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Exact solution of the linearized equations for steady-state transport in semiconductors yields two modes that vary exponentially in space, one involving screening (without entropy production) and one involving diffusion and recombination…

Condensed Matter · Physics 2023-02-07 Maja Krčmar , Wayne M. Saslow

The asymmetric exclusion process is an idealised stochastic model of transport, whose exact solution has given important insight into a general theory of nonequilibrium statistical physics. In this work, we consider a totally asymmetric…

Statistical Mechanics · Physics 2018-06-25 Arvind Ayyer , Dipankar Roy

In this paper, we consider the inverse problem of determining some coefficients within a coupled nonlinear parabolic system, through boundary observation of its non-negative solutions. In the physical setup, the non-negative solutions…

Analysis of PDEs · Mathematics 2024-04-23 Hongyu Liu , Catharine W. K. Lo

Chirality, or the breaking of mirror symmetry, appears across all scales in nature, from molecular conformations to the dynamics of bacterial collectives. Environments composed of such symmetry-breaking constituents can give rise to…

The interplay between structure and dynamics in non-equilibrium steady-state is far from understood. We address this interplay by tracking Brownian Dynamics trajectories of particles in a binary colloid of opposite charges in an external…

Soft Condensed Matter · Physics 2016-12-08 Suman Dutta , J. Chakrabarti

We study symmetric simple exclusion processes (SSEP) on a ring in the presence of uniformly moving multiple defects or disorders - a generalization of the model proposed earlier [Phys. Rev. E 89, 022138 (2014)]. The defects move with…

Statistical Mechanics · Physics 2016-06-21 Rakesh Chatterjee , Sakuntala Chatterjee , Punyabrata Pradhan

We consider an inhomogeneous strongly correlated system where external disorder divides it into mesoscopic cells.Strong inter-particle repulsion suppresses the quantum tunneling between cells and open a wide temperature range for incoherent…

Strongly Correlated Electrons · Physics 2007-05-23 Darwin Chang , Dung-Hai Lee

We analyze the non-equilibrium order-disorder transition of Axelrod's model of social interaction in several complex networks. In a small world network, we find a transition between an ordered homogeneous state and a disordered state. The…

Condensed Matter · Physics 2009-11-07 Konstantin Klemm , Victor M. Eguiluz , Raul Toral , Maxi San Miguel

We investigate the nonlinear current-voltage characteristic of mesoscopic conductors and the current generated through rectification of an alternating external bias. To leading order in applied voltages both the nonlinear and the rectified…

Mesoscale and Nanoscale Physics · Physics 2007-11-08 M. L. Polianski , M. Buttiker

Why is it that a ticking clock typically becomes less accurate when subject to outside noise but rarely the reverse? Here, we formalize this phenomenon by introducing process causal asymmetry - a fundamental difference in the amount of past…

Quantum Physics · Physics 2023-09-26 Spiros Kechrimparis , Mile Gu , Hyukjoon Kwon

Circumventing the reciprocity invariance has posed an interesting challenge in the design of modern devices for wave engineering. In passive devices, operating the device in the nonlinear response regime is a common means for realizing…

Applied Physics · Physics 2025-10-07 Andrus Giraldo , Behrooz Yousefzadeh

We prove a duality between the asymmetric simple exclusion process (ASEP) with non-conservative open boundary conditions and an asymmetric exclusion process with particle-dependent hopping rates and conservative reflecting boundaries. This…

Probability · Mathematics 2023-06-27 Gunter M. Schütz

Spontaneous symmetry breaking in nonlinear systems provides a unified method to understand vastly different phenomena, ranging from Higgs mechanism [1] and superconductivity [2] to ecological stability [3] and genome generation [4].…

Optics · Physics 2022-08-11 Chaohan Cui , Liang Zhang , Linran Fan

Boundary driven diffusive systems describe a broad range of transport phenomena. We study large deviations of the density profile in these systems, using numerical and analytical methods. We find that the large deviation may be…

Statistical Mechanics · Physics 2015-10-07 Guy Bunin , Yariv Kafri , Daniel Podolsky

We investigate magnetic-field asymmetries in the linear transport of a mesoscopic conductor interacting with its environment. Interestingly, we find that the interaction between the two systems causes an asymmetry only when the environment…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 David Sanchez , Kicheon Kang

Characterizing the in uence of network properties on the global emerging behavior of interacting elements constitutes a central question in many areas, from physical to social sciences. In this article we study a primary model of disordered…

Disordered Systems and Neural Networks · Physics 2013-10-08 Luis Carlos Garcidel Molino , Khashayar Pakdaman , Jonathan Touboul , Gilles Wainrib

Resistance \rho of an one-dimensional disordered system of length l has the log-normal distribution in the limit of large l. Parameters of this distribution depend on the Fermi level position, but are independent on the boundary conditions.…

Disordered Systems and Neural Networks · Physics 2023-10-11 I. M. Suslov

Recent research on the network modeling of complex systems has led to a convenient representation of numerous natural, social, and engineered systems that are now recognized as networks of interacting parts. Such systems can exhibit a…

Disordered Systems and Neural Networks · Physics 2020-11-12 Adilson E. Motter , Marc Timme

Boundary conditions may change the phase diagram of non-equilibrium statistical systems like the one-dimensional asymmetric simple exclusion process with and without particle number conservation. Using the quantum Hamiltonian approach, the…

High Energy Physics - Theory · Physics 2009-10-22 Malte Henkel , Gunter Schütz

Linear response theory asserts that sufficiently small external biases produce currents proportional to the applied force and forms the theoretical foundation of nonequilibrium transport. Here we demonstrate that linear response can break…

Chaotic Dynamics · Physics 2026-03-05 Vinesh Vijayan , Priyadharshini B , Santhoshbalaji M , Mohanasundari M
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