Zobrazeno 1 - 10
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pro vyhledávání: '"Lebowitz, Joel"'
We study finite-dimensional open quantum systems whose density matrix evolves via a Lindbladian, $\dot{\rho}=-i[H,\rho]+{\mathcal D}\rho$. Here $H$ is the Hamiltonian of the isolated system and ${\mathcal D}$ is the dissipator. We consider the case w
Externí odkaz:
http://arxiv.org/abs/2408.06887
We consider a chain consisting of $n+1$ pinned harmonic oscillators subjected on the right to a time dependent periodic force $\cF(t)$ while Langevin thermostats are attached at both endpoints of the chain. We show that for long times the system is d
Externí odkaz:
http://arxiv.org/abs/2307.09535
Autor:
Pandey, Saurav, Bhat, Junaid Majeed, Dhar, Abhishek, Goldstein, Sheldon, Huse, David A., Kulkarni, Manas, Kundu, Anupam, Lebowitz, Joel L.
Publikováno v:
J. Stat. Phys. 190, 142 (2023)
We study the time evolution of the Boltzmann entropy of a microstate during the non-equilibrium free expansion of a one-dimensional quantum ideal gas. This quantum Boltzmann entropy, $S_B$, essentially counts the "number" of independent wavefunctions
Externí odkaz:
http://arxiv.org/abs/2303.12330
We summarize and extend some of the results obtained recently for the microscopic and macroscopic behavior of a pinned harmonic chain, with random velocity flips at Poissonian times, acted on by a periodic force {at one end} and in contact with a hea
Externí odkaz:
http://arxiv.org/abs/2212.00093
We derive a macroscopic heat equation for the temperature of a pinned harmonic chain subject to a periodic force at its right side and in contact with a heat bath at its left side. The microscopic dynamics in the bulk is given by the Hamiltonian equa
Externí odkaz:
http://arxiv.org/abs/2209.12923
We analyze non-perturbatively the one-dimensional Schr\"odinger equation describing the emission of electrons from a model metal surface by a classical oscillating electric field. Placing the metal in the half-space $x\leqslant 0$, the Schr\"odinger
Externí odkaz:
http://arxiv.org/abs/2209.07570
We derive macroscopic equations for a generalized contact process that is inspired by a neuronal integrate and fire model on the lattice $\mathbb{Z}^d$. The states at each lattice site can take values in $0,\ldots,k$. These can be interpreted as neur
Externí odkaz:
http://arxiv.org/abs/2205.06423
We investigate the properties of a harmonic chain in contact with a thermal bath at one end and subjected, at its other end, to a periodic force. The particles also undergo a random velocity reversal action, which results in a finite heat conductivit
Externí odkaz:
http://arxiv.org/abs/2205.03839
Autor:
Lebowitz, Joel L.
This article is dedicated to Elliott Lieb in celebration of his 90th birthday. I recount briefly some history of our joint work on the existence of the thermodynamic limit for Coulomb systems and discuss, even more briefly, two open problems of funda
Externí odkaz:
http://arxiv.org/abs/2202.01760
Publikováno v:
Journal of Physics A: Mathematical and Theoretical, 55, 394002, 2022
To illustrate Boltzmann's construction of an entropy function that is defined for a microstate of a macroscopic system, we present here the simple example of the free expansion of a one dimensional gas of non-interacting point particles. The construc
Externí odkaz:
http://arxiv.org/abs/2109.07742