Suppression of anisotropic flow without viscosity Adam Takacs * University of Bergen (Norway) & Eotvos University (Hungary) Denes Molnar Purdue University (U.S.) Konrad Tywoniuk University of Bergen (Norway) Gergely G. Barnafoldi Wigner Institute (Hungary) * takacs.adam@wigner.mta.hu Supported by the 18-3 New National Excellence Program of the Ministry of Human Capacities and OTKA K120660. 1 COST Workshop Lund 28-02-2019
Outline 1. Motivation: relativistic hydrodynamics to understand heavy ion collisions 2. Particlization: basics, shortcomings, influence on observables 3. How much does f matter? 4. Results: 4-source model and 2+1D hydro 5. Conclusion and outlook 2 Adam Takacs COST Workshop Lund 28-02-2019
Motivation MADAI Collaboration For students : see Gabriel Denicol’s talk about hydro from Hot Quarks 2018 https://indico.cern.ch/event/7 03015/contributions/3095199/ 3 Adam Takacs COST Workshop Lund 28-02-2019
Motivation D. Molnar & P. Huovien, J.Phys. G 35 104125 (2008) K. Dusling, G.D. Moore, D. Teaney, Phys. Rev. C 81 , 034907 (2010) D. Molnar & Z. Wolff, Phys. Rev. C 95 , 024903 (2017) • Shear viscosity is sensitive to the Reprint: Phys. Rev. C 81 , 034907 (2010) 0.5 particlization method Ideal 0.4 Linear • There is no unique way to do the 0.3 v 2 (p T ) Pure Glue particlization 0.2 Quadratic 0.1 • Thermal equilibrium is an assumption 0 0 0.5 1 1.5 2 2.5 3 3.5 4 p T [GeV] 4 Adam Takacs COST Workshop Lund 28-02-2019
Motivation D. Molnar & P. Huovien, J.Phys. G 35 104125 (2008) K. Dusling, G.D. Moore, D. Teaney, Phys. Rev. C 81 , 034907 (2010) D. Molnar & Z. Wolff, Phys. Rev. C 95 , 024903 (2017) • Shear viscosity is sensitive to the way of Reprint: Phys. Rev. C 81 , 034907 (2010) 0.5 particlization Ideal 0.4 Linear • There is no unique way to do the 0.3 v 2 (p T ) Pure Glue particlization 0.2 Quadratic 0.1 • Thermal equilibrium is an assumption 0 0 0.5 1 1.5 2 2.5 3 3.5 4 p T [GeV] Questions: 1. How sensitive is ideal hydro? 2. Is thermal equilibrium a legitimate assumption? 5 Adam Takacs COST Workshop Lund 28-02-2019
Particlization How is it done? 6 Adam Takacs COST Workshop Lund 28-02-2019
<latexit sha1_base64="Dhts9jSyGh10eGJ1qe/KAl1izZs=">AB8nicbVDLSsNAFL2pr1pfVZdugkVwVRIVdVlw47KCfUASymQyaYfOI8xMhBL6GW5cKOLWr3Hn3zhts9DWAxcO59zLvfEGaPaeN63U1lb39jcqm7Xdnb39g/qh0dLXOFSQdLJlU/RpowKkjHUMNIP1ME8ZiRXjy+m/m9J6I0leLRTDIScTQUNKUYGSsFSajpkKNByPNBveE1vTncVeKXpAEl2oP6V5hInHMiDGZI68D3MhMVSBmKGZnWwlyTDOExGpLAUoE40VExP3nqnlklcVOpbAnjztXfEwXiWk94bDs5MiO97M3E/7wgN+ltVFCR5YIvFiU5sw10p397yZUEWzYxBKEFbW3uniEFMLGplSzIfjL6+S7kXTv2x6D1eN1nUZRxVO4BTOwYcbaME9tKEDGCQ8wyu8OcZ5cd6dj0VrxSlnjuEPnM8fa8WRTA=</latexit> <latexit sha1_base64="6NzNsFxfl58VkBZVh3C4zwOmqn4=">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</latexit> <latexit sha1_base64="cHutSpUdmGQ97xMxwogDBmZFfBQ=">ACRXicbVBLSysxGM34terVZduguVK5WqZUVE3guDGlVSwKjRjyaRfazSTGfIolqF/zo17d/4DNy4UcauZWsTXB/lyOd8eZwoFVwb37/zhoZHRsfGJyYLf6b+Ts8UZ+eOdWIVgxpLRKJOI6pBcAk1w42A01QBjSMBJ9HlXq6fdEBpnsgj0hjGlb8hZn1DiqUSQHZyS25avlpZ2ydNsK6QDLnoOLhNSODrLnEyk7fUtdKhClLNRZKb/1dC21+AnZd2tWcaH/MNIolv+L3C/8EwQCU0KCqjeItaSbMxiANE1TreuCnJsyoMpwJ6BWI1ZBSdknbUHdQ0h0mPVT6OF/jmniVqLckgb32c8TGY217saRc8bUnOvWk7+ptWtaW2HGZepNSDZ+0UtK7BJcB4pbnIFzIiuA5Qp7t6K2TlVlBkXfMGFEHz/8k9wvFYJ1iv+4UZpd3MQxwRaQIuojAK0hXbRPqiGmLoGt2jR/Tk3XgP3rP38m4d8gYz8+hLea9vlUKwBA=</latexit> <latexit sha1_base64="1aU3axB+oRK89GtCDCROAk71Y=">AB8nicdVDLSsNAFJ34rPVdelmsAh1U5Km1rqy4MZlBfuAJbJZNIOnUnCzEQod/gyo0LRdz6Ca78BHd+iHunrYKHrhwOde7r3HTxiVyjTfjLn5hcWl5dxKfnVtfWOzsLXdlnEqMGnhmMWi6yNJGI1IS1HFSDcRBHGfkY4/PJ34nSsiJI2jCzVKiMdRP6IhxUhpyQlcSfscXbo87RWKZtmyqxXbhJrULduaVKpVg/rx9Aqm1MUT5L7y/X7kGzV3h1gxinEQKMySlY5mJ8jIkFMWMjPNuKkmC8BD1iaNphDiRXjY9eQz3tRLAMBa6IgWn6veJDHEpR9zXnRypgfztTcS/PCdVYd3LaJSkikR4tihMGVQxnPwPAyoIVmykCcKC6lshHiCBsNIp5XUIX5/C/0m7oMqm+dWsVEDM+TALtgDJWCBI9AZ6AJWgCDGNyAO3BvKOPWeDAeZ61zxufMDvgB4+kDF2VeQ=</latexit> Particlization: from hydro to particles L. Csernai, Introduction Relativistic Heavy Ion Collisions (1994) Conversion of fluid → particles on a 3D hypersurface: d σ µ Inside: fluid ( u µ ( x ) , ε ( x ) , P ( x ) , n ( x )) d σ µ N µ ( x ) = ( n ( x ) , ~ j ( x )) T µ ν ( x ) = [ " ( x ) + P ( x )] u µ u ν − P ( x ) g µ ν 7 Adam Takacs COST Workshop Lund 28-02-2019
<latexit sha1_base64="Dhts9jSyGh10eGJ1qe/KAl1izZs=">AB8nicbVDLSsNAFL2pr1pfVZdugkVwVRIVdVlw47KCfUASymQyaYfOI8xMhBL6GW5cKOLWr3Hn3zhts9DWAxcO59zLvfEGaPaeN63U1lb39jcqm7Xdnb39g/qh0dLXOFSQdLJlU/RpowKkjHUMNIP1ME8ZiRXjy+m/m9J6I0leLRTDIScTQUNKUYGSsFSajpkKNByPNBveE1vTncVeKXpAEl2oP6V5hInHMiDGZI68D3MhMVSBmKGZnWwlyTDOExGpLAUoE40VExP3nqnlklcVOpbAnjztXfEwXiWk94bDs5MiO97M3E/7wgN+ltVFCR5YIvFiU5sw10p397yZUEWzYxBKEFbW3uniEFMLGplSzIfjL6+S7kXTv2x6D1eN1nUZRxVO4BTOwYcbaME9tKEDGCQ8wyu8OcZ5cd6dj0VrxSlnjuEPnM8fa8WRTA=</latexit> <latexit sha1_base64="6NzNsFxfl58VkBZVh3C4zwOmqn4=">ACDHicdVDLSgMxFM34rPVFdy4CRahBSkznVrHXcGNywr2AW0tmTRtQzOZIckUy9APcOPalb/gxoUibv0Ad6IfY6ZVUNEDCSfnsvNPW7AqFSm+WrMzM7NLywmlpLK6tr6mNzar0Q4FJBfvMF3UXScIoJxVFSP1QBDkuYzU3MFxXK8NiZDU52dqFJCWh3qcdilGSkvtVDoTnje9MHOR3W8OkSCBpMzn8bMcXzHLapeZs+xC3jahJo5l20VN8oXCgXMErZw5Qbq0Hdxcv785XbqpdnxcegRrjBDUjYsM1CtCAlFMSPjZDOUJEB4gHqkoSlHpGtaLMGO5pQO7vtCHKzhRv3dEyJNy5Lna6SHVl79rsfhXrRGqrtOKA9CRTieDuqGDCofxsnADhUEKzbSBGFB9V8h7iOBsNL5JXUIX5vC/0k1r4PKmadWulQEUyTADtgFGWCBQ1ACJ6AMKgCDS3AL7sGDcWXcGY/G09Q6Y3z2bIEfMJ4/AExnZE=</latexit> <latexit sha1_base64="cHutSpUdmGQ97xMxwogDBmZFfBQ=">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</latexit> <latexit sha1_base64="1aU3axB+oRK89GtCDCROAk71Y=">AB8nicdVDLSsNAFJ34rPVdelmsAh1U5Km1rqy4MZlBfuAJbJZNIOnUnCzEQod/gyo0LRdz6Ca78BHd+iHunrYKHrhwOde7r3HTxiVyjTfjLn5hcWl5dxKfnVtfWOzsLXdlnEqMGnhmMWi6yNJGI1IS1HFSDcRBHGfkY4/PJ34nSsiJI2jCzVKiMdRP6IhxUhpyQlcSfscXbo87RWKZtmyqxXbhJrULduaVKpVg/rx9Aqm1MUT5L7y/X7kGzV3h1gxinEQKMySlY5mJ8jIkFMWMjPNuKkmC8BD1iaNphDiRXjY9eQz3tRLAMBa6IgWn6veJDHEpR9zXnRypgfztTcS/PCdVYd3LaJSkikR4tihMGVQxnPwPAyoIVmykCcKC6lshHiCBsNIp5XUIX5/C/0m7oMqm+dWsVEDM+TALtgDJWCBI9AZ6AJWgCDGNyAO3BvKOPWeDAeZ61zxufMDvgB4+kDF2VeQ=</latexit> <latexit sha1_base64="RmK+1ucuoP94jHEDHLD1x4KbgY=">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</latexit> <latexit sha1_base64="LChLeG/nxou6Mhda+/SmJY+YmcE=">AB7XicdVDLSgMxFM34rPVFdy4CRahgpSZTq3jruDGZQX7gHYomTxmaSIcmIpfQf3Agq0q3/4070Y0xbBRU9cOFwzr3ce08QM6q0b9ac/MLi0vLqZX06tr6xmZma7umRCIxqWLBhGwESBFGOalqhlpxJKgKGCkHvTPJn79mkhFBb/Ug5j4EepyGlKMtJFqYe7mKD5sZ7J23nGLBdeGhniO65YMKRSLx94pdPL2FNnybjy+f3/zKu3MS6sjcBIRrjFDSjUdO9b+ElNMSOjdCtRJEa4j7qkaShHEVH+cHrtCB4YpQNDIU1xDafq94khipQaRIHpjJDuqd/eRPzLayY69Pwh5XGiCcezRWHCoBZw8jrsUEmwZgNDEJbU3ApxD0mEtQkobUL4+hT+T2oFE1TevnCy5RKYIQX2wD7IAQecgDI4BxVQBRhcgVvwAB4tYd1ZT9Z41jpnfc7sgB+wnj8ARYCSog=</latexit> Particlization: from hydro to particles L. Csernai, Introduction Relativistic Heavy Ion Collisions (1994) Conversion of fluid → particles on a 3D hypersurface: d σ µ ( u µ ( x ) , ε ( x ) , P ( x ) , n ( x )) Inside: fluid d σ µ N µ ( x ) = ( n ( x ) , ~ j ( x )) T µ ν ( x ) = [ " ( x ) + P ( x )] u µ u ν − P ( x ) g µ ν f ( x, p ) Outside: particle Z d 3 p N µ ( x ) = p 0 p µ f ( x, p ) Z d 3 p T µ ν ( x ) = p 0 p µ p ν f ( x, p ) 8 Adam Takacs COST Workshop Lund 28-02-2019
Recommend
More recommend
