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7 papers

cond-mat.dis-nn2026

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…

physics.class-ph2026

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…

cond-mat.mtrl-sci2026

Modeling the Fatigue Behavior of Amorphous Polymers

Valeriy V. Ginzburg, Oleg V. Gendelman, Alessio Zaccone

The paper derives Basquin's law for fatigue in amorphous polymers using a linearized Long plasticity model, predicts the fatigue exponent m = 3, provides an expression for the pref…

math.DS2026

Robust Resonance due to Non-standard Frequency Modulation

Oleg V. Gendelman, Luis M. Baldelomar Pinto, Lawrence A. Bergman +1

It is shown that harmonic signals incorporating a new type of weak non-standard frequency modulation (wNSFM) have unexpected spectral properties, namely, ever expanding broadband f…

cond-mat.dis-nn2025

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…

cond-mat.soft2025

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…