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Single partially confined collapsed polymers are studied in two dimensions. They are described by self-avoiding random walks with nearest-neighbour attractions below the $\Theta$-point, on the surface of an infinitely long cylinder. For the…

Statistical Mechanics · Physics 2009-11-07 Hsiao-Ping Hsu , Peter Grassberger

Stretched exponential relaxation ($\exp{-(t/\tau)}^{\beta_K}$) is observed in a large variety of systems but has not been explained so far. Studying random walks on percolation clusters in curved spaces whose dimensions range from 2 to 7,…

Disordered Systems and Neural Networks · Physics 2009-10-31 Philippe Jund , Remi Jullien , Ian Campbell

A new relaxation mechanism is shown to arise from overdamped two-level systems above a critical temperature $T^*\approx 5$ K, thus yielding an explanation for experimental observations in dielectric glasses in the temperature range between…

Condensed Matter · Physics 2009-10-22 Peter Neu , Alois Würger

We study the effect of rapid quench to zero temperature in a model with competing interactions, evolving through conserved spin dynamics. In a certain regime of model parameters, we find that the model belongs to the broader class of…

Soft Condensed Matter · Physics 2020-08-12 Vaibhav Gupta , Saroj Kumar Nandi , Mustansir Barma

Based on the modified Thouless-Anderson-Palmer equations a detailed numerical investigation for the complexity of the Sherrington-Kirkpatrick spin glass is worked out. The data suggest a scaling law which leads to a vanishing of the…

Disordered Systems and Neural Networks · Physics 2007-05-23 T. Plefka

We study the thermodynamics of discrete breathers by transforming a lattice of weakly coupled nonlinear oscillators into an effective Ising pseudospin model. We introduce a replica ensemble and investigate the effective system…

Statistical Mechanics · Physics 2007-05-23 M. Eleftheriou , G. P. Tsironis

We take advantage of the approximation of the stretched exponential function with a general Prony series in glass relaxation to give some results about the spectral analysis for the equation of viscoelasticity. Moreover, in the case of the…

Analysis of PDEs · Mathematics 2019-06-26 Paola Loreti , Daniela Sforza

Glassy polymers show strain hardening: at constant extensional load, their flow first accelerates, then arrests. Recent experiments under such loading have found this to be accompanied by a striking dip in the segmental relaxation time.…

Soft Condensed Matter · Physics 2015-06-11 S. M. Fielding , R. L. Moorcroft , R. G. Larson , M. E. Cates

In the present work we present a fractal model for the beta relaxation in supercooled liquids. The macroscopic dynamics is obtained by superposition of relaxation of independent mesoscopic regions (cages). Scaling relations and exponents…

Soft Condensed Matter · Physics 2007-05-23 Alexei Vazquez , Oscar Sotolongo-Costa

Stretched exponential relaxation of a quantity n versus time t according to n = n_0 exp[-(lambda* t)^beta] is ubiquitous in many research fields, where lambda* is a characteristic relaxation rate and the stretching exponent beta is in the…

Statistical Mechanics · Physics 2010-11-12 D. C. Johnston

At low temperatures the dynamical degrees of freedom in amorphous solids are tunnelling two-level systems (TLSs). Concentrating on these degrees of freedom, and taking into account disorder and TLS-TLS interactions, we obtain a "TLS-glass",…

Disordered Systems and Neural Networks · Physics 2020-07-27 Ofek Asban , Ariel Amir , Yoseph Imry , Moshe Schechter

Simulations of a stochastic fixed-energy sandpile in one and two dimensions reveal slow relaxation of the order parameter, even far from the critical point. The decay of the activity is best described by a stretched-exponential form. The…

Statistical Mechanics · Physics 2009-11-07 Ronald Dickman

A recent study [1] about the scaling with the aspect ratio (i.e. the ratio between the major and minor radius of the torus) of the dominant mode in Single Helical (SH) Reverse Field Pinch (RFP) plasmas has shown, at intermediate aspect…

Plasma Physics · Physics 2018-08-15 R. Paccagnella , S. Masamune , A. Sanpei

We consider the variational formulation of both geometrically linear and geometrically nonlinear elasto-plasticity subject to a class of hard single-slip conditions. Such side conditions typically render the associated boundary-value…

Analysis of PDEs · Mathematics 2015-06-18 Keith Anguige , Patrick W. Dondl

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-Arrhenius temperature dependence, as compared to the…

Disordered Systems and Neural Networks · Physics 2026-04-16 Valeriy V. Ginzburg , Oleg Gendelman , Riccardo Casalini , Alessio Zaccone

We performed calorimetric and torsion stress relaxation measurements upon linear heating of six conventional and high-entropy metallic glasses with the mixing entropy {\Delta}Smix ranging from 0.86R to 1.79R (R is the universal gas…

Disordered Systems and Neural Networks · Physics 2025-05-26 G. V. Afonin , S. L. Scherbakov , R. A. Konchakov , N. P. Kobelev , J. B. Cui , J. C. Qiao , V. A. Khonik

Employing wide-angle neutron spin echo spectroscopy, we measured the Q-dependent coherent intermediate scattering function of the prototypical ionic glass former Ca0.4K0.6(NO3)1.4, in the equilibrium and supercooled liquid states beyond the…

A computational approach is presented to obtain energy-minimized structures in glassy materials. This approach, the activation-relaxation technique (ART), achieves its efficiency by focusing on significant changes in the microscopic…

Condensed Matter · Physics 2009-10-28 G. T. Barkema , Normand Mousseau

We present a detailed analysis of the beta-relaxation dynamics of a simple glass former, a Lennard-Jones system with a stochastic dynamics. By testing the various predictions of mode-coupling theory, including the recently proposed…

Statistical Mechanics · Physics 2015-06-25 Tobias Gleim , Walter Kob

The dynamics of spin-lattice relaxation (slr) of metal-organic Pt(II) compounds is studied. Often, such systems are characterized by pronounced zero-field splittings (zfs) of the lowest-lying triplets. Previous expressions for the Orbach…

Chemical Physics · Physics 2021-12-14 Herbert H. H. Homeier , Johann Strasser , Hartmut Yersin