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Related papers: On the Thermodynamic Formalism for the Farey Map

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Skew product systems with monotone one-dimensional fibre maps driven by piecewise expanding Markov interval maps may show the phenomenon of intermingled basins. To quantify the degree of intermingledness the uncertainty exponent and the…

Dynamical Systems · Mathematics 2018-03-01 Gerhard Keller

A diathermal wall between two heat baths at different temperatures can be mimicked by a layer of independent spin pairs with some internal energy and where each spin $\sigma_a$ is flipped by thermostat $a$ ($a=1,2$). The transition rates…

Statistical Mechanics · Physics 2015-05-06 Françoise Cornu , Michel Bauer

Phase transitions are ubiquitous across life, yet hard to quantify and describe accurately. In this work, we develop an approach for characterizing generic attributes of phase transitions from very limited observations made deep within…

Statistical Mechanics · Physics 2023-08-30 Lukas Herron , Kinjal Mondal , John S. Schneekloth , Pratyush Tiwary

Droplets moving in a microfluidic loop device exhibit both periodic and chaotic behaviors based on the inlet droplet spacing. We propose that the periodic behavior is an outcome of a dispersed phase conservation principle. This conservation…

Fluid Dynamics · Physics 2012-12-06 Jeevan Maddala , Siva A. Vanapalli , Raghunathan Rengaswamy

This paper explores the domain of meromorphic extension for the dynamical zeta function associated to a class of one-dimensional differentiable parabolic maps featuring an indifferent fixed point. We establish the connection between this…

Dynamical Systems · Mathematics 2026-02-06 Claudio Bonanno , Roberto Castorrini

Phase difference function is established by means of phase transfer function between time domains of source and interference point. The function reveals a necessary interrelation between outcome of two-beam interference, source's frequency…

Optics · Physics 2007-05-23 Ji Luo

We present a framework for the analysis of transport processes resulting from the mean-eddy interaction in a flow. The framework is based on the {\bf T}ransport {\bf I}nduced by the {\bf M}ean-{\bf E}ddy {\bf I}nteraction (TIME) method…

Atmospheric and Oceanic Physics · Physics 2011-07-27 Kayo Ide , Stephen Wiggins

Fluid dynamics induced by periodically forced flow around a cylinder is analyzed computationally for the case when the forcing frequency is much lower than the von K{\'a}rm{\'a}n vortex shedding frequency corresponding to the constant flow…

Fluid Dynamics · Physics 2017-10-11 Bryan Glaz , Igor Mezic , Maria Fonoberova , Sophie Loire

A comprehensive theory for electronic transport in itinerant ferromagnets is developed. We first show that the Q-field theory used previously to describe a disordered Fermi liquid also has a saddle-point solution that describes a…

Statistical Mechanics · Physics 2009-10-31 T. R. Kirkpatrick , D. Belitz

This paper presents a more complete version than hitherto published of our explanation of a transition from regular to irregular motions and more generally of the nature of a certain kind of deterministic chaos. To this end we introduced a…

Exactly Solvable and Integrable Systems · Physics 2013-06-20 F. Calogero , D. Gomez-Ullate , P. Santini , M. Sommacal

This paper is devoted to a discussion of the Discrete Fourier Transform (DFT) representation of a chaotic finite-duration sequence. This representation has the advantage that is itself a finite-duration sequence corresponding to samples…

Chaotic Dynamics · Physics 2007-05-23 Carlos R. Fadragas , Juan V. Lorenzo-Ginori , Ruben Orozco-Morales

We investigate the thermodynamics of a Fermi gas whose single-particle energy levels are given by the complex zeros of the Riemann zeta function. This is a model for a gas, and in particular for an atomic nucleus, with an underlying fully…

Nuclear Theory · Physics 2009-11-10 P. Leboeuf , A. G. Monastra

The phase ordering dynamics of coupled chaotic maps on fractal networks are investigated. The statistical properties of the systems are characterized by means of the persistence probability of equivalent spin variables that define the…

Chaotic Dynamics · Physics 2007-05-23 K. Tucci , M. G. Cosenza , O. Alvarez-Llamoza

For the past two hundred years, parametric instabilities have been studied in various physical systems, such as fluids, mechanical devices and even inflationary cosmology. It was not until a few decades ago that this subharmonic unstable…

General Relativity and Quantum Cosmology · Physics 2022-07-06 Vitor S. Barroso , August Geelmuyden , Zack Fifer , Sebastian Erne , Anastasios Avgoustidis , Richard J. A. Hill , Silke Weinfurtner

The Gumowski-Mira map is a 2-dimensional recurrence relation that provide a large variety of phase space plots resembling fractal patterns of nature. We investigate the nature of the dynamical states that produce these patterns and find…

Chaotic Dynamics · Physics 2007-05-23 G Ambika , K Ambika

Projects are finite terminating endeavors with distinctive outcomes, usually, occurring under transient conditions. Nevertheless, most estimation, planning, and scheduling approaches overlook the dynamics of project-based systems in…

Dynamical Systems · Mathematics 2017-11-06 Ricardo Antunes , Vicente A. González , Kenneth Walsh

We study the volatility functional inference by Fourier transforms. This spectral framework is advantageous in that it harnesses the power of harmonic analysis to handle missing data and asynchronous observations without any artificial time…

Statistics Theory · Mathematics 2019-11-07 Richard Y. Chen

Functional dynamics, introduced in a previous paper, is analyzed, focusing on the formation of a hierarchical rule to determine the dynamics of the functional value. To study the periodic (or non-fixed) solution, the functional dynamics is…

adap-org · Physics 2007-05-23 N. Kataoka , K. Kaneko

The finite duration of collisions appear as time-nonlocality in the kinetic equation. Analyzing the corresponding quantum kinetic equation for dense interacting Fermi systems a delay differential equation is obtained which combines time…

Nuclear Theory · Physics 2016-09-08 Klaus Morawetz

The long therm behavior of chaotic flows is investigated by means of time dependent frequency analysis. The system under test consists of an electrically conducting fluid, confined between two differentially rotating spheres. The spherical…

Fluid Dynamics · Physics 2021-02-24 Ferran Garcia , Martin Seilmayer , André Giesecke , Frank Stefani
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