Analytic rogue wave solutions for a generalized fourth‐order Boussinesq equation in fluid mechanics
A bilinear transformation method is proposed to find the rogue wave solutions for a generalized fourth‐order Boussinesq equation, which describes the wave motion in fluid mechanics.
Yu‐Lan Ma, Bangqing Li
semanticscholar +1 more source
Stability of schooling patterns of a fish pair swimming against a flow
Fish often swim in crystallized group formations (schooling) and orient themselves against the incoming flow (rheotaxis). At the intersection of these two phenomena, we investigate the emergence of unique schooling patterns through passive hydrodynamic ...
Rishita Das +2 more
doaj +1 more source
Analytic structure of the S-matrix for singular quantum mechanics [PDF]
The analytic structure of the S-matrix of singular quantum mechanics is examined within a multichannel framework, with primary focus on its dependence with respect to a parameter (Ω) that determines the boundary conditions.
Alliluev S. P. +9 more
core +4 more sources
A critique of Ontological Pluralism: the case for Quantum Mechanics
Scientifically speaking, quantum mechanics (QM) is the most successful theory ever made. Philosophically speaking, however, it is the most controversial theory.
Juan Manuel Vila Pérez
doaj +1 more source
Van der Waals interactions: Corrections from radiation in fluids
We consider induced van der Waals interactions with corrections due to radiation in fluids consisting of polarizable hard spheres. The fluctuating polarizations are quantized while the positions of particles are treated classically.
Magnus H. Waage, Johan S. Høye
doaj +1 more source
Non-equilibrium statistical mechanics: from a paradigmatic model to biological transport [PDF]
Unlike equilibrium statistical mechanics, with its well-established foundations, a similar widely accepted framework for non-equilibrium statistical mechanics (NESM) remains elusive. Here, we review some of the many recent activities on NESM, focusing on
T. Chou, K. Mallick, R. Zia
semanticscholar +1 more source
Hidden Symmetry from Supersymmetry in One-Dimensional Quantum Mechanics [PDF]
When several inequivalent supercharges form a closed superalgebra in Quantum Mechanics it entails the appearance of hidden symmetries of a Super-Hamiltonian. We examine this problem in one-dimensional QM for the case of periodic potentials and potentials
Andrianov, Alexander A. +1 more
core +6 more sources
Statistical mechanics of temporal association in neural networks with transmission delays [PDF]
We study the representation of static patterns and temporal sequences in neural networks with signal delays and a stochastic parallel dynamics. For a wide class of delay distributions, the asymptotic network behavior can be described by a generalized ...
A. C. C. Coolen +19 more
core +1 more source
Leonhard Euler's “principle of mechanics” (an essay on the foundations of the equations of motion)
Leonhard Euler derived equations of motion for both (in modern terminology) point mass mechanics and analytic mechanics. In order to derive the equations, some dynamic premise has to be introduced; this is the “principle of mechanics”.
Penha Maria Cardozo Dias
doaj +1 more source
A Soluble Model for Scattering and Decay in Quaternionic Quantum Mechanics I: Decay
The Lee-Friedrichs model has been very useful in the study of decay-scattering systems in the framework of complex quantum mechanics. Since it is exactly soluble, the analytic structure of the amplitudes can be explicitly studied.
Horwitz, L. P.
core +2 more sources

