Manuel G. Velárde

Universidad Complutense de Madrid

Author Statistics

Papers

Citation

H-Index

i-10 index

Research Trends

Author Order

Document Type

Co-Authors

A. P. Chetverikov

Saratov State University

W. Ebeling

Humboldt-Universität zu Berlin

Víctor M. Starov

Loughborough University

Vladimir I. Nekorkin

Institute of Applied Physics

Valeri A. Makarov

Universidad Complutense de Madrid

Pierre Colinet

Université Libre de Bruxelles

Ramón G. Rubio

Universidad Complutense de Madrid

Jean Claude Legros

Institut National des Sciences Appliquées Rouen Normandie

Ezequiel del Río

Universidad Politécnica de Madrid

Victor Kazantsev

N. I. Lobachevsky State University of Nizhny Novgorod

Cooperative Institutions

Universidad Complutense de Madrid

Walter de Gruyter (Germany)

Délégation Provence et Corse

Centre National de la Recherche Scientifique

Trondheim Kommune

Japan Science and Technology Agency

Chemnitz University of Technology

Russian Academy of Sciences

Google (United States)

Korea Institute of Science & Technology Information

Author Statistics

Papers

Citation

H-Index

i-10 index

Research Field

Drop motion and the Maragoni effect. Interaction of modes

Physica Scripta (1994)

Alexei Rednikov Ye Yuri S. Ryazantsev Manuel G. Velárde

Drop motions may be a consequence of surface stresses induced by the Marangoni effect (i.e. by the variation of surface tension with temperature or surfactant concentration). In the present paper we consider a steady drop motion in a homogeneous medium, when Marangoni instability associated with radial temperature and/or concentration distributions outside and inside the drop occurs. Attention is paid to the case when the instability thresholds for two different modes are close to each other and a weakly nonlinear analysis is developed.

Spinning drop method

Marangoni number

10.1088/0031-8949/1994/t55/020

Cite

Citations (7)

Localized Excitations and Anisotropic Directional Ordering in a Two-Dimensional Morse Lattice Model of Cuprate Layers

Nonlinear systems and complexity (2013)

Manuel G. Velárde W. Ebeling A. P. Chetverikov

Lattice (music)

10.1007/978-3-319-02057-0_10

Cite

Citations (2)

The Ocean in Motion Circulation, Waves, Polar Oceanography

Springer eBooks (2018)

Manuel G. Velárde

Physical oceanography

Circulation (fluid dynamics)

Polar motion

Source

Cite

Citations (6)

Acoustic Rayleigh Wave Turbulence in Soft Viscoelastic Matter

Advanced Science (2025)

Mikheil Kharbedia Horacio López‐Menéndez B.J. Garcı́a Manuel G. Velárde Francisco Monroy

Abstract Evidence of discrete acoustic Rayleigh wave turbulence (DARWT) is reported on the free surface of complex viscoelastic materials under monochromatic excitation. These surface elastic non‐linear Rayleigh waves exhibit dispersionless dynamics governed by bulk shear rigidity at coexistence with dispersive capillary waves supported by surface tension. Using Laser Doppler Vibrometry (LDV), the discrete Kolmogorov–Zakharov (KZ) spectrum is measured, characterized by a power‐law envelope in an inertial cascade of discrete harmonics. When shear rigidity dominates, KZ‐spectrum characterized by an ω −5/2 acoustic fingerprint is observed as a conservative solid‐like scaling, theoretically predicted from the exact three‐wave dispersionless resonance. Conversely, when surface tension dominates over bulk stresses, dispersive CW behavior under the usual ω −17/6 liquid‐like scaling is recovered. These findings support a unique theoretical framework for understanding conservative DARWT and advance the field of surface wave turbulence in viscoelastic media with markedly non‐Newtonian rheology. Acoustic Rayleigh wave turbulence represents a conservative mechanism for dispersionless energy transport through weakly nonlinear wave interactions across scales, with relevance to various physics fields, from soft matter and biological systems up to geophysical flows.

Rayleigh Wave

Capillary wave

10.1002/advs.202407528

Cite

Citations (0)

On the Role of Porosity in the Stokes Flow Around a Solid Particle

Journal of Non-Equilibrium Thermodynamics (2001)

A. N. Tyatyushkin Manuel G. Velárde

The Stokes flow of an incompressible viscous fluid over a spherical porous particle is considered as a problem in the framework of non-equilibrium thermohydrodynamics. The boundary conditions at the interface between the particle and a fluid for various types of porous media are provided and the general solution of the problem is constructed in the form of a series expansion inside and outside the particle.

Particle (ecology)

Stokes number

10.1515/jnetdy.2000.013

Cite

Citations (0)

Implicit time splitting for fourth-order parabolic equations

Computer Methods in Applied Mechanics and Engineering (1997)

C. I. Christov J. Pontes D. Walgraef Manuel G. Velárde

10.1016/s0045-7825(96)01176-0

Cite

Citations (37)

The cumulant expansion in renormalization group transformations: the convergence question and the dependence upon cell size

Journal of Physics A Mathematical and General (1976)

P. C. Hemmer Manuel G. Velárde

The Niemeijer-van Leeuwen (1973) cumulant expansion for calculation of renormalized interactions is carried to third order for the Ising model on the triangular lattice. Kadanoff cells containing three spins are used. Five types of pair interactions and three types of four-spin interaction enter the calculations. The renormalization equations have one non-trivial fixed point. The accuracy of the result for the corresponding relevant eigenvalues is, however, less than in second order. The idea that the cumulant expansion is an asymptotic expansion has thus been given numerical support.

Cumulant

Lattice (music)

Asymptotic expansion

Infrared fixed point

10.1088/0305-4470/9/10/022

Cite

Citations (6)

Influence of a sureactant on the instability of a falling liquid film

Fluid Dynamics (2000)

Manuel G. Velárde V. Ya. Shkadov V. P. Shkadova

10.1007/bf02698120

Cite

Citations (12)

Electron capture and transport mediated by lattice solitons

Physical Review E (2007)

D. Hennig A. P. Chetverikov Manuel G. Velárde W. Ebeling

We study electron transport in a one-dimensional molecular lattice chain. The molecules are linked by Morse interaction potentials. The electronic degree of freedom, expressed in terms of a tight binding system, is coupled to the longitudinal displacements of the molecules from their equilibrium positions along the axis of the lattice. More specifically, the distance between two sites influences in an exponential fashion the corresponding electronic transfer matrix element. We demonstrate that when an electron is injected in the undistorted lattice it causes a local deformation such that a compression results leading to a lowering of the electron's energy below the lower edge of the band of linear states. This corresponds to self-localization of the electron due to a polaronlike effect. Then, if a traveling soliton lattice deformation is launched a distance apart from the electron's position, upon encountering the polaronlike state it captures the latter dragging it afterwards along its path. Strikingly, even when the electron is initially uniformly distributed over the lattice sites a traveling soliton lattice deformation gathers the electronic amplitudes during its traversing of the lattice. Eventually, the electron state is strongly localized and moves coherently in unison with the soliton lattice deformation. This shows that for the achievement of coherent electron transport we need not start with the polaronic effect.

Lattice (music)

Empty lattice approximation

10.1103/physreve.76.046602

Cite

Citations (49)

Equipo de experimentos de óptica con láser. Guía del profesor

Ricardo Fernández Cruz Manuel G. Velárde

Source

Cite

Citations (0)