HydroProp.hpp

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 * SUPPORT OPEN SCIENCE!  If you use OpenMD or its source code in your
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 * work.  Good starting points are:
 *
 * [1] Meineke, et al., J. Comp. Chem. 26, 252-271 (2005).
 * [2] Fennell & Gezelter, J. Chem. Phys. 124, 234104 (2006).
 * [3] Sun, Lin & Gezelter, J. Chem. Phys. 128, 234107 (2008).
 * [4] Vardeman, Stocker & Gezelter, J. Chem. Theory Comput. 7, 834 (2011).
 * [5] Kuang & Gezelter, Mol. Phys., 110, 691-701 (2012).
 * [6] Lamichhane, Gezelter & Newman, J. Chem. Phys. 141, 134109 (2014).
 * [7] Lamichhane, Newman & Gezelter, J. Chem. Phys. 141, 134110 (2014).
 * [8] Bhattarai, Newman & Gezelter, Phys. Rev. B 99, 094106 (2019).
 */
 
#ifndef HYDRODYNAMICS_HYDROPROP_HPP
#define HYDRODYNAMICS_HYDROPROP_HPP
 
#include "math/SquareMatrix3.hpp"
#include "math/Vector3.hpp"
 
namespace OpenMD {
 
  /**
   * @class HydroProp HydroProp.hpp "hydrodynamics/HydroProp.hpp"
   * Container for information about the hydrodynamic behavior of objects
   * interacting with surroundings.
   * @note the units for the center of resistance (a location) are in Angstroms
   *
   * @note the units of the resistance tensor are:
   *    Xitt (Translation-translation) : kcal fs mol^-1 Angstroms^-2
   *    Xirt (Rotation-translation) : kcal fs mol^-1 Angstroms^-1 radians^-1
   *    Xitr (Translation-rotation) : kcal fs mol^-1 Angstroms^-1 radians^-1
   *    Xirr (Rotation-rotation) : kcal fs mol^-1 radians^-2
   *
   * @note the units of D, the diffusion tensor are:
   *    Dtt (Translation-translation) : Angstroms^2 fs^-1
   *    Drt (Rotation-translation) :    Angstroms fs^-1
   *    Dtr (Translation-rotation) :    Angstroms fs^-1
   *    Drr (Rotation-rotation) :       fs^-1
   *
   * @note after setting the value of Xi manually, the complete() function
   * should be called to perform the Cholesky Decomposition.
   */
  class HydroProp {
  public:
    HydroProp();
    HydroProp(Vector3d cor, Mat6x6d Xi);
 
    void setName(std::string name) { name_ = name; }
    std::string getName() { return name_; }
 
    void setCenterOfResistance(Vector3d cor) {
      cor_    = cor;
      hasCOR_ = true;
    }
    Vector3d getCenterOfResistance() { return cor_; }
 
    void setResistanceTensor(Mat6x6d Xi) {
      Xi_    = Xi;
      hasXi_ = true;
      complete();
    }
    Mat6x6d getResistanceTensor() { return Xi_; }
    Mat3x3d getXitt();
    Mat3x3d getXitr();
    Mat3x3d getXirt();
    Mat3x3d getXirr();
 
    void complete();
    /*
     * Returns the result of a Cholesky decomposition to obtain the
     * square root matrix of the resistance tensor,
     *  \f[ \Xi = S S^T \f]
     * where S is a lower triangular matrix.
     */
    Mat6x6d getS();
 
    Mat6x6d getDiffusionTensor(RealType temperature);
 
    /*
     * Recomputes the Resistance Tensor at a new location
     */
    Mat6x6d getResistanceTensorAtPos(Vector3d pos);
    /*
     * Recomputes the Diffusion Tensor at a new location (and temperature)
     */
    Mat6x6d getDiffusionTensorAtPos(Vector3d pos, RealType temperature);
    /*
     * Computes the Center Of Diffusion at a particular temperature
     */
    Vector3d getCenterOfDiffusion(RealType temperature);
 
    Mat3x3d getPitchMatrix();
    RealType getScalarPitch();
    void pitchAxes(Mat3x3d& pitchAxes, Vector3d& pitches,
                   RealType& pitchScalar);
 
    /*
     * Computes the Center of Pitch
     */
    Vector3d getCenterOfPitch();
 
  private:
    std::string name_;
    Vector3d cor_;  // Center of Resistance
    Mat6x6d Xi_;    // Resistance Tensor
    Mat6x6d S_;     // Cholesky Decomposition of Xi_
    bool hasCOR_;
    bool hasXi_;
    bool hasS_;
  };
}  // namespace OpenMD
 
#endif