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We obtain the bi-Hamiltonian structure for some of the two-component short pulse equations proposed in the literature to generalize the original short pulse equation when polarized pulses propagate in anisotropic media.

Exactly Solvable and Integrable Systems · Physics 2013-01-08 J. C. Brunelli , S. Sakovich

We present a quantum system incorporating qualitative aspects of enzyme action in which the possibility of quantum superposition of several conformations of the enzyme-substrate complex is investigated. We present numerical results showing…

Chemical Physics · Physics 2018-04-13 George Svetlichny

A model multilevel molecule described by two sets of rotational internal energy levels of different parity and degenerate ground states, coupled by a constant interaction, is considered, by assuming that the random collisions in a gas of…

Quantum Physics · Physics 2013-05-31 Filippo Giraldi , Francesco Petruccione

Enzymes within biochemical pathways are often colocalized, yet the consequences of specific spatial enzyme arrangements remain poorly understood. We study the impact of enzyme arrangement on reaction efficiency within a reaction-diffusion…

Molecular Networks · Quantitative Biology 2013-10-14 Alexander Buchner , Filipe Tostevin , Ulrich Gerland

This thesis is about the study of complex systems through simple models. Our work evidences the relevance of this kind of modeling in science, which provides us with a better understanding of nature at minimum cost. The fundamentals tools…

Statistical Mechanics · Physics 2019-04-09 Carlos A. Plata

We have studied the competition between helix formation and aggregation for a simple polymer model. We present simulation results for a system of two such polymers, examining the potential of mean force, the balance between inter and…

Soft Condensed Matter · Physics 2007-05-23 James E. Magee , Zhankai Song , Robin A. Curtis , Leo Lue

Non-holonomic mechanical systems can be described by a degenerate almost-Poisson structure (dropping the Jacobi identity) in the constrained space. If enough symmetries transversal to the constraints are present, the system reduces to a…

Mathematical Physics · Physics 2022-09-21 Pedro de M. Rios , Jair Koiller

We show that, by using multiplicative weights in a game-theoretic thought experiment (and an important convexity result on the composition of multiplicative weights with the relative entropy function), a symmetric bimatrix game (that is, a…

Computer Science and Game Theory · Computer Science 2025-04-24 Ioannis Avramopoulos

In this paper we consider multi-objective optimization problems over a box. The problem is very relevant and several computational approaches have been proposed in the literature. They broadly fall into two main classes: evolutionary…

Optimization and Control · Mathematics 2022-12-08 Matteo Lapucci , Pierluigi Mansueto , Fabio Schoen

We show that extremely simple systems of a not too large number of particles can be simultane- ously thermally stable and complex. To such an end, we extend the statistical complexity's notion to simple configurations of non-interacting…

Statistical Mechanics · Physics 2018-02-23 F. Pennini , A. Plastino

Complex information-processing systems, for example quantum circuits, cryptographic protocols, or multi-player games, are naturally described as networks composed of more basic information-processing systems. A modular analysis of such…

Quantum Physics · Physics 2017-04-27 Christopher Portmann , Christian Matt , Ueli Maurer , Renato Renner , Björn Tackmann

We study the concurrence of arbitrary dimensional bipartite quantum systems. By using a positive but not completely positive map, we present an analytical lower bound of concurrence. Detailed examples are used to show that our bound can…

Quantum Physics · Physics 2014-01-09 Hui-hui Qin , Shao-Ming Fei

Using molecular dynamics simulation, we investigate the effect of confinement on a system that comprises several stiff segmented polymer chains where each chain has similar segments, but length and stiffness of the segments vary among the…

Soft Condensed Matter · Physics 2015-07-14 Arash Azari , Kristian K. Müller-Nedebock

Hamiltonian Monodromy is the simplest topological obstruction to the existence of global action-angle coordinates in a completely integrable system. We show that this property can be studied in a neighborhood of a focus-focus singularity by…

Mathematical Physics · Physics 2022-01-03 G. J. Gutierrez Guillen , D. Sugny , P. Mardesic

We explore the consequences of layering a Lambek proof system over an arbitrary (constraint) logic. A simple model-theoretic semantics for our hybrid language is provided for which a particularly simple combination of Lambek's and the proof…

cmp-lg · Computer Science 2008-02-03 Jochen Doerre , Suresh Manandhar

It is shown that a relevant control of Hamiltonian chaos is possible through suitable small perturbations whose form can be explicitly computed. In particular, it is possible to control (reduce) the chaotic diffusion in the phase space of a…

Plasmons are fundamental excitations of metals which can be described in terms of electron dynamics, or in terms of the electromagnetic fields associated with them. In this work we develop a quantum description of plasmons in a double layer…

Mesoscale and Nanoscale Physics · Physics 2023-08-31 Luis Brey , H. A. Fertig

In open quantum systems, the interaction of the system with its environment gives rise to two types of symmetry: a strong one, where the system's symmetry charge is conserved exactly, and a weak one, where the system can exchange symmetry…

Quantum Physics · Physics 2025-12-01 Ze-Min Huang , Sebastian Diehl , Xiao-Qi Sun

The term "hybrid system" refers to a continuous time dynamical system that undergoes Markovian perturbations at discrete time intervals. In this paper, we find that under the right formulation, a hybrid system can be treated as a dynamical…

Dynamical Systems · Mathematics 2014-07-28 Kimberly Ayers , Xavier Garcia , Jennifer Kunze , Thomas Rudelius , Anthony Sanchez , Sijing Shao , Emily Speranza

In this paper we show how almost cosymplectic structures are a natural framework to study thermodynamical systems. Indeed, we are able to obtain the same evolution equations obtained previously by Gay-Balmaz and Yoshimura (see Entropy,…

Mathematical Physics · Physics 2024-12-25 Manuel de León , Jaime Bajo
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