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Many active matter systems, especially on the microscopic scale, are well approximated as overdamped, meaning that any inertial momentum is immediately dissipated by the environment. On the other hand, especially for macroscopic active…

Soft Condensed Matter · Physics 2020-05-14 Dominic Arold , Michael Schmiedeberg

We study the two-species symbiotic contact process (2SCP), recently proposed in [de Oliveira, Santos and Dickman, Phys. Rev. E {\bf 86}, 011121 (2012)] . In this model, each site of a lattice may be vacant or host single individuals of…

Populations and Evolution · Quantitative Biology 2015-06-22 Marcelo M. de Oliveira , Ronald Dickman

It is investigated how a spatial quenched disorder modifies the dynamics of coupled map lattices. The disorder is introduced via the presence or absence of coupling terms among lattice sites. Two nonlinear maps have been considered…

Statistical Mechanics · Physics 2009-11-11 Achille Giacometti , Maurice Rossi , Libero Battiston

Using mode coupling theory and dynamical Monte-Carlo simulations we investigate the scaling behaviour of the dynamical structure function of a two-species asymmetric simple exclusion process, consisting of two coupled single-lane asymmetric…

Statistical Mechanics · Physics 2014-10-30 Vladislav Popkov , Johannes Schmidt , Gunter Schütz

Damping and thermal fluctuations have been introduced to collective normal modes of a magnetic system in recent modeling of dynamic thermal magnetization processes. The connection between this collective stochastic dynamics and physical…

Condensed Matter · Physics 2009-11-10 H. Neal Bertram , Xiaobin Wang

We study a minimal lattice model which describes bidirectional transport of "particles" driven along a one dimensional track, as is observed in microtubule based, motor protein driven bidirectional transport of cargo vesicles, lipid bodies…

Statistical Mechanics · Physics 2011-09-29 Sudipto Muhuri , Lenin Shagolsem , Madan Rao

We develop a modified version of the totally asymmetric simple exclusion process (TASEP) and use it to reproduce flow on an escalator with two distinct lanes of pedestrian traffic. The model is used to compare strategies with two standing…

Cellular Automata and Lattice Gases · Physics 2020-07-15 Hiroki Yamamoto , Daichi Yanagisawa , Katsuhiro Nishinari

We introduce a new method, which we call stochastic fusion, which takes an exclusion process and constructs an interacting particle systems in which more than one particle may occupy a lattice site. The construction only requires the…

Probability · Mathematics 2019-11-26 Jeffrey Kuan

Systems of interacting random replicators are studied using generating functional techniques. While replica analyses of such models are limited to systems with symmetric couplings, dynamical approaches as presented here allow specifically…

Disordered Systems and Neural Networks · Physics 2009-11-11 Tobias Galla

We use an infinite-range Maier-Saupe model, with two sets of local quadrupolar variables and restricted orientations, to investigate the global phase diagram of a coupled system of two nematic subsystems. The free energy and the equations…

Statistical Mechanics · Physics 2015-06-05 D. B. Liarte , S. R. Salinas

Long-range and anisotropic dipolar interactions profoundly modify the dynamics of particles hopping in a periodic lattice potential. We report the realization of a generalized t-J model with dipolar interactions using a system of ultracold…

Asymmetric exclusion processes with locally reversible kinetic constraints are introduced to investigate the effect of non-conservative driving forces in athermal systems. At high density they generally exhibit rheological-like behavior,…

Statistical Mechanics · Physics 2008-07-25 Mauro Sellitto

By generalizing the algebra of operators of the Asymmetric Simple Exclusion Process (ASEP), a multi-species ASEP in which particles can overtake each other,is defined on both open and closed one dimensional chains. On the ring the steady…

Condensed Matter · Physics 2009-10-31 V. karimipour

This work investigates the effects of tangent polar activity on the conformational and dynamic properties of entangled polymer melts through Langevin molecular dynamics simulations. We examine systems composed of all self-propelled,…

Soft Condensed Matter · Physics 2024-11-19 Javier Oller-Iscar , Andrés R. Tejedor , Marisol Ripoll , Jorge Ramírez

We explore the two-dimensional extended Hubbard model on the triangular lattice in the high doping regime. On-site and nearest-neighbour repulsive interactions are treated in a non-perturbative way by means of Extended Dynamical Mean Field…

Strongly Correlated Electrons · Physics 2017-09-26 Sophie Chauvin , Thomas Ayral , Lucia Reining , Silke Biermann

We propose a modification to the study of site-wise dynamically disordered totally asymmetric simple exclusion process (TASEP). Motivated by the process of gene transcription, a study in ref. \cite{waclaw2019totally} introduced an extension…

Statistical Mechanics · Physics 2024-05-13 Nikhil Bhatia , Arvind Kumar Gupta

Lattice models of coupled dynamical systems lead to a variety of complex behaviors. Between the individual motion of independent units and the collective behavior of members of a population evolving synchronously, there exist more…

Condensed Matter · Physics 2016-08-15 C. J. Pérez , A. Corral , A. Díaz-Guilera , K. Christensen , A. Arenas

Higher-order interactions fundamentally shape collective dynamics in oscillator networks. The topological Kuramoto model captures these effects by extending synchronization models to include interactions between cells of arbitrary dimension…

Adaptation and Self-Organizing Systems · Physics 2026-05-01 Iva Bačić , Michael T. Schaub , Jürgen Kurths , Dirk Witthaut

We study the phase behavior of a symmetric binary polymer blend which is confined into a thin film. The film surfaces interact with the monomers via short range potentials. We calculate the phase behavior within the self-consistent field…

Statistical Mechanics · Physics 2009-10-31 M. Mueller , E. V. Albano , K. Binder

We study the temperature dependence of static and dynamic responses of Coulomb interacting particles in two-dimensional traps across the thermal crossover from an amorphous solid- to liquid-like behaviors. While static correlations, that…

Disordered Systems and Neural Networks · Physics 2017-10-11 Biswarup Ash , J. Chakrabarti , Amit Ghosal
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