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The mechanics of the structured particles develops. The substantiation of applicability of such mechanics for the description of processes of evolution in open nonequilibrium systems is offered. The consequences following from the equations…

General Physics · Physics 2012-10-03 V. M. Somsikov

Heteropolymers are ubiquitous in both synthetic systems, such as block copolymers, and biological macromolecules, including proteins and nucleic acids. Beyond their chemical composition, these polymers often exhibit spatial variations in…

Soft Condensed Matter · Physics 2025-04-02 Arvind Saini , Rajiblochan Sahoo , Rajarshi Chakrabarti , Sayantan Dutta

Implant placement under soft tissues operation is described. In this operation tissues can reach such deformations that nonlinear properties are appeared. A mass-spring model modification for modeling nonlinear tissue operation is…

Numerical Analysis · Computer Science 2014-03-11 Sergei Nikolaev

The common approach to crack dynamics, linear elastic fracture mechanics (LEFM), assumes infinitesimal strains and predicts a $r^{-1/2}$ strain divergence at a crack tip. We extend this framework by deriving a weakly nonlinear fracture…

Materials Science · Physics 2009-11-13 Eran Bouchbinder , Ariel Livne , Jay Fineberg

A note on "Bayesian nonparametric estimators derived from conditional Gibbs structures" by Antonio Lijoi, Igor Pr\"{u}nster, Stephen G. Walker [arXiv:0808.2863].

Probability · Mathematics 2014-01-17 Antonio Lijoi , Igor Prünster , Stephen G. Walker

In this note, we have shown special case on Routh stability criterion, which is not discussed, in previous literature. This idea can be useful in computer science applications.

Numerical Analysis · Computer Science 2010-04-28 T. D. Roopamala , S. K. Katti

A comment on the paper "Truncated Schwinger-Dyson Equations and Gauge Covariance in QED3", Few-Body Syst. 41, 185 (2007) [hep-ph/0511291].

High Energy Physics - Phenomenology · Physics 2008-07-09 S. -Y. Wang

Semi-active vibration reduction techniques are defined as techniques in which controlled actions do not operate directly on the system's degrees of freedom (as in the case of active vibration control) but on the system's parameters, i.e.,…

Dynamical Systems · Mathematics 2021-05-17 Alexander Nowak , L. Flavio Campanile , Alexander Hasse

This paper comments on the published work dealing with robustness and regularization of support vector machines (Journal of Machine Learning Research, vol. 10, pp. 1485-1510, 2009) [arXiv:0803.3490] by H. Xu, etc. They proposed a theorem to…

Machine Learning · Computer Science 2013-08-20 Yahya Forghani , Hadi Sadoghi Yazdi

I review and discuss the contributions of Aron Bernstein to the field of chiral dynamics.

High Energy Physics - Phenomenology · Physics 2022-01-04 Ulf-G. Meißner

This is a comment on publication in Phys. Rev. Lett. 90, 087205 (2003): ``Exchange interaction parameters and adiabatic spin-wave spectra of ferromagnets: A `renormalized magnetic force theorem'''

Materials Science · Physics 2007-05-23 V. P. Antropov

We study a non-linear dynamical system on networks inspired by the pitchfork bifurcation normal form. The system has several interesting interpretations: as an interconnection of several pitchfork systems, a gradient dynamical system and…

Dynamical Systems · Mathematics 2021-08-19 Karel Devriendt , Renaud Lambiotte

With regard to the recently published article, ``Y.-Q. Wang, et al., Physical mechanism of equiprobable exclusion network with heterogeneous interactions in phase transitions: Analytical analyses of steady state evolving from initial state,…

Statistical Mechanics · Physics 2022-01-19 Takahiro Ezaki

A brief review is given of topics relating to dynamical processes arising in nonlinear interactions between light and resonant systems (atoms or molecules) in the presence of a magnetic field.

Atomic Physics · Physics 2009-11-10 E. B. Alexandrov , M. Auzinsh , D. Budker , D. F. Kimball , S. M. Rochester , V. V. Yashchuk

Plants live in constantly moving fluid, whether air or water. In response to the loads associated with fluid motion, plants bend and twist, often with great amplitude. These large deformations are not found in traditional engineering…

Soft Condensed Matter · Physics 2020-12-07 Frederick P. Gosselin

Buckling plays a critical role in the transport and dynamics of elastic microfilaments in Stokesian fluids. However, previous work has only considered filaments with homogeneous structural properties. Filament backbone stiffness can be…

Soft Condensed Matter · Physics 2023-01-20 Thomas Nguyen , Harishankar Manikantan

The paper discusses linear fractional representations of parameter-dependent nonlinear systems with dynamics defined by real rational nonlinearities and a finite set of point delays. The global asymptotic stability is investigated via…

Dynamical Systems · Mathematics 2008-03-27 M. De la Sen

Soft materials exhibit significant nonlinear geometric deformations and stress-strain relationships under external forces. This paper explores weakly nonlinear elasticity theories, including Landau's and Murnaghan's formulations, advancing…

Soft Condensed Matter · Physics 2025-04-29 Yangkun Du , Nicholas A Hill , XIaoyu Luo

Energies and equilibrium equations for thin elastic plates are discussed, with emphasis on several issues pertinent to recent approaches in soft condensed matter. Consequences of choice of basis, choice of invariant strain measures, and of…

Soft Condensed Matter · Physics 2019-06-04 J. A. Hanna
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