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Complex networks have certain properties that distinguish them from their respective uniform or regular counterparts. One of these properties is the variation of topological properties along different hierarchical levels. In this work, we…

Pattern Formation and Solitons · Physics 2023-06-19 Alexandre Benatti , Luciano da Fontoura Costa

We investigate the properties of membranes under tension by Monte-Carlo simulations of a generic coarse-grained model for lipid bilayers. We give a comprising overview of the behavior of several membrane characteristics, such as the area…

Biological Physics · Physics 2010-03-17 Jörg Neder , Beate West , Peter Nielaba , Friederike Schmid

We study a discrete-time interacting particle system with continuous state space which is motivated by a mathematical model for turnover through branching in actin filament networks. It gives rise to transient clusters reminiscent of actin…

Probability · Mathematics 2024-10-01 Cecilia González-Tokman , Dietmar B. Oelz

This paper proposes a new approach, grounded in Satisfiability Modulo Theories (SMT), to study the transient of a Max-Plus Linear (MPL) system, that is the number of steps leading to its periodic regime. Differently from state-of-the-art…

Systems and Control · Electrical Eng. & Systems 2020-07-09 Alessandro Abate , Alessandro Cimatti , Andrea Micheli , Muhammad Syifa'ul Mufid

We employ an equivalent-circuit model of a multi-cell cavity to explore its time-dependent behavior in order to understand differences between the multi-cell model and the commonly-used model of a single-cell resonator. Furthermore, we…

Accelerator Physics · Physics 2026-02-27 Volker Ziemann

We present a mean-field theory of a coarse-grained model of a super-cooled liquid in which relaxation occurs via local plastic rearrangements. Local relaxation can be induced by thermal fluctuations or by the long-range elastic consequences…

Soft Condensed Matter · Physics 2023-12-07 Joseph W. Baron , Giulio Biroli

The paper addresses the single-file diffusion in the presence of an absorbing boundary. The emphasis is on an interplay between the hard-core interparticle interaction and the absorption process. The resulting dynamics exhibits several…

Statistical Mechanics · Physics 2014-02-26 Artem Ryabov , Petr Chvosta

Hybrid dynamical systems have proven to be a powerful modeling abstraction, yet fundamental questions regarding the dynamical properties of these systems remain. In this paper, we develop a novel class of relaxations which we use to recover…

Dynamical Systems · Mathematics 2017-10-25 Tyler Westenbroek , S. Shankar Sastry , Humberto Gonzalez

Simple feedback loops, inspired from extremum-seeking, are proposed to lock a probe-frequency to the transition frequency of a single quantum system following quantum Monte-Carlo trajectories. Two specific quantum systems are addressed, a…

Mathematical Physics · Physics 2009-09-09 Mazyar Mirrahimi , Pierre Rouchon

We develop an elasto-plastic description for the transient dynamics prior to steady flow of athermally yielding materials. Our mean-field model not only reproduces the experimentally observed non-linear time dependence of the shear-rate…

Soft Condensed Matter · Physics 2018-02-06 Chen Liu , Kirsten Martens , Jean-Louis Barrat

Large-scale Monte Carlo simulations of the bond-diluted three-dimensional 4-state Potts model are performed. The phase diagram and the physical properties at the phase transitions are studied using finite-size scaling techniques. Evidences…

Statistical Mechanics · Physics 2007-05-23 Christophe Chatelain , Bertrand Berche , Wolfhard Janke , Pierre-Emmanuel Berche

We describe a phase transition that gives rise to structurally non-trivial states in a two-dimensional ordered network of particles connected by harmonic bonds. Monte Carlo simulations reveal that the network supports, apart from the…

Soft Condensed Matter · Physics 2017-04-05 Saswati Ganguly , Jürgen Horbach , Peter Sollich , Parswa Nath , Smarajit Karmakar , Surajit Sengupta

In heterogeneous environments, the diffusivity is not constant but changes with time. It is important to detect changes in the diffusivity from single-particle-tracking trajectories in experiments. Here, we devise a novel method for…

Statistical Mechanics · Physics 2017-12-06 Takuma Akimoto , Eiji Yamamoto

While polymer solutions lack the mechanical stability only transiently cross-linked networks can fulfill the competing requirements of structural stability and maximal energy dissipation. Here, we show that transient cross-links entail…

Soft Condensed Matter · Physics 2009-11-13 O. Lieleg , M. M. A. E. Claessens , Y. Luan , A. R. Bausch

One-dimensional non-equilibrium models of particles subjected to a coagulation-diffusion process are important in understanding non-equilibrium dynamics, and fluctuation-dissipation relation. We consider in this paper transport properties…

Statistical Mechanics · Physics 2015-06-18 Jean-Yves Fortin

We present a formalism of the transition matrix Monte Carlo method. A stochastic matrix in the space of energy can be estimated from Monte Carlo simulation. This matrix is used to compute the density of states, as well as to construct…

Statistical Mechanics · Physics 2011-12-30 Jian-Sheng Wang , Robert H. Swendsen

We consider a reaction-diffusion process with retardation. The particles, immersed in traps initially, remain inactive until another particle is annihilated spontaneously with a rate $\lambda$ at a certain point $\vec x$. In that case the…

Statistical Mechanics · Physics 2015-06-25 Michael Schulz , Steffen Trimper , Knud Zabrocki

The general scheme for the treatment of relaxation processes and temporal autocorrelations of dynamical variables for many particle systems is presented in framework of the recurrence relations approach. The time autocorrelation functions…

Statistical Mechanics · Physics 2013-12-10 Anatolii V. Mokshin

The density relaxation phenomenon is modeled using both Monte Carlo and dissipative MD simulations to investigate the effects of regular taps applied to a vessel having a planar floor filled with monodisperse spheres. Results suggest the…

Disordered Systems and Neural Networks · Physics 2009-01-05 O. Dybenko , A. D. Rosato , D. J. Horntrop , V. Ratnaswamy , L. Kondic

With Monte Carlo simulations, we investigate the relaxation dynamics with a domain wall for magnetic systems at the critical temperature. The dynamic scaling behavior is carefully analyzed, and a dynamic roughening process is observed. For…

Statistical Mechanics · Physics 2012-02-08 N. J. Zhou , B. Zheng