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The mathematical modeling and the stability analysis of multi-lane traffic in the macroscopic scale is considered. We propose a new first order model derived from microscopic dynamics with lane changing, leading to a coupled system of…

Analysis of PDEs · Mathematics 2023-12-04 Matteo Piu , Michael Herty , Gabriella Puppo

Biological transport is supported by collective dynamics of enzymatic molecules that are called motor proteins or molecular motors. Experiments suggest that motor proteins interact locally via short-range potentials. We investigate the…

Statistical Mechanics · Physics 2015-06-18 Hamid Teimouri , Anatoly B. Kolomeisky , Kareem Mehrabiani

The transportation of the cargoes in biological cells is primarily driven by the motor proteins on filamentous protein tracks. The stochastic nature of the motion of motor protein often leads to its spontaneous detachment from the track.…

Subcellular Processes · Quantitative Biology 2018-11-29 Mohd Suhail Rizvi

We introduce a macroscopic model for a network of conveyor belts with various speeds and capacities. In a different way from traffic flow models, the product densities are forced to move with a constant velocity unless they reach a maximal…

Analysis of PDEs · Mathematics 2018-10-23 Adriano Festa , Simone Göttlich , Marion Pfirsching

We study a generic one-dimensional model for an intracellular cargo driven by N motor proteins against an external applied force. The model includes motor-cargo and motor-motor interactions. The cargo motion is described by an over-damped…

Biological Physics · Physics 2017-04-05 Deepak Bhat , Manoj Gopalakrishnan

Using molecular dynamics simulations we study the slow dynamics of a hard sphere fluid confined in a disordered porous matrix. The presence of both discontinuous and continuous glass transitions as well as the complex interplay between…

Soft Condensed Matter · Physics 2009-09-29 Jan Kurzidim , Daniele Coslovich , Gerhard Kahl

Biological machines like molecular motors and enzymes operate in dynamic cycles representable as stochastic flows on networks. Current stochastic dynamics describes such flows on fixed networks. Here, we develop a scalable approach to…

Statistical Mechanics · Physics 2026-03-02 Ying-Jen Yang , Ken A. Dill

Here we generalize our previous model of molecular motors trafficking subdiffusing cargos in viscoelastic cytosol by (i) including mechanochemical coupling between cyclic conformational fluctuations of the motor protein driven by the…

Biological Physics · Physics 2015-05-01 Igor Goychuk

We consider the effect of a small cut-off epsilon on the velocity of a traveling wave in one dimension. Simulations done over more than ten orders of magnitude as well as a simple theoretical argument indicate that the effect of the cut-off…

Condensed Matter · Physics 2009-10-31 Eric Brunet , Bernard Derrida

A model equation has been proposed to describe bimodal features in vehicular traffic flows. The dynamics of the bimodal distribution reveals the existence of a fixed point that is connected to itself by a homoclinic trajectory. The…

Physics and Society · Physics 2014-04-15 Arjun Mullick , Arnab K. Ray

Strong driving of quantum systems opens opportunities for both controlling and characterizing their states. For theoretical studying of these systems properties we use the rate-equation formalism. The advantage of such approach is its…

Mesoscale and Nanoscale Physics · Physics 2023-07-04 M. P. Liul , S. N. Shevchenko

We report measurements in a 2-dimensional, gravity-driven, collisional, granular flow of the normal force delivered to the wall and of particle velocity at several points in the flow. The wall force and the flow velocity are negatively…

Soft Condensed Matter · Physics 2007-05-23 Emily Gardel , Ellen Keene , Sonia Dragulin , Nalini Easwar , Narayanan Menon

Molecular motors perform active movements along cytoskeletal filaments and drive the traffic of organelles and other cargo particles in cells. In contrast to the macroscopic traffic of cars, however, the traffic of molecular motors is…

Statistical Mechanics · Physics 2009-12-04 Stefan Klumpp , Melanie J. I. Müller , Reinhard Lipowsky

Energy transport can reveal information about interacting many-body systems beyond other transport probes. In particular, in one dimension it has been shown that the energy current is directly proportional to the central charge, thus…

Strongly Correlated Electrons · Physics 2020-05-27 Sonja Fischer , Christoph Karrasch , Dirk Schuricht , Lars Fritz

Due to the complexity of the traffic flow dynamics in urban road networks, most quantitative descriptions of city traffic so far are based on computer simulations. This contribution pursues a macroscopic (fluid-dynamic) simulation approach,…

Fluid Dynamics · Physics 2015-03-18 Amin Mazloumian , Nikolas Geroliminis , Dirk Helbing

The purpose of this paper is to study the properties of kinetic models for traffic flow described by a Boltzmann-type approach and based on a continuous space of microscopic velocities. In our models, the particular structure of the…

Numerical Analysis · Mathematics 2016-12-30 Gabriella Puppo , Matteo Semplice , Andrea Tosin , Giuseppe Visconti

An electron transport is studied in the system which consists of scanning tunneling microscopy-single molecule magnet-metal. Due to quantum tunneling of magnetization in single-molecule magnet, linear response conductance exhibits stepwise…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Gwang-Hee Kim , Tae-Suk Kim

The thermodynamic uncertainty relation provides an inequality relating any mean current, the associated dispersion and the entropy production rate for arbitrary non-equilibrium steady states. Applying it here to a general model of a…

Statistical Mechanics · Physics 2017-01-05 Patrick Pietzonka , Andre C. Barato , Udo Seifert

Floating car data of car-following behavior in cities were compared to existing microsimulation models, after their parameters had been calibrated to the experimental data. With these parameter values, additional simulations have been…

Statistical Mechanics · Physics 2009-10-31 Dirk Helbing , Benno Tilch

A possible way to extract information about the reversible dissociation of a molecular adhesion bond from force fluctuations observed in force ramp experiments is discussed. For small loading rates the system undergoes a limited number of…

Statistical Mechanics · Physics 2015-06-18 Gregor Diezemann