System size expansion using Feynman rules and diagrams

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1. Apparenté Pas pertinent

   Finite-Size Scaling of Charge Carrier Mobility in Disordered Organic Semiconductors

   Pascal Kordt, Thomas Speck, Denis Andrienko · 2015 · Phys. Rev. B 94, 014208 (2016) · Pas encore résumé

   Résumé scientifique

   Simulations of charge transport in amorphous semiconductors are often performed in microscopically sized systems. As a result, charge carrier mobilities become system-size dependent. We propose a simple method for extrapolating a macroscopic, nondispersive mobility from the system-size dependence of a microscopic one. The method is validated against a temperature-based extrapolation [Phys. Rev. B 82, 193202 (2010)]. In addition, we provide an analytic estimate of system sizes required to perform nondispersive charge transport simulations in systems with finite charge carrier density, derived from a truncated Gaussian distribution. This estimate is not limited to lattice models or specific ra…

2. Apparenté Pas pertinent

   Classical limit of measurement-induced transition in many-body chaos in integrable and non-integrable oscillator chains

   Sibaram Ruidas, Sumilan Banerjee · 2022 · Mécanique statistique · Résumé IA disponible

   Résumé scientifique

   We discuss the dynamics of integrable and non-integrable chains of coupled oscillators under continuous weak position measurements in the semiclassical limit. We show that, in this limit, the dynamics is described by a standard stochastic Langevin equation, and a measurement-induced transition appears as a noise- and dissipation-induced chaotic-to-non-chaotic transition akin to stochastic synchronization. In the non-integrable chain of anharmonically coupled oscillators, we show that the temporal growth and the ballistic light-cone spread of a classical out-of-time correlator characterized by the Lyapunov exponent and the butterfly velocity, are halted above a noise or below an interaction s…

3. Apparenté Pas pertinent

   Large deviation full counting statistics in adiabatic open quantum dynamics

   Paulo J. Paulino, Igor Lesanovsky, Federico Carollo · 2024 · Mécanique statistique · Résumé IA disponible

   Résumé scientifique

   The state of an open quantum system undergoing an adiabatic process evolves by following the instantaneous stationary state of its time-dependent generator. This observation allows one to characterize, for a generic adiabatic evolution, the average dynamics of the open system. However, information about fluctuations of dynamical observables, such as the number of photons emitted or the time-integrated stochastic entropy production in single experimental runs, requires controlling the whole spectrum of the generator and not only the stationary state. Here, we show how such information can be obtained in adiabatic open quantum dynamics by exploiting tools from large deviation theory. We prove …

4. Apparenté Pas pertinent

   Field Theory of Birhythmicity

   Sergei Shmakov, Peter B. Littlewood · 2025 · Mécanique statistique · Résumé IA disponible

   Résumé scientifique

   Non-equilibrium dynamics are present in many aspects of our lives, ranging from microscopic physical systems to the functioning of the brain. What characterizes stochastic models of non-equilibrium processes is the breaking of the fluctuation-dissipation relations as well as the existence of non-static stable states, or phases. A prototypical example is a dynamical phase characterized by a limit cycle - the order parameter of finite magnitude rotating or oscillating at a fixed frequency. Consequently, birhythmicity, where two stable limit cycles coexist, is a natural extension of the simpler single limit cycle phase. Both the abundance of real systems exhibiting such states as well as their …

5. Apparenté Pas pertinent

   Topology protects chiral edge currents in stochastic systems

   Evelyn Tang, Jaime Agudo-Canalejo, Ramin Golestanian · 2020 · Phys. Rev. X 11, 031015 (2021) · Résumé IA disponible

   Résumé scientifique

   Constructing systems that exhibit time-scales much longer than those of the underlying components, as well as emergent dynamical and collective behavior, is a key goal in fields such as synthetic biology and materials self-assembly. Inspiration often comes from living systems, in which robust global behavior prevails despite the stochasticity of the underlying processes. Here, we present two-dimensional stochastic networks that consist of minimal motifs representing out-of-equilibrium cycles at the molecular scale and support chiral edge currents in configuration space. These currents arise in the topological phase due to the bulk-boundary correspondence and dominate the system dynamics in t…

6. Apparenté Pas pertinent

   Dissipation in Hydrodynamics from Micro- to Macroscale: Wisdom from Boltzmann and Stochastic Thermodynamics

   Danilo Forastiere, Francesco Avanzini, Massimiliano Esposito · 2023 · Mécanique statistique · Résumé IA disponible

   Résumé scientifique

   We show that macroscopic irreversible thermodynamics for viscous fluids can be derived from exact information-theoretic thermodynamic identities valid at the microscale. Entropy production in particular is a measure of the loss of many-particle correlations in the same way in which it measures the loss of system-reservoirs correlations in stochastic thermodynamics (ST). More specifically, we first show that boundary conditions at the macroscopic level define a natural decomposition of the entropy production rate (EPR) in terms of thermodynamic forces multiplying their conjugated currents, as well as a change in suitable nonequilibrium potential that acts as a Lyapunov function in absence of …

7. Apparenté Pas pertinent

   Maximum Kolmogorov-Sinai entropy vs minimum mixing time in Markov chains

   Martin Mihelich, Berengere Dubrulle, Didier Paillard et al. · 2015 · Mécanique statistique · Résumé IA disponible

   Résumé scientifique

   Many modern techniques employed in physics, such a computation of path integrals, rely on random walks on graphs that can be represented as Markov chains. Traditionally, estimates of running times of such sampling algorithms are computed using the number of steps in the chain needed to reach the stationary distribution. This quantity is generally defined as mixing time and is often difficult to compute. In this paper, we suggest an alternative estimate based on the Kolmogorov-Sinai entropy, by establishing a link between the maximization of KSE and the minimization of the mixing time. Since KSE are easier to compute in general than mixing time, this link provides a new faster method to appro…

8. Apparenté Pas pertinent

   Nonperturbative Effects on the Ferromagnetic Transition in Repulsive Fermi Gases

   Lianyi He, Xu-Guang Huang · 2011 · Phys. Rev. A 85, 043624 (2012) · Résumé IA disponible

   Résumé scientifique

   It is generally believed that a dilute spin-1/2 Fermi gas with repulsive interactions can undergo a ferromagnetic phase transition to a spin-polarized state at a critical gas parameter $(k_{\rm F}a)_c$. Previous theoretical predictions of the ferromagnetic phase transition have been based on the perturbation theory, which treats the gas parameter as a small number. On the other hand, Belitz, Kirkpatrick, and Vojta (BKV) have argued that the phase transition in clean itinerant ferromagnets is generically of first order at low temperatures, due to the correlation effects that lead to a nonanalytic term in the free energy. The second-order perturbation theory predicts a first-order phase transi…