scholarly journals Heat flow in a harmonic chain due to an impulse disturbance

2020 ◽  
Vol 20 (1) ◽  
pp. 52-57
Author(s):  
A.I. Gudimenko ◽  
Keyword(s):  
Initial Conditions ◽  
Local Heat ◽  
Harmonic Oscillators ◽  
Heat Current ◽  
Maxwell Distribution ◽  
State Correlation ◽  
One Dimensional ◽  
Coupled Harmonic Oscillators ◽  
Harmonic Chain ◽  
Analytical Expressions

The heat motion in a one-dimensional semi-infinite chain of coupled harmonic oscillators is studied for the Maxwell distribution of initial velocities and zero initial displacements of the chain particles. It is believed that such initial conditions are achieved by an impulse heating of the sample. Exact analytical expressions for the state correlation functions, local temperature, and local heat current of the chain are obtained.

The effect of the mass of the center spring in one‐dimensional coupled harmonic oscillators

1988 ◽  
Vol 56 (12) ◽  
pp. 1120-1123 ◽  
Author(s):  
David L. Wallach ◽  
William Beatty ◽  
Karl Beisler ◽  
Peter Chronowski ◽  
Matthew Holloway ◽  
...  
Keyword(s):  
Harmonic Oscillators ◽  
One Dimensional ◽  
Coupled Harmonic Oscillators

scholarly journals Numerical aspects of two coupled harmonic oscillators

2020 ◽  
Vol 28 (1) ◽  
pp. 5-15
Author(s):  
Jihad Asad ◽  
Olivia Florea
Keyword(s):  
Linear System ◽  
Analytic Solution ◽  
Initial Conditions ◽  
Harmonic Oscillators ◽  
Lagrange Equations ◽  
Coupled Harmonic Oscillators

AbstractIn this study an interesting symmetric linear system is considered. As a first step we obtain the Lagrangian of the system. Secondly, we derive the classical Euler- Lagrange equations of the system. Finally, numerical and analytic solution for these equations have been presented for some chosen initial conditions.

scholarly journals Measurement of the Temperature Using the Tomographic Representation of Thermal States for Quadratic Hamiltonians

Entropy ◽  
2021 ◽  
Vol 23 (11) ◽  
pp. 1445
Author(s):  
Julio A. López-Saldívar ◽  
Margarita A. Man’ko ◽  
Vladimir I. Man’ko
Keyword(s):  
Covariance Matrix ◽  
Wigner Function ◽  
Temperature Scale ◽  
Quantum Systems ◽  
Harmonic Oscillators ◽  
One Dimensional ◽  
Coupled Harmonic Oscillators ◽  
Quadratic Hamiltonians ◽  
Tomographic Representation ◽  
Thermal States

The Wigner and tomographic representations of thermal Gibbs states for one- and two-mode quantum systems described by a quadratic Hamiltonian are obtained. This is done by using the covariance matrix of the mentioned states. The area of the Wigner function and the width of the tomogram of quantum systems are proposed to define a temperature scale for this type of states. This proposal is then confirmed for the general one-dimensional case and for a system of two coupled harmonic oscillators. The use of these properties as measures for the temperature of quantum systems is mentioned.

scholarly journals EXACT SOLUTION OF AN IRREVERSIBLE ONE-DIMENSIONAL MODEL WITH FULLY BIASED SPIN EXCHANGES

1996 ◽  
Vol 10 (25) ◽  
pp. 3451-3459 ◽  
Author(s):  
ANTÓNIO M.R. CADILHE ◽  
VLADIMIR PRIVMAN
Keyword(s):  
Exact Solution ◽  
Domain Wall ◽  
Nearest Neighbor ◽  
Spin Exchange ◽  
Initial Conditions ◽  
Strong Dependence ◽  
Zero Temperature ◽  
Dimensional Model ◽  
One Dimensional ◽  
Temperature Dynamics

We introduce a model with conserved dynamics, where nearest neighbor pairs of spins ↑↓ (↓↑) can exchange to assume the configuration ↓↑ (↑↓), with rate β(α), through energy decreasing moves only. We report exact solution for the case when one of the rates, α or β, is zero. The irreversibility of such zero-temperature dynamics results in strong dependence on the initial conditions. Domain wall arguments suggest that for more general, finite-temperature models with steady states the dynamical critical exponent for the anisotropic spin exchange is different from the isotropic value.

scholarly journals Optimal Strategies for Prudent Investors

1998 ◽  
Vol 01 (04) ◽  
pp. 473-486 ◽  
Author(s):  
Roberto Baviera ◽  
Michele Pasquini ◽  
Maurizio Serva ◽  
Angelo Vulpiani
Keyword(s):  
Growth Rate ◽  
Random Walk ◽  
Exponential Growth ◽  
Optimal Strategies ◽  
Maximum Amount ◽  
Exponential Growth Rate ◽  
One Dimensional ◽  
Economic Level ◽  
Random Walk With Drift ◽  
Analytical Expressions

We consider a stochastic model of investment on an asset in a stock market for a prudent investor. she decides to buy permanent goods with a fraction α of the maximum amount of money owned in her life in order that her economic level never decreases. The optimal strategy is obtained by maximizing the exponential growth rate for a fixed α. We derive analytical expressions for the typical exponential growth rate of the capital and its fluctuations by solving an one-dimensional random walk with drift.

Sign in / Sign up

Export Citation Format

Share Document