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Spontaneous pattern formation in a variety of spatially extended nonlinear system always occurs through a modulation instability: homogeneous state of the system becomes unstable with respect to growing modulation modes. Therefore, the…

Pattern Formation and Solitons · Physics 2015-08-25 S. Kumar , R. Herrero , M. Botey , K. Staliunas

Most computer simulations of molecular dynamics take place under equilibrium conditions--in a closed, isolated system, or perhaps one held at constant temperature or pressure. Sometimes, extra tensions, shears, or temperature gradients are…

Statistical Mechanics · Physics 2022-05-25 Alex Albaugh , Todd R. Gingrich

The filamentation instability of the electromagnetic (EM) beam in an underdense plasma with high level of degeneracy is examined by means of the momentum equation, continuity equation and Maxwell's equations. It has been demonstrated that…

Plasma Physics · Physics 2019-03-27 R. M. Goshadze , V. I. Berezhiani , Z. Osmanov

Machine learning force fields have emerged as promising tools for molecular dynamics (MD) simulations, potentially offering quantum-mechanical accuracy with the efficiency of classical MD. Inspired by foundational large language models,…

Computational Physics · Physics 2025-11-14 Denan Li , Jiyuan Yang , Xiangkai Chen , Lintao Yu , Shi Liu

Molecular dynamics (MD) is a widely-used tool for simulating the molecular and materials properties. It is a common wisdom that molecular dynamics simulations should obey physical laws and, hence, lots of effort is put into ensuring that…

Chemical Physics · Physics 2023-08-23 Lina Zhang , Yi-Fan Hou , Fuchun Ge , Pavlo O. Dral

The cloud of cold atoms obtained from a magneto-optical trap is known to exhibit two types of instabilities in the regime of high atomic densities: stochastic instabilities and deterministic instabilities. In the present paper, the…

Atomic Physics · Physics 2009-11-10 Andrea Di Stefano , Philippe Verkerk , Daniel Hennequin

The paper presents a review of dynamic stabilization mechanisms for plasma instabilities. One of the dynamic stabilization mechanisms for plasma instability was proposed in the papers [Phys. Plasmas 19, 024503(2012) and references therein],…

Plasma Physics · Physics 2019-02-20 S. Kawata , T. Karino , Y. J. Gu

We present the first experimental observation of modulation instability of partially spatially incoherent light beams in non-instantaneous nonlinear media. We show that even in such a nonlinear partially coherent system (of…

We present a complete analysis of the linearised dynamics of active solids with orientational order, taking into account a hitherto overlooked consequence of rotation invariance. Our predictions include the possibility of stable active…

Soft Condensed Matter · Physics 2019-12-11 Ananyo Maitra , Sriram Ramaswamy

The stability of a magnetic deflagration front in a collection of molecular magnets, such as Mn_12-acetate, is considered. It is demonstrated that stationary deflagration is unstable with respect to one-dimensional perturbations if the…

Other Condensed Matter · Physics 2011-02-08 M. Modestov , V. Bychkov , M. Marklund

Recent experiments indicate that electromagnetic hysteresis behavior can be exhibited at the molecular level.A MD simulation using 2-body potentials and switches to form and break bonds is implemented to determine whether chemical reaction…

Computational Physics · Physics 2007-05-23 Christopher G. Jesudason

All experiments, which have been proposed so far to model the magnetorotational instability (MRI) in the laboratory, involve a Couette flow of liquid metals in a rotating annulus. All liquid metals have small magnetic Prandtl numbers, Pm,…

Astrophysics · Physics 2009-11-10 Koichi Noguchi , Vladimir I. Pariev

We study the properties of modulational instability and discrete breathers arising in a quasi-one-dimensional discrete Gross-Pitaevskii equation with Lee-Huang-Yang corrections. Conditions for modulation instability and instability regions…

Pattern Formation and Solitons · Physics 2025-12-01 Sherzod R. Otajonov , Bakhram A. Umarov , Fatkhulla Kh. Abdullaev

A one-dimensional discrete Boltzmann model for detonation simulation is presented. Instead of numerical solving Navier-Stokes equations, this model obtains the information of flow field through numerical solving specially discretized…

Fluid Dynamics · Physics 2019-02-20 Yudong Zhang , Aiguo Xu , Guangcai Zhang , Zhihua Chen

We consider the classical Turing instability in a reaction-diffusion system as the secend part of our study on pattern formation. We prove that nonlinear dynamics of a general perturbation of the Turing instability is determined by the…

Analysis of PDEs · Mathematics 2007-05-23 Yan Guo , Hyung Ju Hwang

Molecular dynamics simulation is used to investigate the crystallization of a classical two-dimensional electron system, in which electrons interact with the Coulomb repulsion. From the positional and the orientational correlation…

Condensed Matter · Physics 2009-10-31 Satoru Muto , Hideo Aoki

Recent experiments have exploited elastic instabilities in membranes to create complex patterns. However, the rational design of such structures poses many challenges, as they are products of nonlinear elastic behavior. We pose a simple…

Soft Condensed Matter · Physics 2009-08-13 Elisabetta A. Matsumoto , Randall D. Kamien

Strain-based theory on elastic instabilities is being widely employed for studying onset of plasticity, phase transition or melting in crystals. And size effects, observed in nano-materials or solids under dynamic loadings, needs to account…

Materials Science · Physics 2017-07-20 Kun Wang , Jun Chen , Wenjun Zhu , Meizhen Xiang

We consider a phenomenological continuum theory for an extensile, overdamped active nematic liquid crystal, applicable in the dense regime. Constructed from general principles, the theory is universal, with parameters independent of any…

Soft Condensed Matter · Physics 2015-06-12 Elias Putzig , Gabriel S. Redner , Arvind Baskaran , Aparna Baskaran

We investigate one-dimensional transverse modulational instability in a non local medium excited with a spatially incoherent source. Employing undoped nematic liquid crystals in a planar pre-tilted configuration, we investigate the role of…

Optics · Physics 2015-06-26 Marco Peccianti , Claudio Conti , Emiliano Alberici , Gaetano Assanto