riccardo Casalini +1
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…
Universality of Dynamic and Thermodynamic Behavior of Polymers near their Glass Transition
Valeriy V. Ginzburg, Oleg V. Gendelman, Riccardo Casalini +1
Describing the dynamics and thermodynamics of amorphous materials near the glass transition is a major challenge in soft-matter physics and polymer engineering. Here, we show that…
Unified physical framework for stretched-exponential, compressed-exponential, and logarithmic relaxation phenomena in glassy polymers
Valeriy V. Ginzburg, Oleg V. Gendelman, Alessio Zaccone
We develop a simple yet comprehensive nonlinear model to describe relaxation phenomena in amorphous glass-formers near the glass transition temperature. The model is based on the t…