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Percolation for 2D Classical Heisenberg Model and Exit Sets of Vector Valued GFF.
Commun Math Phys
January 2025
Centro de Modelamiento Matemático (AFB170001), UMI-CNRS 2807, Universidad de Chile, Beauchef 851, Santiago, Chile.
Our motivation in this paper is twofold. First, we study the geometry of a class of exploration sets, called , which are naturally associated with a 2D vector-valued Gaussian Free Field : . We prove that, somewhat surprisingly, these sets are a.
View Article and Find Full Text PDFThe Small- Series in the Zero-Dimensional () Model: Constructive Expansions and Transseries.
Ann Henri Poincare
April 2024
Heidelberg University, Institut für Theoretische Physik, Philosophenweg 19, 69120 Heidelberg, Germany.
We consider the zero-dimensional quartic () vector model and present a complete study of the partition function (, ) and its logarithm, the free energy (, ), seen as functions of the coupling on a Riemann surface. We are, in particular, interested in the study of the transseries expansions of these quantities. The point of this paper is to recover such results using constructive field theory techniques with the aim to use them in the future for a rigorous analysis of resurgence in genuine quantum field theoretical models in higher dimensions.
View Article and Find Full Text PDFOut-of-equilibrium scaling of the energy density along the critical relaxational flow after a quench of the temperature.
Phys Rev E
June 2024
Dipartimento di Fisica dell' Università di Pisa, Largo Pontecorvo 3, I-56127 Pisa, Italy.
We study the out-of-equilibrium behavior of statistical systems along critical relaxational flows arising from instantaneous quenches of the temperature T to the critical point T_{c}, starting from equilibrium conditions at time t=0. In the case of soft quenches, i.e.
View Article and Find Full Text PDFA central goal of disease ecology is to identify the factors that drive the spread of infectious diseases. Changes in vector richness can have complex effects on disease risk, but little is known about the role of vector competence in the relationship between vector richness and disease risk. In this study, we firstly investigated the combined effects of vector competence, interspecific competition, and feeding interference on disease risk through a two-vector, one-host SIR-SI model, and obtained threshold conditions for the occurrence of dilution and amplification effects.
View Article and Find Full Text PDFPrescaling Relaxation to Nonthermal Attractors.
Phys Rev Lett
February 2024
Institut für Theoretische Physik, Universität Heidelberg, 69120 Heidelberg, Germany.
We study how isotropic and homogeneous far-from-equilibrium quantum systems relax to nonthermal attractors, which are of interest for cold atoms and nuclear collisions. We demonstrate that a first-order ordinary differential equation governs the self-similar approach to nonthermal attractors, i.e.
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