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Transition pathways of stochastic dynamical systems are typically approximated by instantons. Here we show, using a dynamical system containing two competing pathways, that at low-to-intermediate temperatures, instantons can fail to capture…

Statistical Mechanics · Physics 2022-08-05 Lukas Kikuchi , Ronojoy Adhikari , Julian Kappler

We explore inflation via the effective potential of the minimal Wess-Zumino model, considering both the real and imaginary components of the complex field. Using transport techniques, we calculate the full allowed range of $n_s$, $r$ and…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-18 John Ellis , Nick E. Mavromatos , David J. Mulryne

Starting from a master equation in a quantum Hamiltonian form and a coupling to a heat bath we derive an evolution equation for a collective hopping process under the influence of a stochastic energy landscape. There results different…

Statistical Mechanics · Physics 2009-10-31 Michael Schulz , Steffen Trimper

By implementing a genetic algorithm we search for stable vacua in Type IIB non-geometric flux compactification on an isotropic torus with orientifold 3-planes. We find that the number of stable dS and AdS vacua are of the same order.…

High Energy Physics - Theory · Physics 2015-06-12 Cesar Damian , Luis R. Diaz-Barron , Oscar Loaiza-Brito , M. Sabido

In this paper we define a discrete dynamical system that governs the evolution of a population of agents. From the dynamical system, a variant of Differential Evolution is derived. It is then demonstrated that, under some assumptions on the…

Computational Engineering, Finance, and Science · Computer Science 2016-11-17 Massimiliano Vasile , Edmondo Minisci , Marco Locatelli

Most theories of evolutionary diversification are based on equilibrium assumptions: they are either based on optimality arguments involving static fitness landscapes, or they assume that populations first evolve to an equilibrium state…

Populations and Evolution · Quantitative Biology 2017-02-07 Iaroslav Ispolatov , Vaibhav Madhok , Michael Doebeli

We study the moduli space of type IIB string theory flux compactifications on the mirror of the CY quintic 3-fold in P4. We focus on the dynamics of the four dimensional moduli space, defined by the axio-dilaton {\tau} and the complex…

High Energy Physics - Theory · Physics 2016-05-27 Nana Cabo Bizet , Oscar Loaiza-Brito , Ivonne Zavala

We provide a systematic framework for theories of multiple axions. We discover a novel type of "alignment" that renders even very complex theories analytically tractable. Theories with about 100 axions and random parameters have an…

High Energy Physics - Theory · Physics 2018-09-12 Thomas C. Bachlechner , Kate Eckerle , Oliver Janssen , Matthew Kleban

Open inflation scenario is attracting a renewed interest in the context of string landscape. Since there are a large number of metastable de Sitter vacua in string landscape, tunneling transitions to lower metastable vacua through the…

High Energy Physics - Theory · Physics 2011-09-08 Daisuke Yamauchi , Andrei Linde , Atsushi Naruko , Misao Sasaki , Takahiro Tanaka

If the inflaton potential has multiple minima, as may be expected in, e.g., the string theory "landscape", inflation predicts a probability distribution for the cosmological parameters describing spatial curvature (Omega_tot), dark energy…

Astrophysics · Physics 2009-10-07 Max Tegmark

The recently proposed Swampland Criteria aim to evade any (meta-)stable de Sitter constructions within String landscapes, making it difficult to accommodate accelerating phases, like dark energy domination and inflationary epoch, in…

High Energy Physics - Theory · Physics 2019-04-12 Suratna Das

A generic non-minimal coupling can push any higher-order terms of the scalar potential sufficiently far out in field space to yield observationally viable plateau inflation. We provide analytic and numerical evidence that this generically…

High Energy Physics - Theory · Physics 2016-10-28 Benedict J. Broy , Dries Coone , Diederik Roest

In holographic inflation, the $4D$ cosmological dynamics is postulated to be dual to the renormalization group flow of a $3D$ Euclidean conformal field theory with marginally relevant operators. The scalar potential of the $4D$ theory ---in…

High Energy Physics - Theory · Physics 2019-05-22 Ana Achucarro , Sebastian Cespedes , Anne-Christine Davis , Gonzalo A. Palma

We address the problem of the large initial field values in chaotic inflation and propose a remedy in the framework of the so-called assisted inflation. We demonstrate that a 4-dimensional theory of multiple, scalar fields with initial…

High Energy Physics - Phenomenology · Physics 2009-09-15 Panagiota Kanti , Keith A. Olive

We explore whether multifield inflationary models make unambiguous predictions for fundamental cosmological observables. Focusing on $N$-quadratic inflation, we numerically evaluate the full perturbation equations for models with 2, 3, and…

Cosmology and Nongalactic Astrophysics · Physics 2014-04-29 Richard Easther , Jonathan Frazer , Hiranya V. Peiris , Layne C. Price

The domain wall problem and the isocurvature problem restrict possible combinations of axion models and inflation models. In this paper, we considered a new mechanism which solves those problems by dynamics of multiple scalar fields…

High Energy Physics - Phenomenology · Physics 2020-02-26 Masahiro Ibe , Shin Kobayashi , Motoo Suzuki , Tsutomu T. Yanagida

Agent-based stochastic models for finite populations have recently received much attention in the game theory of evolutionary dynamics. Both the ultimate fixation and the pre-fixation transient behavior are important to a full understanding…

Populations and Evolution · Quantitative Biology 2015-03-17 Da Zhou , Hong Qian

In the eternally inflationary background driven by the metastable vacua of the landscape, it is possible that some local quantum fluctuations with the null energy condition violation can be large enough to stride over the barriers among…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yun-Song Piao

Many important challenges in science and technology can be cast as optimization problems. When viewed in a statistical physics framework, these can be tackled by simulated annealing, where a gradual cooling procedure helps search for…

Disordered Systems and Neural Networks · Physics 2024-01-17 Mohamed Hibat-Allah , Estelle M. Inack , Roeland Wiersema , Roger G. Melko , Juan Carrasquilla

We show that the shape of the inflationary landscape potential may be constrained by analyzing cosmological data. The quantum fluctuations of fields orthogonal to the inflationary trajectory may have probed the structure of the local…

Cosmology and Nongalactic Astrophysics · Physics 2018-10-18 Xingang Chen , Gonzalo A. Palma , Bruno Scheihing Hitschfeld , Spyros Sypsas