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* Copyright (c) 2014 The University of Notre Dame. All Rights Reserved. |
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* |
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* The University of Notre Dame grants you ("Licensee") a |
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* non-exclusive, royalty free, license to use, modify and |
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* redistribute this software in source and binary code form, provided |
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* that the following conditions are met: |
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* |
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* 1. Redistributions of source code must retain the above copyright |
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* notice, this list of conditions and the following disclaimer. |
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* |
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* 2. Redistributions in binary form must reproduce the above copyright |
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* notice, this list of conditions and the following disclaimer in the |
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* documentation and/or other materials provided with the |
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* distribution. |
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* |
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* This software is provided "AS IS," without a warranty of any |
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* kind. All express or implied conditions, representations and |
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* warranties, including any implied warranty of merchantability, |
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* fitness for a particular purpose or non-infringement, are hereby |
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* excluded. The University of Notre Dame and its licensors shall not |
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* be liable for any damages suffered by licensee as a result of |
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* using, modifying or distributing the software or its |
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* derivatives. In no event will the University of Notre Dame or its |
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* licensors be liable for any lost revenue, profit or data, or for |
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* direct, indirect, special, consequential, incidental or punitive |
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* damages, however caused and regardless of the theory of liability, |
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* arising out of the use of or inability to use software, even if the |
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* University of Notre Dame has been advised of the possibility of |
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* such damages. |
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* |
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* SUPPORT OPEN SCIENCE! If you use OpenMD or its source code in your |
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* research, please cite the appropriate papers when you publish your |
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* work. Good starting points are: |
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* |
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* [1] Meineke, et al., J. Comp. Chem. 26, 252-271 (2005). |
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* [2] Fennell & Gezelter, J. Chem. Phys. 124, 234104 (2006). |
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* [3] Sun, Lin & Gezelter, J. Chem. Phys. 128, 234107 (2008). |
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* [4] Kuang & Gezelter, J. Chem. Phys. 133, 164101 (2010). |
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* [5] Vardeman, Stocker & Gezelter, J. Chem. Theory Comput. 7, 834 (2011). |
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*/ |
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/*! \file perturbations/UniformGradient.hpp |
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\brief Uniform Electric Field Gradient perturbation |
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*/ |
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#ifndef PERTURBATIONS_UNIFORMGRADIENT_HPP |
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#define PERTURBATIONS_UNIFORMGRADIENT_HPP |
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#include "perturbations/Perturbation.hpp" |
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#include "brains/SimInfo.hpp" |
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namespace OpenMD { |
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struct UniGradPars { |
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RealType a; |
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RealType b; |
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RealType c; |
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RealType alpha; |
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RealType beta; |
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}; |
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//! Applies a uniform electric field gradient to the system |
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/*! The gradient is applied as an external perturbation. The user specifies |
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\code{.unparsed} |
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uniformGradient = (a, b, c, alpha, beta); |
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\endcode |
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in the .md file where the values of a, b, c, alpha, beta are in units of |
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\f$ V / \AA^2 \f$ |
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The electrostatic potential corresponding to this uniform gradient is |
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\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$ |
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which grows unbounded and is not periodic. For these reasons, |
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care should be taken in using a Uniform Gradient with point charges. |
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The corresponding field is: |
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\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$ |
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The field also grows unbounded and is not periodic. For these reasons, |
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care should be taken in using a Uniform Gradient with point dipoles. |
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The corresponding field gradient is: |
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\f$ \nabla \mathbf{E} = \left( \array{ccc} \alpha & a & b \\ a & \beta & c \\ b & c & -(\alpha + \beta) \end{array} \right) \f$ |
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which is uniform everywhere. |
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The uniform field gradient applies a force on charged atoms, |
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\f$ \mathbf{F} = C \mathbf{E}(\mathbf{r}) \f$. |
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For dipolar atoms, the gradient applies both a potential, |
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\f$ U = -\mathbf{D} \cdot \mathbf{E}(\mathbf{r}) \f$, a force, |
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\f$ \mathbf{F} = \mathbf{D} \cdot \nabla \mathbf{E} \f$, and a torque, |
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\f$ \mathbf{\tau} = \mathbf{D} \times \mathbf{E}(\mathbf{r}) \f$. |
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For quadrupolar atoms, the uniform field gradient exerts a potential, |
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\f$ U = - \mathsf{Q}:\nabla \mathbf{E} $\f, and a torque |
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\f$ \mathbf{F} = 2 \mathsf{Q} \times \nabla \mathbf{E} \f$ |
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*/ |
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class UniformGradient : public Perturbation { |
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public: |
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UniformGradient(SimInfo* info); |
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protected: |
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virtual void initialize(); |
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virtual void applyPerturbation(); |
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private: |
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bool initialized; |
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bool doUniformGradient; |
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bool doParticlePot; |
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Globals* simParams; |
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SimInfo* info_; |
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UniGradPars pars_; |
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Mat3x3d Grad_; |
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Vector3d v1_, v2_, v3_; |
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}; |
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} //end namespace OpenMD |
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#endif |
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