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Considering the dynamics of non-interacting particles randomly moving on a lattice, the occurrence of a discontinuous transition in the values of the lattice parameters (lattice spacing and hopping times) determines the uprisal of two…

Statistical Mechanics · Physics 2019-07-24 Massimiliano Giona , Davide Cocco

We propose an interacting lattice gas model of structural glass characterized by particle distinguishability and site-particle-dependent random nearest-neighboring particle interactions. This incorporates disorder quenched in the…

Statistical Mechanics · Physics 2017-05-24 Ling-Han Zhang , Chi-Hang Lam

We compute the phase diagram of a one-dimensional model of spinless fermions with pair-hopping and nearest-neighbor interaction, first introduced by Ruhman and Altman, using the density-matrix renormalization group combined with various…

Strongly Correlated Electrons · Physics 2021-09-23 Lorenzo Gotta , Leonardo Mazza , Pascal Simon , Guillaume Roux

The model of a tired random walker, whose jump-length decays exponentially in time, is proposed and the motion of such a tired random walker is studied systematically in one, two and three dimensional contin- uum. In all cases, the…

Statistical Mechanics · Physics 2015-11-17 Muktish Acharyya

The phase diagram for a two-dimensional self-avoiding walk model on the square lattice incorporating attractive short-ranged interactions between parallel sections of walk is derived using numerical transfer matrix techniques. The model…

Statistical Mechanics · Physics 2009-11-07 D. P. Foster , F. Seno

We investigate the phase separation in one-dimensional Fermi gases on optical lattices. The density distributions and the magnetization are calculated by means of density-matrix renormalization method. The phase separation between spin-up…

Quantum Gases · Physics 2015-05-18 A-Hai Chen , Gao Xianlong

A modification of the one-dimensional Fermi accelerator model is considered in this work. The dynamics of a classical particle of mass $m$, confined to bounce elastically between two rigid walls where one is described by a non-linear van…

Chaotic Dynamics · Physics 2015-06-05 Tiago Botari , Edson Denis Leonel

Understanding the physics of phase-separation between solid and fluid phases as a mixture mass moves down slope is a long-standing challenge. Here, we propose an extension of the two phase mass flow model (Pudasaini, 2012) by including a…

Geophysics · Physics 2022-06-17 Shiva P. Pudasaini , Jan-Thomas Fischer

We study the dynamics of a particle moving in a square two-dimensional Lorentz lattice-gas. The underlying lattice-gas is occupied by two kinds of rotators, "right-rotator (R)" and "left-rotator (L)" and some of the sites are empty…

Soft Condensed Matter · Physics 2021-01-06 Pranay Bimal Sampat , Sameer Kumar , Shradha Mishra

This contribution reports on the research project SKRIBT and some of its results. An evacuation simulation based on VISSIM's pedestrian dynamics simulation was developed, that -- with high time resolution -- integrates results from studies…

Computational Physics · Physics 2014-02-10 Tobias Kretz , Georg Mayer , Andreas Muehlberger

Identifying and quantifying factors influencing human decision making remains an outstanding challenge, impacting the performance and predictability of social and technological systems. In many cases, system failures are traced to human…

We propose a hierarchy of kinetic and macroscopic models for a system consisting of a large number of interacting pedestrians. The basic interaction rules are derived from earlier work where the dangerousness level of an interaction with…

Mathematical Physics · Physics 2017-09-20 Pierre Degond , Cécile Appert-Rolland , Julien Pettré , Guy Theraulaz

The hopping motion of classical particles on a chain coupled to reservoirs at both ends is studied for parallel dynamics with arbitrary probabilities. The stationary state is obtained in the form of an alternating matrix product. The…

Condensed Matter · Physics 2009-10-28 A. Honecker , I. Peschel

This article introduces a simulation platform to study complex crowd behavior in social context. The agent-based model is extended based on the social force model, and it mainly describes how agents interact with each other, and also with…

Physics and Society · Physics 2025-01-17 Peng Wang , Xiaoda Wang , Peter Luh , Neal Olderman , Christian Wilkie , Timo Korhonen

In this paper we develop a framework for parameter estimation in macroscopic pedestrian models using individual trajectories -- microscopic data. We consider a unidirectional flow of pedestrians in a corridor and assume that the velocity…

Analysis of PDEs · Mathematics 2019-03-26 Susana N. Gomes , Andrew M. Stuart , Marie-Therese Wolfram

This paper works on one of the most recent pedestrian crowd evacuation models, i.e., "a simulation model for pedestrian crowd evacuation based on various AI techniques", developed in late 2019. This study adds a new feature to the developed…

We discuss a reaction-diffusion model in one dimension subjected to an external driving force. Each lattice site may be occupied by at most one particle. The particles hop with asymmetric rates (the sum of which is one) to the right or left…

Condensed Matter · Physics 2016-08-31 Jaime E. Santos , Gunter M. Schutz , Robin B. Stinchcombe

Crowd simulation is rapidly becoming a standard tool for evacuation planning and evaluation. However, the many crowd models in the literature are structurally different, and few have been rigorously calibrated against real-world egress…

Multiagent Systems · Computer Science 2014-02-05 Vaisagh Viswanathan , Chong Eu Lee , Michael Harold Lees , Siew Ann Cheong , Peter M. A. Sloot

In this work we propose a two-dimensional extension of a previously defined one-dimensional version of a model of counterflowing particles, which considers an adapted Fermi-Dirac distribution to describe the transition probabilities. In…

Soft Condensed Matter · Physics 2020-09-02 E. V. Stock , R. da Silva

We introduce the generalized diffusive epidemic process, which is a metapopulation model for an epidemic outbreak where a non-sedentary population of walkers can jump along lattice edges with diffusion rates $D_S$ or $D_I$ if they are…

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