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Using coherent phase states, parameterized phase state distributions for a single-mode radiation field are introduced and their integral relation to the phase-parameterized field-strength distributions is studied. The integral kernel is…

Quantum Physics · Physics 2008-02-03 M. Dakna , L. Knoll , D. -G. Welsch

We investigate exponential phase moments of the s-parametrized quasidistributions (smoothed Wigner functions). We show that the knowledge of these moments as functions of s provides, together with photon-number statistics, a complete…

Quantum Physics · Physics 2016-09-08 Jaromir Fiurasek

In the literature, contradictory results have been published regarding the form of the limiting (long-time) grain size distribution (LGSD) that characterizes the late stage grain coarsening in two-dimensional and quasi-two-dimensional…

Materials Science · Physics 2017-05-24 Balint Korbuly , Tamas Pusztai , Herve Henry , Mathis Plapp , Markus Apel , Laszlo Granasy

We present an equation-free computational approach to the study of the coarse-grained dynamics of {\it finite} assemblies of {\it non-identical} coupled oscillators at and near full synchronization. We use coarse-grained observables which…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Sung Joon Moon , R. Ghanem , I. G. Kevrekidis

This work explores the manner in which classical phase space distribution functions converge to the microcanonical distribution. We first prove a theorem about the lack of convergence, then define a generalization of the coarse-graining…

Statistical Mechanics · Physics 2024-08-26 Casey O. Barkan

We study the problem of measurement-induced decoherence using the phase-space approach employing the Gaussian-smoothed Wigner distribution function. Our investigation is based on the notion that measurement-induced decoherence is…

Quantum Physics · Physics 2009-11-10 Yong-Jin Chun , Hai-Woong Lee

We investigate the evolution of the phase-space distribution function around slightly perturbed stationary states and the process of violent relaxation in the context of the dissipationless collapse of an isolated spherical self-gravitating…

Astrophysics of Galaxies · Physics 2022-03-02 Luca Barbieri , Pierfrancesco Di Cintio , Guido Giachetti , Alicia Simon-Petit , Lapo Casetti

We study a class of phase-space distribution functions that is generated from a Gaussian convolution of the Wigner distribution function. This class of functions represents the joint count probability in simultaneous measurements of…

Quantum Physics · Physics 2013-11-05 Hai-Woong Lee

Coarse-grained models are a core computational tool in theoretical chemistry and biophysics. A judicious choice of a coarse-grained model can yield physical insight by isolating the essential degrees of freedom that dictate the…

Statistical Mechanics · Physics 2023-04-12 Shriram Chennakesavalu , David J. Toomer , Grant M. Rotskoff

We develop a systematic coarse graining procedure for systems of $N$ qubits. We exploit the underlying geometrical structures of the associated discrete phase space to produce a coarse-grained version with reduced effective size. Our…

Quantum Physics · Physics 2017-03-08 Olivia Di Matteo , Luis L. Sanchez-Soto , Gerd Leuchs , Markus Grassl

We propose a novel and systematic method for coarse-graining oscillator networks described by phase equations. Our coarse-graining method enables us to obtain the closed coarse-grained equations for a few effective eigenmodes, which is…

Adaptation and Self-Organizing Systems · Physics 2013-11-06 Yuki Izumida , Hiroshi Kori

We propose a degree-based coarse graining approach that not just accelerates the evaluation of dynamics on complex networks, but also satisfies the consistency conditions for both equilibrium statistical distributions and nonequilibrium…

Statistical Mechanics · Physics 2010-08-06 Hanshuang Chen , Zhonghuai Hou , Houwen Xin , YiJing Yan

A phase-field approach describing the dynamics of a strained solid in contact with its melt is developed. By rigorous asymptotic analysis we show that the sharp-interface limit of this model recovers the continuum model equations for the…

Statistical Mechanics · Physics 2007-05-23 Klaus Kassner , Chaouqi Misbah , Judith Mueller , Jens Kappey , Peter Kohlert

We present an efficient method for evaluating random phase errors in phase shifters within photonic integrated circuits, avoiding the computational cost of traditional Monte Carlo simulations. By modeling spatially correlated manufacturing…

Optics · Physics 2025-04-09 Zijian Zhang

Polycrystalline thin films can be unstable with respect to island formation (agglomeration) through grooving where grain boundaries intersect the free surface and/or thin film-substrate interface. We develop a phase-field model to study the…

Materials Science · Physics 2007-05-23 Mathieu Bouville , Shenyang Hu , Long-Qing Chen , Dongzhi Chi , David J Srolovitz

A multiscale scheme combining molecular dynamics (MD) and microscopic phase-field theory is proposed to study the structural phase transformations in solids with inhomogeneous strain field. The approach calculates strain response based on…

Materials Science · Physics 2007-05-23 Zhi-Rong Liu , Huajian Gao

Developing effective coarse grained (CG) approach is a promising way for studying dynamics on large size networks. In the present work, we have proposed a strength-based CG (\sCG) method to study critical phenomena of the Potts model on…

Statistical Mechanics · Physics 2013-02-15 Chuansheng Shen , Hanshuang Chen , Zhonghuai Hou , Houwen Xin

Coarse-graining or model reduction is a term describing a range of approaches used to extend the time-scale of molecular simulations by reducing the number of degrees of freedom. In the context of molecular simulation, standard…

Dynamical Systems · Mathematics 2023-11-14 Thomas Hudson , Xingjie Helen Li

We develop coarse-grained particle approaches for studying the elastic mechanics of vesicles with heterogeneous membranes having phase-separated domains. We perform simulations both of passive shape fluctuations and of active systems where…

Soft Condensed Matter · Physics 2023-02-28 David A. Rower , Paul J. Atzberger

The ground-state phase diagram of the asymmetric Hubbard model is studied in one and two dimensions by a well-controlled numerical method. The method allows to calculate directly the probabilities of particular phases in the approximate…

Strongly Correlated Electrons · Physics 2009-11-13 Pavol Farkasovsky
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