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root/OpenMD/trunk/src/perturbations/UniformGradient.hpp
Revision: 2026
Committed: Wed Oct 22 12:23:59 2014 UTC (10 years, 7 months ago) by gezelter
File size: 4819 byte(s)
Log Message:
Starting to add support for UniformGradient. 
Changed Vector3d input type to a more general std::vector<RealType> input.  This change alters RNEMD and UniformField inputs.

File Contents

# User Rev Content
1 gezelter 2026 /*
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36     * [1] Meineke, et al., J. Comp. Chem. 26, 252-271 (2005).
37     * [2] Fennell & Gezelter, J. Chem. Phys. 124, 234104 (2006).
38     * [3] Sun, Lin & Gezelter, J. Chem. Phys. 128, 234107 (2008).
39     * [4] Kuang & Gezelter, J. Chem. Phys. 133, 164101 (2010).
40     * [5] Vardeman, Stocker & Gezelter, J. Chem. Theory Comput. 7, 834 (2011).
41     */
42    
43    
44     /*! \file perturbations/UniformGradient.hpp
45     \brief Uniform Electric Field Gradient perturbation
46     */
47    
48     #ifndef PERTURBATIONS_UNIFORMGRADIENT_HPP
49     #define PERTURBATIONS_UNIFORMGRADIENT_HPP
50    
51     #include "perturbations/Perturbation.hpp"
52     #include "brains/SimInfo.hpp"
53    
54     namespace OpenMD {
55    
56     struct UniGradPars {
57     RealType a;
58     RealType b;
59     RealType c;
60     RealType alpha;
61     RealType beta;
62     };
63    
64     //! Applies a uniform electric field gradient to the system
65     /*! The gradient is applied as an external perturbation. The user specifies
66    
67     \code{.unparsed}
68     uniformGradient = (a, b, c, alpha, beta);
69     \endcode
70    
71     in the .md file where the values of a, b, c, alpha, beta are in units of
72     \f$ V / \AA^2 \f$
73    
74     The electrostatic potential corresponding to this uniform gradient is
75    
76     \f$ \phi(\mathbf{r}) = - a x y - b x z - c y z - \alpha x^2 / 2 - \beta y^2 / 2 + (\alpha + \beta) z^2 / 2 \f$
77    
78     which grows unbounded and is not periodic. For these reasons,
79     care should be taken in using a Uniform Gradient with point charges.
80    
81     The corresponding field is:
82    
83     \f$ \mathbf{E} = \left( \array{c} \alpha x + a y + b z \\ a x + \beta y + c z \\ b x + c y - (\alpha + \beta) z \end{array} \right) \f$
84    
85     The field also grows unbounded and is not periodic. For these reasons,
86     care should be taken in using a Uniform Gradient with point dipoles.
87    
88     The corresponding field gradient is:
89    
90     \f$ \nabla \mathbf{E} = \left( \array{ccc} \alpha & a & b \\ a & \beta & c \\ b & c & -(\alpha + \beta) \end{array} \right) \f$
91    
92     which is uniform everywhere.
93    
94     The uniform field gradient applies a force on charged atoms,
95     \f$ \mathbf{F} = C \mathbf{E}(\mathbf{r}) \f$.
96     For dipolar atoms, the gradient applies both a potential,
97     \f$ U = -\mathbf{D} \cdot \mathbf{E}(\mathbf{r}) \f$, a force,
98     \f$ \mathbf{F} = \mathbf{D} \cdot \nabla \mathbf{E} \f$, and a torque,
99     \f$ \mathbf{\tau} = \mathbf{D} \times \mathbf{E}(\mathbf{r}) \f$.
100    
101     For quadrupolar atoms, the uniform field gradient exerts a potential,
102     \f$ U = - \mathsf{Q}:\nabla \mathbf{E} $\f, and a torque
103     \f$ \mathbf{F} = 2 \mathsf{Q} \times \nabla \mathbf{E} \f$
104    
105     */
106     class UniformGradient : public Perturbation {
107    
108    
109     public:
110     UniformGradient(SimInfo* info);
111    
112     protected:
113     virtual void initialize();
114     virtual void applyPerturbation();
115    
116     private:
117     bool initialized;
118     bool doUniformGradient;
119     bool doParticlePot;
120     Globals* simParams;
121     SimInfo* info_;
122     UniGradPars pars_;
123     Mat3x3d Grad_;
124     Vector3d v1_, v2_, v3_;
125     };
126    
127    
128     } //end namespace OpenMD
129     #endif
130    

Properties

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svn:executable *