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The steady-state phase diagram of the one-dimensional reaction-diffusion model 2A -> 3A, 2A -> 0 is studied through the non-hermitian density matrix renormalization group. In the absence of single-particle diffusion the model reduces to the…

Statistical Mechanics · Physics 2009-10-31 Enrico Carlon , Malte Henkel , Ulrich Schollwoeck

Symmetry breaking surface fields give rise to nontrivial and long-ranged order parameter profiles for critical systems such as fluids, alloys or magnets confined to wedges. We discuss the properties of the corresponding universal scaling…

Statistical Mechanics · Physics 2009-10-31 A. Hanke , M. Krech , F. Schlesener , S. Dietrich

The generic behavior of quantum systems has long been of theoretical and practical interest. Any quantum process is represented by a sequence of quantum channels. We consider general ergodic sequences of stochastic channels with arbitrary…

Quantum Physics · Physics 2022-07-08 Ramis Movassagh , Jeffrey Schenker

Entropy production (EP) is a central quantity in nonequilibrium physics as it monitors energy dissipation, irreversibility, and free energy differences during thermodynamic transformations. Estimating EP, however, is challenging both…

Statistical Mechanics · Physics 2024-06-26 Jinghao Lyu , Kyle J. Ray , James P. Crutchfield

In the leading order of the heavy quark expansion, we propose a method within the OPE and the trace formalism, that allows to obtain, in a systematic way, Bjorken-like sum rules for the derivatives of the elastic Isgur-Wise function…

High Energy Physics - Phenomenology · Physics 2011-01-25 A. Le Yaouanc , L. Oliver , J. -C. Raynal

The Lindhard-Winther (LW) equipartition sum rule shows that within the linear response theory, the stopping power of an energetic point-charge projectile in a degenerate electron gas medium, receives equal contributions from single-particle…

Plasma Physics · Physics 2009-11-07 Hrachya B. Nersisyan , Amal K. Das

We investigate the critical behavior of continuous phase transitions in the context of Ginzburg Landau models with a double well effective potential. In particular, we show that the recently proposed configurational entropy, a measure of…

Statistical Mechanics · Physics 2020-12-10 Marcelo Gleiser , Damian Sowinski

We study the bipartite entanglement entropy of the two-dimensional (2D) transverse-field Ising model in the thermodynamic limit using series expansion methods. Expansions are developed for the Renyi entropy around both the small-field and…

Statistical Mechanics · Physics 2012-09-19 Rajiv R. P. Singh , Roger G. Melko , Jaan Oitmaa

By the use of extensive numerical simulations we show that the nearest-neighbor energy level spacing distribution $P(s)$ and the entropic eigenfunction localization length of the adjacency matrices of Erd\H{o}s-R\'enyi (ER) {\it fully}…

Disordered Systems and Neural Networks · Physics 2015-06-24 J. A. Mendez-Bermudez , A. Alcazar-Lopez , A. J. Martinez-Mendoza , Francisco A. Rodrigues , Thomas K. DM. Peron

We examine the temperature dependence of the optical sum rule in the normal state due to interactions. To be concrete we adopt a weak coupling approach which uses an electron-boson exchange model to describe inelastic scattering of the…

Strongly Correlated Electrons · Physics 2007-05-23 L. Benfatto , J. P. Carbotte , F. Marsiglio

We study symmetric sleepy random walkers, a model exhibiting an absorbing-state phase transition in the conserved directed percolation (CDP) universality class. Unlike most examples of this class studied previously, this model possesses a…

Statistical Mechanics · Physics 2015-03-19 Julio Cesar Mansur Filho , Ronald Dickman

We present an application of Wertheim's Thermodynamic Perturbation Theory (TPT1) to a simple coarse grained model made of flexibly bonded Lennard-Jones monomers. We use both the Reference Hyper-Netted-Chain (RHNC) and Mean Spherical…

Statistical Mechanics · Physics 2016-08-15 L. González MacDowell , M. Mueller , C. Vega , K. Binder

A generalization of the 1935 Einstein-Podolsky-Rosen (EPR) argument for measurements with continuous variable outcomes is presented to establish criteria for the demonstration of the EPR paradox, for situations where the correlation between…

Quantum Physics · Physics 2007-05-23 M. D. Reid

Jamming and percolation transitions in the standard random sequential adsorption of particles on regular lattices are characterized by a universal set of critical exponents. The universality class is preserved even in the presence of…

Statistical Mechanics · Physics 2021-04-28 Sumanta Kundu , Dipanjan Mandal

To characterize strongly interacting statistical systems within a thermodynamical framework - complex systems in particular - it might be necessary to introduce generalized entropies, $S_g$. A series of such entropies have been proposed in…

Classical Physics · Physics 2010-07-05 Rudolf Hanel , Stefan Thurner

In circuit-based quantum state preparation, qubit loss and coherent errors are circuit imperfections that imperil the formation of long-range entanglement beyond a certain threshold. The critical theory at the threshold is a continuous…

Quantum Physics · Physics 2025-12-30 Malte Pütz , Romain Vasseur , Andreas W. W. Ludwig , Simon Trebst , Guo-Yi Zhu

We study the level spacing distribution p(s) in the spectrum of random networks. According to our numerical results, the shape of p(s) in the Erdos-Renyi (E-R) random graph is determined by the average degree <k>, and p(s) undergoes a…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Gergely Palla , Gabor Vattay

We consider a rather general class of evolutionary PDEs involving dissipation (of possibly fractional order), which competes with quadratic nonlinearities on the regularity of the overall equation. This includes as prototype models,…

Analysis of PDEs · Mathematics 2015-06-16 Animikh Biswas , Eitan Tadmor

The transport properties of matter have been widely investigated. In particular, shear viscosity over a wide parameter space is crucial for various applications, such as designing inertial confinement fusion (ICF) targets and determining…

Statistical Mechanics · Physics 2025-01-14 Yuqing Cheng , Xingyu Gao , Qiong Li , Yu Liu , Haifeng Song , Haifeng Liu

In this paper, we consider limit laws for the model, which is a generalisation of the random energy model (REM) to the case when the energy levels have the mixture distribution. More precisely, the distribution of the energy levels is…

Probability · Mathematics 2018-02-15 Stanislav Molchanov , Vladimir Panov