Speaker
            Mr
    Ziming Liu
            
                (Peking University)
        
        
    Description
We apply principal component analysis(PCA) to simulated data of relativistic heavy-ion collisions. Unlike traditional Fourier methods, we apply PCA directly to single particle distribution. Interesting patterns are identified by PCA as eigenmodes, from which we define new flow observables $v_n^{'}$ compared to traditional ones $v_n$. The eigenmodes are very much like traditional Fourier bases, but are slightly different. Further research shows that $v_n^{'}$ are mutually more independent than $v_n$. We then relate $v_n^{'}$ to initial eccentricity $\varepsilon_n$, finding $v_n^{'}$ do have more linearity with $\varepsilon_n$ than $v_n$ with $\varepsilon_n$. This might be a signature that relativistic hydrodynamics is not as non-linear as we originally thought. With new bases chosen by PCA, the correlations between different harmonics drop significantly.
            | Sessions (parallel only) | Heavy Ions | 
|---|---|
| Type | Parallel talk | 
Primary author
        
            
                
                        Mr
                    
                
                    
                        Ziming Liu
                    
                
                
                        (Peking University)
                    
            
        
    
        Co-authors
        
            
                
                        Prof.
                    
                
                    
                        Huichao Song
                    
                
                
                        (Peking University)
                    
            
        
            
                
                
                    
                        Wenbin Zhao
                    
                
                
                        (school of physics Peking Uniersity)
                    
            
        
    
        