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<!doctype html>
<html lang="en">
<head>
<meta charset="UTF-8" />
<meta name="viewport" content="width=device-width, initial-scale=1.0" />
<title>PHSD-PHQMD | Home</title>
<meta name="description" content="PHSD-PHQMD: unified non-equilibrium microscopic transport approach for hadronic and partonic matter." />
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<body data-page="home">
<header class="site-header">
<div class="container nav-shell">
<a class="brand" href="index.html">
<img src="assets/img/logo.png" alt="PHSD logo" />
<span>PHSD-PHQMD</span>
</a>
<nav class="nav-links" aria-label="Primary">
<a href="index.html" data-page="home">Home</a>
<a href="about.html" data-page="about">About</a>
<a href="code.html" data-page="code">Download Code</a>
<a href="manual.html" data-page="manual">User Guide</a>
<a href="publications.html" data-page="publications">Publications</a>
<a href="talks.html" data-page="talks">Talks</a>
<a href="team.html" data-page="team">Team</a>
</nav>
</div>
</header>
<main class="page container">
<section class="hero reveal">
<div class="hero-grid">
<div>
<p class="eyebrow">Relativistic Heavy-Ion Collisions</p>
<div class="hero-title-row">
<div class="hero-combo-logo">
<img src="assets/img/PHSDPHQMD.png" alt="PHSD-PHQMD combined logo" loading="eager" decoding="async" />
</div>
<h1>PHSD-PHQMD</h1>
</div>
<p class="lead">
A unified non-equilibrium microscopic transport approach for the description of the dynamics of strongly-interacting hadronic and partonic matter.
</p>
<div class="button-row">
<a class="btn btn-primary" href="about.html">Read About PHSD-PHQMD</a>
<a class="btn btn-secondary" href="code.html">Download the Code</a>
<a class="btn btn-talks" href="manual.html">User Guide</a>
</div>
</div>
<aside class="hero-aside">
<h3>Quick Links</h3>
<ul>
<li><strong>PHSD:</strong> Parton-Hadron-String Dynamics, a microscopic off-shell transport approach for the description of strongly interacting hadronic and partonic matter</li>
<li><strong>PHQMD:</strong> Parton-Hadron-Quantum-Molecular Dynamics, A Novel Microscopic N-Body Transport Approach for Heavy-Ion Collisions</li>
</ul>
<div class="button-row">
<a class="btn btn-with-logo btn-quick-link" href="phsd.html">
<img src="assets/img/logo_phsd.png" alt="" aria-hidden="true" />
<span>PHSD</span>
</a>
<a class="btn btn-with-logo btn-quick-link" href="phqmd.html">
<img src="assets/img/logo_phqmd.png" alt="" aria-hidden="true" />
<span>PHQMD</span>
</a>
</div>
</aside>
</div>
<div class="hero-main-gif">
<img src="assets/img/movie_AuAu.gif" alt="Au+Au simulation movie" loading="lazy" decoding="async" />
</div>
<article class="card hero-sim-description" id="home-workflow">
<h2>PHSD-PHQMD Modeling Workflow</h2>
<p>
PHSD-PHQMD is a Fortran-based unified transport simulation framework for relativistic heavy-ion collisions as well as proton- and pion-nucleus reactions. It combines two complementary descriptions of baryon dynamics: PHSD, which uses mean-field BUU transport, and PHQMD, which uses a Quantum Molecular Dynamics (QMD) n-body approach. The overview image below summarizes this modeling scheme.
</p>
<ul class="simple-list">
<li>In both modes, the subsequent evolution includes quarks, gluons, mesons, and hadrons, propagated within non-equilibrium Kadanoff-Baym and BUU dynamics.</li>
<li>Interactions are handled through a collision integral for off-shell hadrons and QGP partons, with the <strong>Dynamical-QuasiParticle Model (DQPM)</strong> describing the partonic medium.</li>
<li>Final-state nuclear fragments and produced clusters can be reconstructed with <strong>MST</strong> (Minimum Spanning Tree), <strong>SACA</strong> (Simulated Annealing Cluster Algorithm), or <strong>coalescence-based</strong> algorithms.</li>
<li>The simulated events are exported in <strong>OSCAR</strong>, <strong>ROOT</strong>, and <strong>Rivet</strong> formats.</li>
</ul>
</article>
<div class="stack-images">
<img class="plain-image" src="assets/img/PHSD-PHQMD.png" alt="PHSD-PHQMD overview" loading="eager" decoding="async" />
</div>
<div class="hero-workflow-grid card-grid three">
<article class="card">
<h3>1. Two Initialization Modes</h3>
<p><strong>PHSD mode:</strong> A+A initialization and baryon propagation with mean-field dynamics (BUU).</p>
<p><strong>PHQMD mode:</strong> A+A initialization and baryon propagation with Quantum Molecular Dynamics (QMD).</p>
</article>
<article class="card">
<h3>2. Shared Transport Core </h3>
<p>Parallel ensemble method. Propagation of partons (quarks, gluons) and mesons with off-shell mean-field Kadanoff-Baym and/or BUU dynamics. </p>
</article>
<article class="card">
<h3>3. Collision Integral</h3>
<p>Unified treatment of off-shell hadronic and partonic (QGP) interactions.</p>
</article>
<article class="card">
<h3>4. Cluster Recognition</h3>
<p>MST, SACA, and coalescence mechanisms are available to reconstruct final-state clusters.</p>
</article>
<article class="card">
<h3>5. Final Outputs</h3>
<p>Event-by-event outputs prepared for analysis workflows in OSCAR, ROOT, and Rivet-like formats.</p>
</article>
<article class="card">
<h3>6. Continuous Dynamics</h3>
<p>No artificial micro-to-macro handover: a continuous dynamical description from initial state to final hadrons and leptons.</p>
</article>
</div>
<section class="hero-feature-band" id="home-features">
<div class="hero-feature-head">
<div>
<p class="highlight-kicker">New Features</p>
<h2 class="hero-feature-title">Special Features of PHSD-PHQMD</h2>
</div>
<div class="hero-feature-logos" aria-hidden="true">
<span class="hero-feature-logo-shell hero-feature-logo-combo">
<img src="assets/img/PHSDPHQMD.png" alt="" />
</span>
</div>
</div>
<div class="hero-feature-grid hero-feature-grid-double">
<ul class="hero-feature-list hero-feature-list-updated">
<li class="feature-item is-extended"><span class="feature-blue-strong">Possibility to study mean-field versus QMD dynamics based on one framework</span></li>
<li class="feature-item is-extended">Kadanoff-Baym dynamics for off-shell hadrons and partons</li>
<li class="feature-item is-extended feature-group-start">Phase transition from hadronic to partonic matter</li>
<li class="feature-item is-extended">Description of QGP in terms of strongly interacting quasiparticles based on DQPM in-line with lQCD EoS</li>
<li class="feature-item is-extended feature-group-start">Chiral symmetry restoration via Schwinger mechanism for string breaking</li>
<li class="feature-item is-extended">In-medium effects within G(T)-matrix for strangeness</li>
</ul>
<ul class="hero-feature-list hero-feature-list-updated">
<li class="feature-item is-extended">Realization of n↔m reactions for specific channels</li>
<li class="feature-item is-extended">Open/hidden charm/bottom dynamics</li>
<li class="feature-item is-extended">Electromagnetic probes (dileptons, photons)</li>
<li class="feature-item is-extended">Dark matter: dark photons</li>
<li class="feature-item is-extended">Dynamically generated electromagnetic fields </li>
<li class="feature-item is-extended feature-group-start"><span class="feature-red-strong">PHQMD mode:</span></li>
<li class="feature-subline">- EoS with hard, soft and soft momentum dependent potential</li>
<li class="feature-subline">- Mechanisms for cluster production in PHQMD: MST/SACA, kinetic and coalescence</li>
</ul>
</div>
</section>
<div class="button-row dqpm-cta-row">
<a class="btn btn-with-logo btn-quick-link dqpm-cta-btn" href="dqpm.html">
<img src="assets/dqpm/DQPM_logo.png" alt="DQPM logo" loading="lazy" decoding="async" />
Read About DQPM
</a>
</div>
<div class="hero-highlights hero-highlights-carousel">
<article class="hero-highlight hero-carousel-card">
<div class="hero-highlight-content">
<p class="highlight-kicker">Highlight</p>
<h3>Publications</h3>
</div>
<div class="hero-carousel" data-carousel aria-label="Highlighted publications">
<button class="carousel-control" type="button" data-carousel-prev aria-label="Previous publication">❮</button>
<div class="carousel-viewport">
<div class="carousel-track"><article class="carousel-slide">
<div class="carousel-slide-group">
<div class="carousel-slide-inner carousel-slide-publication">
<div class="carousel-slide-copy">
<strong>Parton transport and hadronization from the dynamical quasiparticle point of view</strong>
<span>W. Cassing, E. L. Bratkovskaya · Phys. Rev. C 78 (2008) 034919</span>
</div>
<figure class="carousel-slide-figure">
<img src="assets/p1.png" alt="Time evolution in the parton, meson and baryon number" loading="lazy" decoding="async" />
<figcaption>Time evolution in the parton, meson and baryon number.</figcaption>
</figure>
</div>
<div class="carousel-slide-inner carousel-slide-publication">
<div class="carousel-slide-copy">
<strong>Parton-Hadron-String Dynamics: an off-shell transport approach for relativistic energies</strong>
<span>W. Cassing, E. L. Bratkovskaya · Nucl. Phys. A 831 (2009) 215-242</span>
</div>
<figure class="carousel-slide-figure">
<img src="assets/p2.png" alt="Partonic energy fraction with time" loading="lazy" decoding="async" />
<figcaption>Partonic energy fraction with time.</figcaption>
</figure>
</div>
</div>
</article>
<article class="carousel-slide">
<div class="carousel-slide-group">
<div class="carousel-slide-inner carousel-slide-publication">
<div class="carousel-slide-copy">
<strong>Exploring the partonic phase at finite chemical potential within an extended off-shell transport approach</strong>
<span>P. Moreau, O. Soloveva, L. Oliva, T. Song, W. Cassing, E. Bratkovskaya · Phys. Rev. C 100 (2019) 014911</span>
</div>
<figure class="carousel-slide-figure">
<img src="assets/p6.png" alt="Energy density for central Pb+Pb collisions" loading="lazy" decoding="async" />
<figcaption>Energy density for central Pb+Pb collisions.</figcaption>
</figure>
</div>
<div class="carousel-slide-inner carousel-slide-publication">
<div class="carousel-slide-copy">
<strong>Electromagnetic emission from strongly interacting hadronic and partonic matter created in heavy-ion collisions</strong>
<span>A. W. Romero Jorge, T. Song, Q. Zhou, E. Bratkovskaya · Phys. Rev. C 111 (2025) 064904</span>
</div>
<figure class="carousel-slide-figure">
<img src="assets/p7.png" alt="Invariant mass spectra for Pb+Pb" loading="lazy" decoding="async" />
<figcaption>Invariant mass spectra for Pb+Pb.</figcaption>
</figure>
</div>
</div>
</article>
<article class="carousel-slide">
<div class="carousel-slide-group">
<div class="carousel-slide-inner carousel-slide-publication">
<div class="carousel-slide-copy">
<strong>Parton-Hadron-Quantum-Molecular Dynamics (PHQMD) - A Novel Microscopic N-Body Transport Approach for Heavy-Ion Collisions, Dynamical Cluster Formation and Hypernuclei Production</strong>
<span>J. Aichelin, E. Bratkovskaya, A. Le Fevre, V. Kireyeu, V. Kolesnikov, Y. Leifels, V. Voronyuk, G. Coci · Phys. Rev. C 101 (2020) 044905</span>
</div>
<figure class="carousel-slide-figure">
<img src="assets/q1.png" alt="PHQMD cluster multiplicity versus bound charge" loading="lazy" decoding="async" />
<figcaption>Rise-and-fall of cluster multiplicity versus bound charge.</figcaption>
</figure>
</div>
<div class="carousel-slide-inner carousel-slide-publication">
<div class="carousel-slide-copy">
<strong>Dynamical mechanisms for deuteron production at mid-rapidity in relativistic heavy-ion collisions from energies available at the GSI Schwerionensynchrotron to those at the BNL Relativistic Heavy Ion Collider</strong>
<span>G. Coci, S. Gläßel, V. Kireyeu, J. Aichelin, C. Blume, E. Bratkovskaya, V. Kolesnikov, V. Voronyuk · Phys. Rev. C 108 (2023) 014902</span>
</div>
<figure class="carousel-slide-figure">
<img src="assets/q2.png" alt="Mid-rapidity excitation function for deuterons" loading="lazy" decoding="async" />
<figcaption>Mid-rapidity excitation function for deuterons in Au+Au.</figcaption>
</figure>
</div>
</div>
</article>
<article class="carousel-slide">
<div class="carousel-slide-group">
<div class="carousel-slide-inner carousel-slide-publication">
<div class="carousel-slide-copy">
<strong>Constraints on the equation-of-state from low energy heavy-ion collisions within the PHQMD microscopic approach with momentum-dependent potential</strong>
<span>V. Kireyeu, V. Voronyuk, M. Winn, S. Gläßel, J. Aichelin · arXiv:2411.04969 (2024)</span>
</div>
<figure class="carousel-slide-figure">
<img src="assets/q8.png" alt="Elliptic-flow constraints for deuterons and EoS sensitivity" loading="lazy" decoding="async" />
<figcaption>Elliptic-flow constraints and EoS sensitivity.</figcaption>
</figure>
</div>
<div class="carousel-slide-inner carousel-slide-publication">
<div class="carousel-slide-copy">
<strong>Probing the nuclear equation of state with clusters and hypernuclei</strong>
<span>Y. Zhou, S. Gläßel, L. Yue-Hang et al. · Phys. Rev. C 113 (2026) 014909</span>
</div>
<figure class="carousel-slide-figure">
<img src="assets/q9.png" alt="Directed-flow constraints from light clusters for EoS scenarios" loading="lazy" decoding="async" />
<figcaption>Directed-flow constraints from light clusters for EoS scenarios.</figcaption>
</figure>
</div>
</div>
</article></div>
</div>
<button class="carousel-control" type="button" data-carousel-next aria-label="Next publication">❯</button>
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<div class="carousel-dots" data-carousel-dots aria-label="Publication slides"></div>
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<a class="btn btn-secondary" href="publications.html">Open Publications</a>
</div>
</article>
<article class="hero-highlight hero-carousel-card">
<div class="hero-highlight-content">
<p class="highlight-kicker">Highlight</p>
<h3>Selected Talks</h3>
</div>
<div class="hero-carousel" data-carousel aria-label="Highlighted talks">
<button class="carousel-control" type="button" data-carousel-prev aria-label="Previous talk">❮</button>
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<figure class="carousel-talk-preview">
<img src="assets/talks/t1.png" alt="Cover: Electromagnetic emission from strongly interacting hadronic and partonic matter" loading="lazy" decoding="async" />
</figure>
<strong>Electromagnetic emission from strongly interacting hadronic and partonic matter</strong>
<span>Elena Bratkovskaya · Non-equilibrium Dynamics (NeD-2026), France · Feb-2026</span>
<a class="link carousel-slide-link" href="assets/talks/Elena_Bratkovskaya_NeD2026.pdf" target="_blank" rel="noopener">Open slides</a>
</div>
<div class="carousel-slide-inner carousel-slide-talk">
<figure class="carousel-talk-preview">
<img src="assets/talks/t2.png" alt="Cover: A Microscopic Transport Framework for Heavy-Ion Collisions from High to Low Energies - PHSD/PHQMD" loading="lazy" decoding="async" />
</figure>
<strong>A Microscopic Transport Framework for Heavy-Ion Collisions from High to Low Energies - PHSD/PHQMD</strong>
<span>Jiaxing Zhao · Non-equilibrium QCD and Transport @ Huizhou · Dec-2025</span>
<a class="link carousel-slide-link" href="assets/talks/Jxzhao_20251211_huizhou.pdf" target="_blank" rel="noopener">Open slides</a>
</div>
<div class="carousel-slide-inner carousel-slide-talk">
<figure class="carousel-talk-preview">
<img src="assets/talks/t3.png" alt="Cover: Cluster production in PHQMD" loading="lazy" decoding="async" />
</figure>
<strong>Cluster production in PHQMD</strong>
<span>Elena Bratkovskaya · EMMI Workshop, GSI-Darmstadt · Nov-2025</span>
<a class="link carousel-slide-link" href="assets/talks/Bratkovskaya_PHQMD-Nov2025.pdf" target="_blank" rel="noopener">Open slides</a>
</div>
</div>
</article>
<article class="carousel-slide">
<div class="carousel-slide-group carousel-slide-group-talks">
<div class="carousel-slide-inner carousel-slide-talk">
<figure class="carousel-talk-preview">
<img src="assets/talks/t4.png" alt="Cover: Attenuation of jet partons and heavy quarks in strongly interacting QGP" loading="lazy" decoding="async" />
</figure>
<strong>Attenuation of jet partons and heavy quarks in strongly interacting QGP</strong>
<span>Elena Bratkovskaya · CERN workshop on high-energy probes · Apr-2025</span>
<a class="link carousel-slide-link" href="assets/talks/Elena_Bratkovskaya_CERN_1Apr2025.pdf" target="_blank" rel="noopener">Open slides</a>
</div>
<div class="carousel-slide-inner carousel-slide-talk">
<figure class="carousel-talk-preview">
<img src="assets/talks/t5.png" alt="Cover: PHSD/PHQMD for FAIR" loading="lazy" decoding="async" />
</figure>
<strong>PHSD/PHQMD for FAIR</strong>
<span>Elena Bratkovskaya · 45th CBM Collaboration Meeting, GSI-Darmstadt · Feb-2025</span>
<a class="link carousel-slide-link" href="assets/talks/Bratkovskaya_PHSD_PHQMD_4CBM_Feb2025.pdf" target="_blank" rel="noopener">Open slides</a>
</div>
<div class="carousel-slide-inner carousel-slide-talk">
<figure class="carousel-talk-preview">
<img src="assets/talks/t6.png" alt="Cover: Constraining Dark Photon Kinetic Mixing in Heavy-Ion Collisions from SIS to LHC energies" loading="lazy" decoding="async" />
</figure>
<strong>Constraining Dark Photon Kinetic Mixing in Heavy-Ion Collisions from SIS to LHC energies</strong>
<span>A. W. Romero Jorge · Dark Matter Conference, Santander · Jun-2025</span>
<a class="link carousel-slide-link" href="assets/talks/DM25_Adrian_Romero.pdf" target="_blank" rel="noopener">Open slides</a>
</div>
</div>
</article>
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<div class="carousel-slide-inner carousel-slide-talk">
<figure class="carousel-talk-preview">
<img src="assets/talks/t7.png" alt="Cover: Combined constraints on dark photons from high-energy collisions, cosmology, and astrophysics" loading="lazy" decoding="async" />
</figure>
<strong>Combined constraints on dark photons from high-energy collisions, cosmology, and astrophysics</strong>
<span>A. W. Romero Jorge · DMLab: DarkMatter@Bonn · Oct-2025</span>
<a class="link carousel-slide-link" href="assets/talks/DMLab_Meeting.pdf" target="_blank" rel="noopener">Open slides</a>
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<div class="carousel-slide-inner carousel-slide-talk">
<figure class="carousel-talk-preview">
<img src="assets/talks/t8.png" alt="Cover: Kinetic and potential mechanisms for deuteron production in HICs" loading="lazy" decoding="async" />
</figure>
<strong>Kinetic and potential mechanisms for deuteron production in HICs</strong>
<span>Gabriele Coci · STRONG workshop, Italy · Oct-2023</span>
<a class="link carousel-slide-link" href="assets/talks/Gabriele_Coci-HFHF-STRONG-Oct2023.pdf" target="_blank" rel="noopener">Open slides</a>
</div>
<div class="carousel-slide-inner carousel-slide-talk">
<figure class="carousel-talk-preview">
<img src="assets/talks/t9.png" alt="Cover: Charm dynamics in heavy-ion collisions" loading="lazy" decoding="async" />
</figure>
<strong>Charm dynamics in heavy-ion collisions</strong>
<span>Elena Bratkovskaya · NA7-HF-QGP (STRONG-2020) workshop · Sep-2023</span>
<a class="link carousel-slide-link" href="assets/talks/Elena_Bratkovskaya-charm_Sep2023.pdf" target="_blank" rel="noopener">Open slides</a>
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</article>
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<figure class="carousel-talk-preview">
<img src="assets/talks/t10.png" alt="Cover: In-medium effects on hidden strangeness production in heavy-ion collisions" loading="lazy" decoding="async" />
</figure>
<strong>In-medium effects on hidden strangeness production in heavy-ion collisions</strong>
<span>Taesoo Song · SQM conference, Korea · Jun-2022</span>
<a class="link carousel-slide-link" href="assets/talks/2022SQM-song_final.pdf" target="_blank" rel="noopener">Open slides</a>
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<div class="carousel-slide-inner carousel-slide-talk">
<figure class="carousel-talk-preview">
<img src="assets/talks/t11.png" alt="Cover: The impact of electromagnetic and vortical fields in relativistic nuclear collisions" loading="lazy" decoding="async" />
</figure>
<strong>The impact of electromagnetic and vortical fields in relativistic nuclear collisions</strong>
<span>Lucia Oliva · Arizona State University colloquium (online) · Jan-2021</span>
<a class="link carousel-slide-link" href="assets/talks/Colloquium_Slides_Oliva.pdf" target="_blank" rel="noopener">Open slides</a>
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<div class="carousel-slide-inner carousel-slide-talk">
<figure class="carousel-talk-preview">
<img src="assets/talks/t12.png" alt="Cover: Exploring the QGP at finite baryon chemical potential in and out of equilibrium" loading="lazy" decoding="async" />
</figure>
<strong>Exploring the QGP at finite baryon chemical potential in and out of equilibrium</strong>
<span>Elena Bratkovskaya · Arizona State University colloquium (online) · Jan-2021</span>
<a class="link carousel-slide-link" href="assets/talks/Bratkovskaya_Arizona_20Jan2021.pdf" target="_blank" rel="noopener">Open slides</a>
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</section>
<section class="section reveal movies-section" id="home-movies">
<div class="section-heading">
<h2>Movies</h2>
<p class="section-note">Selected PHSD-PHQMD simulation movies and kinematic projections.</p>
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<div class="movies-block">
<h3>Au+Au at sqrt(sNN) = 200 GeV, b = 2 fm</h3>
<p class="section-note">Top-left: Au+Au central collision b=2.2 fm. Top-right: Au+Au non-central collision b=5 fm. Bottom-left: Transverse-momentum (pT) projection Bottom-right: Rapidity (y) projection.</p>
<div class="card-grid movies-grid two">
<article class="card movie-card">
<video autoplay muted loop playsinline preload="metadata">
<source src="assets/movies/movie_AuAu_200GeV_b2fm.webm" type="video/webm" />
</video>
</article>
<article class="card movie-card">
<video autoplay muted loop playsinline preload="metadata">
<source src="assets/movies/movie_AuAu_200GeV_b5fm.webm" type="video/webm" />
</video>
</article>
<article class="card movie-card">
<video autoplay muted loop playsinline preload="metadata">
<source src="assets/movies/movie_AuAu_200GeV_b2fm_pt.webm" type="video/webm" />
</video>
</article>
<article class="card movie-card">
<video autoplay muted loop playsinline preload="metadata">
<source src="assets/movies/movie_AuAu_200GeV_b2fm-y.webm" type="video/webm" />
</video>
</article>
</div>
</div>
<div class="movies-block">
<h3>Au+Au at fixed-target energies</h3>
<p class="section-note">Comparison of transport dynamics at 35 AGeV (left) and 10 AGeV (right).</p>
<div class="card-grid movies-grid two">
<article class="card movie-card">
<video autoplay muted loop playsinline preload="metadata">
<source src="assets/movies/movie_AuAu_35AGeV.webm" type="video/webm" />
</video>
</article>
<article class="card movie-card">
<video autoplay muted loop playsinline preload="metadata">
<source src="assets/movies/movie_AuAu_10AGeV.webm" type="video/webm" />
</video>
</article>
</div>
</div>
<div class="movies-block">
<h3>System-size and energy scan</h3>
<p class="section-note">Pb+Pb at 158 AGeV (left), d+Au (center), and p+Pb at 5 TeV (right).</p>
<div class="card-grid movies-grid three">
<article class="card movie-card">
<video autoplay muted loop playsinline preload="metadata">
<source src="assets/movies/movie_PbPb_158AGeV.webm" type="video/webm" />
</video>
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<article class="card movie-card">
<video autoplay muted loop playsinline preload="metadata">
<source src="assets/movies/movie_dAu.webm" type="video/webm" />
</video>
</article>
<article class="card movie-card">
<video autoplay muted loop playsinline preload="metadata">
<source src="assets/movies/movie_Pierre_pPb_5TeV.webm" type="video/webm" />
</video>
</article>
</div>
</div>
<div class="movies-block">
<h3>p+Pb at 5.0 TeV, b = 0</h3>
<p class="section-note">Lorentz-contracted view (right) and standard coordinate view (left).</p>
<div class="card-grid movies-grid two">
<article class="card movie-card">
<video autoplay muted loop playsinline preload="metadata">
<source src="assets/movies/movie_p-Pb_5.0TeV_b0_Lorentz.webm" type="video/webm" />
</video>
</article>
<article class="card movie-card">
<video autoplay muted loop playsinline preload="metadata">
<source src="assets/movies/movie_p-Pb_5.0TeV_b0.mp4" type="video/mp4" />
</video>
</article>
</div>
</div>
<div class="movies-block">
<h3>Energy Density and Chiral Condensate Evolution (Au+Au at 200 GeV)</h3>
<p class="section-note">Left: space-time evolution of the total energy density. Right: evolution of the chiral condensate (SQC), illustrating in-medium chiral-symmetry restoration dynamics.</p>
<div class="card-grid movies-grid two">
<article class="card movie-card">
<img src="assets/movies/Energy_Density_AuAu200GeV.gif" alt="Energy-density evolution for Au+Au at 200 GeV" loading="lazy" decoding="async" />
</article>
<article class="card movie-card">
<video autoplay muted loop playsinline preload="metadata">
<source src="assets/movies/Chiral_condensate_SQC.webm" type="video/webm" />
</video>
</article>
</div>
</div>
</section>
<section class="section reveal" id="home-contact">
<div class="section-heading">
<h2>Contact Us</h2>
<p class="section-note">For questions about the PHSD-PHQMD code, collaboration requests, or general inquiries, please contact us directly.</p>
</div>
<article class="card">
<h3>PHSD-PHQMD Contact</h3>
<p>Email: <a class="link" href="mailto:phsd.phqmd@gmail.com">phsd.phqmd@gmail.com</a></p>
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</section>
<section class="section reveal">
<div class="section-heading">
<h2>Navigate The Site</h2>
<p class="section-note">All content from the previous PHSD-PHQMD website is preserved and reorganized.</p>
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<div class="card-grid site-nav-grid">
<article class="card">
<h3>About PHSD-PHQMD</h3>
<p>Method, physical assumptions, and transport-theory foundations.</p>
<div class="link-row"><a class="link" href="about.html">Open page</a></div>
</article>
<article class="card">
<h3>Download Code</h3>
<p>Request access form for collaborations and code-distribution workflow.</p>
<div class="link-row"><a class="link" href="code.html">Open page</a></div>
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<article class="card">
<h3>User Guide</h3>
<p>How to run the code, requirements, and execution workflow.</p>
<div class="link-row"><a class="link" href="manual.html">Open page</a></div>
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<article class="card">
<h3>Publications</h3>
<p>Recommended citations, references, DOI/arXiv/Inspire links, and yearly archives.</p>
<div class="link-row"><a class="link" href="publications.html">Open page</a></div>
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<article class="card">
<h3>Selected Talks</h3>
<p>Curated seminar and conference talks with direct slide downloads.</p>
<div class="link-row"><a class="link" href="talks.html">Open page</a></div>
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<article class="card">
<h3>Team</h3>
<p>Group members, collaborators, contact details, and publication profiles.</p>
<div class="link-row"><a class="link" href="team.html">Open page</a></div>
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