Zobrazeno 1 - 10
of 2 638
pro vyhledávání: '"P, Lebowitz"'
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
For the one-dimensional Facilitated Exclusion Process with initial state a product measure of density $\rho=1/2-\delta$, $\delta\ge0$, there exists an infinite-time limiting state $\nu_\rho$ in which all particles are isolated and hence cannot move.
Externí odkaz:
http://arxiv.org/abs/2407.02652
Autor:
Gupta, Rajat, Lebowitz-Lockard, Noah
In this article, we introduce the notion of almost consecutive partitions. A partition is almost consecutive if every term is consecutive, with the possible exception of the smallest one. We find formulas relating to the smallest parts of consecutive
Externí odkaz:
http://arxiv.org/abs/2403.15677
Publikováno v:
J. Stat. Phys. 191, 92 (2024)
We investigate the time evolution of the Boltzmann entropy of a dilute gas of N particles, N>>1, as it undergoes a free expansion doubling its volume. The microstate of the system, a point in the 4N dimensional phase space, changes in time via Hamilt
Externí odkaz:
http://arxiv.org/abs/2403.07519
A classic theorem of Uchimura states that the difference between the sum of the smallest parts of the partitions of $n$ into an odd number of distinct parts and the corresponding sum for an even number of distinct parts is equal to the number of divi
Externí odkaz:
http://arxiv.org/abs/2402.12549
Let $p_{\textrm{dsd}} (n)$ be the number of partitions of $n$ into distinct squarefree divisors of $n$. In this note, we find a lower bound for $p_{\textrm{dsd}} (n)$, as well as a sequence of $n$ for which $p_{\textrm{dsd}} (n)$ is unusually large.<
Externí odkaz:
http://arxiv.org/abs/2402.08119
In 2023, the first author and Vandehey proved that the largest $k$ for which the string of equalities $\lambda(n+1)=\lambda(n+2)=\cdots=\lambda(n+k)$ holds for some $n\leq x$, where $\lambda$ is the Carmichael $\lambda$ function, is bounded above by
Externí odkaz:
http://arxiv.org/abs/2402.06832
We consider the fluctuations in the number of particles in a box of size L^d in Z^d, d>=1, in the (infinite volume) translation invariant stationary states of the facilitated exclusion process, also called the conserved lattice gas model. When starte
Externí odkaz:
http://arxiv.org/abs/2401.16505
Autor:
Anna-Rosa Cecilie Mora-Jensen, Line Katrine Harder Clemmensen, Manja Gersholm Grønberg, Eli R. Lebowitz, Daniel S. Quintana, Niklas Rye Jørgensen, Charlotte Sewerin Larsen, Lasse Kristoffer Bak, Gitte Lund Christensen, Linea Pretzmann, Valdemar Uhre, Sofie Heidenheim Christensen, Camilla Uhre, Nicoline Løcke Jepsen Korsbjerg, Christine Lykke Thoustrup, Julie Hagstrøm, Melanie Ritter, Kerstin Jessica Plessen, Anne Katrine Pagsberg, Nicole Nadine Lønfeldt
Publikováno v:
Scientific Reports, Vol 14, Iss 1, Pp 1-12 (2024)
Abstract The oxytocin system has been thought to contribute to obsessive-compulsive disorder (OCD). Few studies, only involving adults, have investigated this hypothesis and have found inconsistent results regarding oxytocin system activity and OCD.
Externí odkaz:
https://doaj.org/article/146a434a12244e448863dd3d23bc4d0b
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