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Fracture in a disordered lattice system is studied. In our system, particles are initially arranged on the triangular lattice and each nearest-neighbor pair is connected with a randomly chosen soft or hard Hookean spring. Every spring has…

Soft Condensed Matter · Physics 2013-05-29 Chiyori Urabe , Shinji Takesue

In the present work the dynamics of a continuous inextensible chain is studied. The chain is regarded as a system of small particles subjected to constraints on their reciprocal distances. It is proposed a treatment of systems of this kind…

Statistical Mechanics · Physics 2015-05-27 Franco Ferrari , Maciej Pyrka

Composite materials are often stronger than their constituents. We demonstrate this through a spring network model on a square lattice. Two different types of sites (A and B) are distributed randomly on the lattice, representing two…

Statistical Mechanics · Physics 2010-04-06 Supti Sadhukhan , Tapati Dutta , Soma Nag , Sujata Tarafdar

We discuss the threshold activated extremal dynamics that is prevalent in the breakdown processes in heterogeneous materials. We model such systems by an elastic spring network with random breaking thresholds assigned to the springs.…

Statistical Mechanics · Physics 2007-05-23 Purusattam Ray

In this work, we present evidence for the spontaneous breaking of a continuous symmetry in a nearest-neighbour interacting spin-1 chain tuned to a quantum critical point at $T=0$ between two XY quasi-long-range order phases differing by the…

Statistical Mechanics · Physics 2025-11-18 R. Flores-Calderón , M. Zündel

The fracture and severing of polymer chains plays a critical role in the failure of fibrous materials and the regulated turnover of intracellular filaments. Using continuum wormlike chain models, we investigate the fracture of semiflexible…

Statistical Mechanics · Physics 2020-03-05 Alexander Lorenzo , Enrique M. De La Cruz , Elena F. Koslover

We study the interplay between active Brownian particles (ABPs) and a hairy surface in two dimensional geometry. We find that the increase of propelling force leads to and enhances inhomogeneous accumulation of ABPs inside the brush region.…

Soft Condensed Matter · Physics 2018-07-04 Qiu-song Yang , Qing-wei Fan , Zhuang-lin Shen , Yi-qi Xia , Wen-de Tian , Kang Chen

We study a functional defined on the class of piecewise constant functions, combining a jump penalization, which discourages discontinuities, with a fidelity term that penalizes deviations from a given linear function, called the forcing…

Analysis of PDEs · Mathematics 2025-06-23 Massimo Gobbino , Nicola Picenni

Fatigue caused by cyclic bending of a piece of material, resulting in its mechanical failure, is a phenomenon that had been studied for ages by engineers and physicists alike. In this Letter we study such fatigue in a strip of athermal…

Soft Condensed Matter · Physics 2021-03-05 Bhanu Prasad Bhowmik , H. G. E. Hentschel , Itamar Procaccia

We study the swelling of a flexible linear chain composed of active particles by analytical theory and computer simulation. Three different situations are considered: a free chain, a chain confined to an external harmonic trap, and a chain…

Soft Condensed Matter · Physics 2015-03-31 Andreas Kaiser , Sonja Babel , Borge ten Hagen , Christian von Ferber , Hartmut Löwen

A polymer chain pinned in space exerts a fluctuating force on the pin point in thermal equilibrium. The average of such fluctuating force is well understood from statistical mechanics as an entropic force, but little is known about the…

Statistical Mechanics · Physics 2015-07-22 James T. Waters , Harold D. Kim

A functional integral formalism is used to derive the extension of a stiff chain subject to an external force. The force versus extension curves are calculated using a meanfield approach in which the hard constraint $u^2(s)=1$ is replaced…

Condensed Matter · Physics 2009-10-28 B. -Y. Ha , D. Thirumalai

The dynamics of a spring-block train placed on a moving conveyor belt is investigated both by simple experiments and computer simulations. The first block is connected by spring to an external static point, and due to the dragging effect of…

Chaotic Dynamics · Physics 2016-05-20 Bulcsú Sándor , Ferenc Járai-Szabó , Tamás Tél , Zoltán Néda

We analyze the stretching elasticity of a wormlike chain with a tension discontinuity resulting from a Hookean spring connecting its backbone to a fixed point. The elasticity of isolated semiflexible filaments has been the subject in a…

Biological Physics · Physics 2016-05-25 Mohammadhosein Razbin , Panayotis Benetatos , Annette Zippelius

In this work the dynamics of a freely jointed random chain which fluctuates at constant temperature in some viscous medium is studied. The chain is regarded as a system of small particles which perform a brownian motion and are subjected to…

Statistical Mechanics · Physics 2015-05-13 Franco Ferrari , Jaroslaw Paturej , Thomas A. Vilgis

The work dissipated in pulling a polymer chain with internal friction is numerically calculated by considering a sequence of $N$ bead-spring-dashpots tethered at one end and being pulled at the other using a harmonic trap via linear and…

Soft Condensed Matter · Physics 2025-07-09 R. Kailasham

We analyse the nature of the confinement of an infinitely long (and finite) linear semiflexible homo-polymer chain confined in between two geometrical constraints (A&B) under good solvent condition in two dimensions. The constraints are…

Soft Condensed Matter · Physics 2017-10-16 Pramod Kumar Mishra

The rainbow chain is an inhomogenous exactly solvable local spin model that, in its ground state, displays a half-chain entanglement entropy growing linearly with the system size. Although many exact results about the rainbow chain are…

Strongly Correlated Electrons · Physics 2017-03-20 Javier Rodríguez-Laguna , Jérôme Dubail , Giovanni Ramírez , Pasquale Calabrese , Germán Sierra

Mechanical stretching of secondary structures is studied through molecular dynamics simulations of a Go-like model. Force vs. displacement curves are studied as a function of the stiffness and velocity of the pulling device. The succession…

Soft Condensed Matter · Physics 2007-05-23 Marek Cieplak , Trinh Xuan Hoang , Mark O. Robbins

For $\alpha \in (1,2]$, the $\alpha$-stable graph arises as the universal scaling limit of critical random graphs with i.i.d. degrees having a given $\alpha$-dependent power-law tail behavior. It consists of a sequence of compact measured…

Probability · Mathematics 2020-07-09 Christina Goldschmidt , Bénédicte Haas , Delphin Sénizergues