Dynamical Renormalization Group for Mode-Coupling Field Theories with Solenoidal Constraint [0.03%]
具有螺线管约束的模式耦合场理论的动力学重正化群
Andrea Cavagna,Luca Di Carlo,Irene Giardina et al.
Andrea Cavagna et al.
The recent inflow of empirical data about the collective behaviour of strongly correlated biological systems has brought field theory and the renormalization group into the biophysical arena. Experiments on bird flocks and insect swarms sho...
Bose-Einstein Condensation for Two Dimensional Bosons in the Gross-Pitaevskii Regime [0.03%]
Gross-Pitaevskii regime中二维玻色子的 Bose-Einstein凝聚
Cristina Caraci,Serena Cenatiempo,Benjamin Schlein
Cristina Caraci
We consider systems of N bosons trapped on the two-dimensional unit torus, in the Gross-Pitaevskii regime, where the scattering length of the repulsive interaction is exponentially small in the number of particles. We show that low-energy s...
Géraldine Haack,Alain Joye
Géraldine Haack
This paper is devoted to the analysis of Lindblad operators of Quantum Reset Models, describing the effective dynamics of tri-partite quantum systems subject to stochastic resets. We consider a chain of three independent subsystems, coupled...
Large Time Convergence of the Non-homogeneous Goldstein-Taylor Equation [0.03%]
非齐次Goldstein-Taylor方程的大时间收敛性
Anton Arnold,Amit Einav,Beatrice Signorello et al.
Anton Arnold et al.
The Goldstein-Taylor equations can be thought of as a simplified version of a BGK system, where the velocity variable is constricted to a discrete set of values. It is intimately related to turbulent fluid motion and the telegrapher's equat...
E C Bailey,J P Keating
E C Bailey
We calculate, for a branching random walk X n ( l ) to a leaf l at depth n on a binary tree, the positive integer moments of the random variable 1 2 n ∑ l = 1 2 n e 2 β X n ( l ) , for β ∈ R . We obtain expl...
A Note on the Spectral Gap of the Fredrickson-Andersen One Spin Facilitated Model [0.03%]
Fredrickson-Anderson单自旋便利模型的谱隙注记
Assaf Shapira
Assaf Shapira
This note discusses the spectral gap of the Fredrickson-Andersen one spin facilitated model in two different settings. The model describes an interacting particle system on a graph, where each site is either occupied or empty; and a site ma...
Modeling of Chemical Reaction Systems with Detailed Balance Using Gradient Structures [0.03%]
利用梯度结构详细平衡的化学反应系统建模
Jan Maas,Alexander Mielke
Jan Maas
We consider various modeling levels for spatially homogeneous chemical reaction systems, namely the chemical master equation, the chemical Langevin dynamics, and the reaction-rate equation. Throughout we restrict our study to the case where...
Non-commutative Calculus, Optimal Transport and Functional Inequalities in Dissipative Quantum Systems [0.03%]
非交换微积分、最优传输及耗散量子系统中的泛函不等式
Eric A Carlen,Jan Maas
Eric A Carlen
We study dynamical optimal transport metrics between density matrices associated to symmetric Dirichlet forms on finite-dimensional C ∗ -algebras. Our setting covers arbitrary skew-derivations and it provides a unified framework that...
Guillaume Barraquand,Alexandre Krajenbrink,Pierre Le Doussal
Guillaume Barraquand
We study the solution of the Kardar-Parisi-Zhang (KPZ) equation for the stochastic growth of an interface of height h(x, t) on the positive half line, equivalently the free energy of the continuum directed polymer in a half space with a wal...
Laurent Bétermin,Hans Knüpfer,Florian Nolte
Laurent Bétermin
We investigate one-dimensional periodic chains of alternate type of particles interacting through mirror symmetric potentials. The optimality of the equidistant configuration at fixed density-also called crystallization-is shown in various ...