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PSpectRe: A Pseudo-Spectral Code for (P)reheating

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arxiv 1005.1921 v3 pith:QAPIWDPL submitted 2010-05-11 astro-ph.CO gr-qchep-phhep-th

classification astro-ph.COgr-qchep-phhep-th
keywords pspectrecodedifferencingfinitecodespointspseudo-spectraluniverse
verification ladder T0 review T1 audit T2 compute T3 formal
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PSpectRe is a C++ program that uses Fourier-space pseudo-spectral methods to evolve interacting scalar fields in an expanding universe. PSpectRe is optimized for the analysis of parametric resonance in the post-inflationary universe, and provides an alternative to finite differencing codes, such as Defrost and LatticeEasy. PSpectRe has both second- (Velocity-Verlet) and fourth-order (Runge-Kutta) time integrators. Given the same number of spatial points and/or momentum modes, PSpectRe is not significantly slower than finite differencing codes, despite the need for multiple Fourier transforms at each timestep, and exhibits excellent energy conservation. Further, by computing the post-resonance equation of state, we show that in some circumstances PSpectRe obtains reliable results while using substantially fewer points than a finite differencing code. PSpectRe is designed to be easily extended to other problems in early-universe cosmology, including the generation of gravitational waves during phase transitions and pre-inflationary bubble collisions. Specific applications of this code will be pursued in future work.

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Forward citations

Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Nonlinear Lattice Framework for Inflation: Bridging stochastic inflation and the $\delta{N}$ formalism

    gr-qc 2026-04 unverdicted novelty 8.0 of 10

    A shear-free locally FLRW lattice framework for single-field inflation captures spatially varying expansion, curvature corrections, and nonlinear δN observables at a fraction of the cost of full numerical relativity.

  2. Harvesting primordial black holes from stochastic trees with $\texttt{FOREST}$

    astro-ph.CO 2025-01 conditional novelty 7.0 of 10

    A stochastic-branching-tree implementation of inflation, FOREST, computes curvature maps and primordial black hole mass functions with cloud-in-cloud effects included.

  3. CosmoLattice 2.0

    astro-ph.CO 2026-07 conditional novelty 6.0 of 10

    CosmoLattice v2.0 extends lattice cosmology simulations with non-minimal scalars, ALP–gauge couplings, defect networks, low-storage RK integrators, optimized GWs, and O(10) GPU speedups.

  4. The art of simulating the early Universe. Part III: Scalar-Gauge-Fluid Dynamics

    astro-ph.CO 2026-07 accept novelty 5.0 of 10

    Detailed continuum-to-lattice schemes are given for perfect/imperfect fluids alone or coupled to scalars/gauges in FLRW, enabling self-consistent CosmoLattice simulations of early-Universe plasma dynamics and GWs.

  5. PSpectCosmo: A Pseudo-Spectral Code for Cosmological Dynamics Spanning Inflation and Reheating

    astro-ph.CO 2024-11 reject novelty 3.0 of 10

    PSpectCosmo applies a pseudo-spectral method to inflationary lattice simulations and claims to resolve the divergent vacuum energy density by tracking a quantum-to-classical ratio R.

  6. Lectures on Reheating after Inflation

    astro-ph.CO 2019-07 unverdicted

    Lecture notes providing a generic introduction to reheating after inflation, covering its theoretical, phenomenological, and observational aspects.

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